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%!PS-Adobe-2.0
%%Title: 02_Binary Numbers
%%Creator: Microsoft Word
%%CreationDate: Sunday, August 23, 1992
%%Pages: (atend)
%%BoundingBox: ? ? ? ?
%%PageBoundingBox: 30 31 582 761
%%For: Dr.Merat
%%IncludeProcSet: "(AppleDict md)" 68 0
%%EndComments
%%EndProlog
%%BeginDocumentSetup
md begin

T T -31 -30 761 582 100 72 72 1 F F F F T T T psu
(Dr.Merat; document: 02_Binary Numbers)jn
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od
%%EndDocumentSetup
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-0.02430 0.(Copyright 1992 F.Merat)ashow
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2 F /|______Helvetica fnt
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(7)show
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(D)show
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(6)show
0 -2 rm
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(D)show
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(D)show
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(4)show
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(D)show
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(3)show
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(D)show
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(2)show
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(D)show
0 2 rm
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(1)show
0 -2 rm
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(D)show
0 2 rm
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(0)show
0 -2 rm
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2 F /|______Helvetica fnt
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(\))show
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2 F /|______Helvetica fnt
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(2)show
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(5)show
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(2)show
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(1)show
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2 F /|______Helvetica fnt
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(0)show
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2 F /|______Helvetica fnt
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(\))show
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(7)show
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415 324 gm
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(\256)show
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2 F /|______Helvetica fnt
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0.23422 0. 32 0.02342 0.( - 2)awidthshow
0 -3 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
(2)show
483 153 gm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.18234 0. 32 0.01823 0.(= 1)awidthshow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07745 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.10055 0. 32 0.01005 0.( - 4)awidthshow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07745 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.12329 0. 32 0.01232 0.( < 0)awidthshow
483 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
483 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(2)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=0)ashow
500 90 gm
0.21640 0.(1)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.18034 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.23422 0. 32 0.02342 0.( - 2)awidthshow
0 -3 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
(1)show
500 153 gm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.10955 0. 32 0.01095 0.(= 1)awidthshow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.04656 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.06042 0. 32 0.00604 0.( - 2)awidthshow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.04656 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07339 0. 32 0.00733 0.( = < 0)awidthshow
500 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
500 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(1)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=0)ashow
517 90 gm
0.21640 0.(1)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.18034 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.23422 0. 32 0.02342 0.( - 2)awidthshow
0 -3 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
(0)show
517 153 gm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.18234 0. 32 0.01823 0.(= 1)awidthshow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07745 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.10055 0. 32 0.01005 0.( - 1)awidthshow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07745 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.12329 0. 32 0.01232 0.( = 0)awidthshow
517 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
517 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(0)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=1)ashow
544 90 gm
0.92742 0. 32 0.09274 0.(Therefore, 217)awidthshow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.15727 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.61187 0. 32 0.06118 0.( = 11011001)awidthshow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
(2)show
F T cp
%%Page: ? 2
op
31 30 xl
1 1 pen
744 297 gm
(nc 31 30 761 582 6 rc)kp
1 setTxMode
0 fs
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07548 0.(-12-)ashow
754 259 gm
9 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.02430 0.(Copyright 1992 F.Merat)ashow
93 90 gm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.18020 0. 32 0.01802 0.(FLOWCHART \(representing the subtraction of powers method\))awidthshow
0 0 gm
(nc 105 90 581 568 6 rc)kp
64 gr
162 208 190 299 26.5 26.5 1 rr
0 gr
162.5 208.5 189.5 298.5 26.5 26.5 0 rr
183 232 gm
(nc 170 229 188 282 6 rc)kp
1 setTxMode
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(START)show
189 253 gm
(nc 105 90 581 568 6 rc)kp
0 gr
216 253 lin
nc ct 39 0 put
304 251 gm
bp
304 251 T qi
340 287 qc
340 287 qc
376 251 qc
376 251 qc
340 215 qc
340 215 qc
322 233 qc
322 233 qc
313 242 qc
313 242 qc
308 247 qc
308 247 qc
304 251 qc
304 251 T qq
ef
5 ec
(nc 105 90 581 568 6 rc)kp
346 224 gm
(nc 328 221 351 286 6 rc)kp
1 setTxMode
(x - 2)show
341 251 gm
(k)show
346 258 gm
( < 0)show
nc ct 39 0 put
340 324 gm
bp
340 324 T qi
344 309 qc
344 309 qc
340 309 qc
340 309 qc
336 309 qc
336 309 qc
338 317 qc
338 317 qc
339 321 qc
339 321 qc
339 324 qc
340 324 qc
340 324 0 gr
T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
340 290 gm
340 311 lin
nc ct 39 0 put
403 252 gm
bp
403 252 T qi
389 248 qc
389 248 qc
389 252 qc
389 252 qc
389 255 qc
389 255 qc
396 254 qc
396 254 qc
399 253 qc
399 253 qc
402 252 qc
402 252 qc
403 252 qc
403 252 T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
376 254 gm
389 254 lin
nc ct 39 0 put
304 252 gm
bp
304 252 T qi
290 248 qc
290 248 qc
290 252 qc
290 252 qc
290 255 qc
290 255 qc
297 254 qc
297 254 qc
300 253 qc
300 253 qc
303 252 qc
303 252 qc
304 252 qc
304 252 T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
259 254 gm
290 254 lin
64 gr
216 190 262 317 1 rc
0 gr
216.5 190.5 261.5 316.5 0 rc
238 218 gm
(nc 224 215 263 299 6 rc)kp
1 setTxMode
(x )show
238 228 gm
bu fc
2 F /|______Symbol fnt
bn
(\254)show
238 242 gm
bu fc
2 F /|______Helvetica fnt
bn
( N  )show
253 218 gm
(k = k)show
258 247 gm
(max)show
253 274 gm
( - 1)show
(nc 105 90 581 568 6 rc)kp
64 gr
403 218 440 291 1 rc
0 gr
403.5 218.5 439.5 290.5 0 rc
426 229 gm
(nc 412 226 436 280 6 rc)kp
1 setTxMode
(D)show
431 239 gm
(k)show
426 246 gm
( )show
426 249 gm
bu fc
2 F /|______Symbol fnt
bn
(\254)show
426 263 gm
bu fc
2 F /|______Helvetica fnt
bn
( 0)show
(nc 105 90 581 568 6 rc)kp
64 gr
466 218 503 291 1 rc
0 gr
466.5 218.5 502.5 290.5 0 rc
489 229 gm
(nc 475 226 494 282 6 rc)kp
1 setTxMode
(k )show
489 239 gm
bu fc
2 F /|______Symbol fnt
bn
(\254)show
489 253 gm
bu fc
2 F /|______Helvetica fnt
bn
( k-1)show
nc ct 39 0 put
466 252 gm
bp
466 252 T qi
452 248 qc
452 248 qc
452 252 qc
452 252 qc
452 255 qc
452 255 qc
459 254 qc
459 254 qc
462 253 qc
462 253 qc
465 252 qc
465 252 qc
466 252 qc
466 252 0 gr
T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
439 254 gm
452 254 lin
nc ct 39 0 put
448 134 gm
bp
448 134 T qi
484 170 qc
484 170 qc
520 134 qc
520 134 qc
484 98 qc
484 98 qc
466 116 qc
466 116 qc
457 125 qc
457 125 qc
452 130 qc
452 130 qc
448 134 qc
448 134 T qq
ef
5 ec
(nc 105 90 581 568 6 rc)kp
491 121 gm
(nc 478 118 496 156 6 rc)kp
1 setTxMode
(k < 0)show
448 137 gm
(nc 105 90 581 568 6 rc)kp
0 gr
340 137 lin
367 371 gm
484 371 lin
64 gr
315 325 370 426 1 rc
0 gr
315.5 325.5 369.5 425.5 0 rc
nc ct 39 0 put
556 135 gm
bp
556 135 T qi
542 131 qc
542 131 qc
542 135 qc
542 135 qc
542 138 qc
542 138 qc
549 137 qc
549 137 qc
552 136 qc
552 136 qc
555 135 qc
555 135 qc
556 135 qc
556 135 T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
520 137 gm
542 137 lin
64 gr
552 92 580 183 26.5 26.5 1 rr
0 gr
552.5 92.5 579.5 182.5 26.5 26.5 0 rr
573 116 gm
(nc 560 113 578 161 6 rc)kp
1 setTxMode
(DONE)show
533 146 gm
(nc 521 143 538 171 6 rc)kp
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(Yes)show
443 146 gm
(nc 431 143 448 166 6 rc)kp
(No)show
389 263 gm
(nc 377 260 394 288 6 rc)kp
(Yes)show
335 299 gm
(nc 323 296 340 319 6 rc)kp
(No)show
121 146 gm
(nc 105 143 152 568 6 rc)kp
18 fz
bu fc
2 F /|______Helvetica fnt
bn
(N = STARTING NUMBER  \(the number to convert\))show
140 146 gm
(k)show
146 155 gm
(max)show
140 188 gm
( = # of binary digits \(8\))show
337 347 gm
(nc 323 344 371 409 6 rc)kp
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(D)show
342 357 gm
(k)show
337 364 gm
( )show
337 367 gm
bu fc
2 F /|______Symbol fnt
bn
(\254)show
337 381 gm
bu fc
2 F /|______Helvetica fnt
bn
( 1  )show
357 347 gm
(x = x - 2)show
352 397 gm
(k)show
nc ct 39 0 put
485 289 gm
bp
485 289 T qi
481 303 qc
481 303 qc
485 303 qc
485 303 qc
488 303 qc
488 303 qc
486 296 qc
486 296 qc
485 289 qc
485 289 0 gr
T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
485 304 gm
485 371 lin
nc ct 39 0 put
340 217 gm
bp
340 217 T qi
343 202 qc
343 202 qc
340 202 qc
340 202 qc
336 202 qc
336 202 qc
338 210 qc
338 210 qc
340 217 qc
340 217 T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
340 137 gm
340 203 lin
nc ct 39 0 put
485 171 gm
bp
485 171 T qi
481 185 qc
481 185 qc
485 185 qc
485 185 qc
488 185 qc
488 185 qc
486 178 qc
486 178 qc
485 171 qc
485 171 T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
485 217 gm
485 186 lin
181 466 gm
(nc 169 463 186 563 6 rc)kp
1 setTxMode
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(ENTRY OR EXIT)show
244 466 gm
(nc 232 463 249 558 6 rc)kp
(ASSIGNMENTS)show
298 466 gm
(nc 286 463 303 521 6 rc)kp
(BRANCH)show
nc ct 39 0 put
174 306 gm
bp
174 306 T qi
168 328 qc
168 328 qc
174 328 qc
174 328 qc
179 328 qc
179 328 qc
176 317 qc
176 317 qc
173 306 qc
174 306 qc
174 306 32 gr
T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
4 4 pen
172 458 gm
172 327 lin
nc ct 39 0 put
237 334 gm
bp
237 334 T qi
231 356 qc
231 356 qc
237 356 qc
237 356 qc
242 356 qc
242 356 qc
240 345 qc
240 345 qc
237 333 qc
237 334 qc
237 334 T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
235 458 gm
235 354 lin
289 458 gm
289 332 lin
nc ct 39 0 put
318 288 gm
bp
318 288 T qi
301 304 qc
301 304 qc
306 307 qc
306 307 qc
311 309 qc
311 309 qc
315 298 qc
315 298 qc
318 288 qc
318 288 T qq
qf
ef
7 ec
(nc 105 90 581 568 6 rc)kp
289 331 gm
304 305 lin
422 293 gm
(nc 410 289 445 357 6 rc)kp
1 setTxMode
2 fs
bu fc
{}mark T /Helvetica-Oblique /|______Helvetica-Oblique 0 rf
bn
bu fc
2 F /|______Helvetica-Oblique fnt
bn
(There is no)show
440 293 gm
( 2)show
436 303 gm
(k)show
440 309 gm
( in x.)show
512 221 gm
(nc 500 217 517 343 6 rc)kp
(Decrement bit counter)show
336 428 gm
(nc 320 424 355 562 6 rc)kp
(There is a 2)show
332 491 gm
(k)show
336 497 gm
( in x.)show
350 428 gm
(Set bit to 1 and subtract.)show
F T cp
%%Page: ? 3
op
31 30 xl
1 1 pen
744 297 gm
(nc 31 30 761 582 6 rc)kp
1 setTxMode
0 fs
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07548 0.(-13-)ashow
754 259 gm
9 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.02430 0.(Copyright 1992 F.Merat)ashow
83 90 gm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.01861 0.(In pseudo code the same algorithm can be documented as:)ashow
111 90 gm
0.05859 0. 32 0.00585 0.(x = number_tobe_conv)awidthshow
125 90 gm
-0.10380 0.(k = number_digits - 1)ashow
139 90 gm
-0.06590 0.(\(* number_digits = 8 do loop starts at 7 *\))ashow
167 90 gm
-0.10379 0.(WHILE k)ashow
currentfont SwToSym
-0.10379 0.(\263)ashow
setfont
-0.10379 0.(0 do)ashow
181 117 gm
-0.14057 0.(BEGIN)ashow
196 117 gm
-0.05232 0.(if \(x-2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.06280 0.(k)ashow
0 3 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.07966 0.(\)<0 THEN d\(k\)=0)ashow
210 135 gm
-0.26545 0.(ELSE)ashow
224 135 gm
-0.14057 0.(BEGIN)ashow
238 135 gm
-0.26257 0.(d\(k\) = 1)ashow
253 135 gm
-0.29989 0.(x = x-2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(k)show
267 135 gm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.27597 0.(END)ashow
281 117 gm
-0.15423 0.(k=k-1)ashow
295 117 gm
-0.27597 0.(END)ashow
337 90 gm
-0.03480 0.(trace loop:)ashow
351 90 gm
-0.02548 0.(setup:)ashow
365 90 gm
-0.13093 0.(x=217)ashow
379 90 gm
-0.47923 0.(k=7)ashow
393 90 gm
(looping:)show
407 90 gm
-0.47923 0.(k=7)ashow
422 108 gm
0.08628 0.(217-2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.08041 0.(7)ashow
0 3 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
0.14309 0.(=89)ashow
436 108 gm
0.03178 0.(d\(7\)=1)ashow
450 108 gm
-0.24703 0.(x=89)ashow
464 90 gm
-0.47923 0.(k=6)ashow
479 108 gm
0.06965 0.(89-2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.06636 0.(6)ashow
0 3 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
0.11810 0.(=25)ashow
493 108 gm
0.03178 0.(d\(6\)=1)ashow
507 108 gm
-0.24703 0.(x=25)ashow
521 90 gm
-0.47923 0.(k=5)ashow
536 108 gm
0.08932 0.(25-2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.08509 0.(5)ashow
0 3 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
0.13150 0.(=-7)ashow
550 108 gm
0.03178 0.(d\(5\)=0)ashow
564 90 gm
64 gr
0 0 1 1 4 rc
psb
/wp$gray 1 def

/wp$top 567 def

/wp$left 85 def

/wp$right 301 def

/wp$bottom 597 def

/wp$box {newpath wp$left wp$bottom moveto wp$left wp$top lineto wp$right wp$top lineto wp$right wp$bottom lineto closepath } def

wp$gray setgray wp$box fill

pse
337 306 gm
1 setTxMode
-0.47923 0.(k=4)ashow
352 324 gm
0.05032 0.(25-2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(4)show
0 3 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
0.11468 0.(=9)ashow
366 324 gm
0.03178 0.(d\(4\)=1)ashow
380 324 gm
-0.47923 0.(x=9)ashow
394 306 gm
-0.47923 0.(k=3)ashow
409 324 gm
0.02304 0.(9-2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(3)show
0 3 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
0.05455 0.(=1)ashow
423 324 gm
0.03178 0.(d\(3\)=1)ashow
437 324 gm
-0.47923 0.(x=1)ashow
451 306 gm
-0.47923 0.(k=2)ashow
466 324 gm
0.06922 0.(1-2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.06851 0.(2)ashow
0 3 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
0.10586 0.(=-3)ashow
480 324 gm
0.03178 0.(d\(2\)=0)ashow
494 306 gm
-0.47923 0.(k=1)ashow
509 324 gm
0.06922 0.(1-2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.06851 0.(1)ashow
0 3 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
0.10586 0.(=-2)ashow
523 324 gm
0.03178 0.(d\(1\)=0)ashow
537 306 gm
-0.47923 0.(k=0)ashow
552 324 gm
0.02304 0.(1-2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(0)show
0 3 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
0.05455 0.(=0)ashow
566 324 gm
0.03178 0.(d\(0\)=1)ashow
580 324 gm
-0.47923 0.(x=0)ashow
F T cp
%%Page: ? 4
op
31 30 xl
1 1 pen
744 297 gm
(nc 31 30 761 582 6 rc)kp
1 setTxMode
0 fs
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07548 0.(-14-)ashow
754 259 gm
9 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.02430 0.(Copyright 1992 F.Merat)ashow
86 90 gm
4 fs
18 fz
bu fc
2 F /|______Helvetica fnt
bn
380.99763 ul
-0.09226 0.(Even Odd decimal-to-binary conversion method:)ashow
115 90 gm
0 fs
14 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.04870 0.(Example:)ashow
129 90 gm
-0.00738 0.(Convert N = 217)ashow
0 2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(10)show
0 -2 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
( to \(D)show
0 2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(7)show
0 -2 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(D)show
0 2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(6)show
0 -2 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(D)show
0 2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(5)show
0 -2 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(D)show
0 2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(4)show
0 -2 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(D)show
0 2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(3)show
0 -2 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(D)show
0 2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(2)show
0 -2 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(D)show
0 2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(1)show
0 -2 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(D)show
0 2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(0)show
0 -2 rm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(\))show
0 2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(2)show
171 90 gm
0.16479 0. 32 0.01647 0.(Test each bit \(starting from the least significant\))awidthshow
186 90 gm
0.30232 0.(217)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.25193 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.45341 0.(/2)ashow
186 153 gm
0.58258 0. 32 0.05825 0.(= 108 with remainder=1)awidthshow
186 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
186 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(0)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=1)ashow
203 90 gm
0.30232 0.(108)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.25193 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.45341 0.(/2)ashow
203 153 gm
0.52810 0. 32 0.05281 0.(= 54 with remainder=0)awidthshow
203 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
203 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(1)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=0)ashow
220 90 gm
0.29713 0.(54)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.24760 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.44561 0.(/2)ashow
220 153 gm
0.52810 0. 32 0.05281 0.(= 27 with remainder=0)awidthshow
220 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
220 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(2)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=0)ashow
237 90 gm
0.29713 0.(27)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.24760 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.44561 0.(/2)ashow
237 153 gm
0.52810 0. 32 0.05281 0.(= 13 with remainder=1)awidthshow
237 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
237 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(3)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=1)ashow
254 90 gm
0.29713 0.(13)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.24760 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.44561 0.(/2)ashow
254 153 gm
0.47195 0. 32 0.04719 0.(= 6 with remainder=1)awidthshow
254 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
254 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(4)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=1)ashow
271 90 gm
0.28948 0.(6)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.24124 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.43417 0.(/2)ashow
271 153 gm
0.47195 0. 32 0.04719 0.(= 3 with remainder=0)awidthshow
271 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
271 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(5)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=0)ashow
288 90 gm
0.28948 0.(3)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.24124 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.43417 0.(/2)ashow
288 153 gm
0.47195 0. 32 0.04719 0.(= 1 with remainder=1)awidthshow
288 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
288 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(6)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=1)ashow
305 90 gm
0.28948 0.(1)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.24124 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.43417 0.(/2)ashow
305 153 gm
0.47195 0. 32 0.04719 0.(= 0 with remainder=1)awidthshow
305 324 gm
bu fc
2 F /|______Symbol fnt
bn
(\256)show
305 342 gm
bu fc
2 F /|______Helvetica fnt
bn
0.34130 0.(D)ashow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.21902 0.(7)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.53890 0.(=1)ashow
332 90 gm
0.92742 0. 32 0.09274 0.(Therefore, 217)awidthshow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.15727 0.(10)ashow
0 -2 rm
12 fz
bu fc
2 F /|______Helvetica fnt
bn
0.61187 0. 32 0.06118 0.( = 11011001)awidthshow
0 2 rm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
(2)show
F T cp
%%Page: ? 5
op
31 30 xl
1 1 pen
744 297 gm
(nc 31 30 761 582 6 rc)kp
1 setTxMode
0 fs
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07548 0.(-15-)ashow
754 259 gm
9 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.02430 0.(Copyright 1992 F.Merat)ashow
93 90 gm
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.41259 0. 32 0.04125 0.(FLOWCHART \(representing the even-odd method\))awidthshow
121 182 gm
(nc 105 179 151 408 6 rc)kp
18 fz
bu fc
2 F /|______Helvetica fnt
bn
(N = STARTING NUMBER)show
140 182 gm
(k)show
146 191 gm
(max)show
140 224 gm
( = # of binary digits \(8\))show
188 475 gm
(nc 176 472 193 572 6 rc)kp
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(ENTRY OR EXIT)show
356 475 gm
(nc 344 472 361 567 6 rc)kp
(ASSIGNMENTS)show
269 475 gm
(nc 257 472 274 530 6 rc)kp
(BRANCH)show
nc ct 39 0 put
184 382 gm
bp
184 382 T qi
178 404 qc
178 404 qc
184 404 qc
184 404 qc
189 404 qc
189 404 qc
184 382 qc
184 382 32 gr
T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
4 4 pen
182 460 gm
182 402 lin
nc ct 39 0 put
264 381 gm
bp
264 381 T qi
258 403 qc
258 403 qc
264 403 qc
264 403 qc
269 403 qc
269 403 qc
264 381 qc
264 381 T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
262 460 gm
262 401 lin
nc ct 39 0 put
351 390 gm
bp
351 390 T qi
345 412 qc
345 412 qc
351 412 qc
351 412 qc
356 412 qc
356 412 qc
351 390 qc
351 390 T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
349 460 gm
349 410 lin
64 gr
245 92 273 156 25 25 1 rr
1 1 pen
0 gr
245.5 92.5 272.5 155.5 26.5 26.5 0 rr
64 gr
170 285 198 376 26.5 26.5 1 rr
0 gr
170.5 285.5 197.5 375.5 26.5 26.5 0 rr
190 306 gm
(nc 177 303 195 356 6 rc)kp
1 setTxMode
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(START)show
197 330 gm
(nc 105 90 591 582 6 rc)kp
0 gr
224 330 lin
nc ct 39 0 put
224 329 gm
bp
224 329 T qi
260 365 qc
260 365 qc
296 329 qc
296 329 qc
260 293 qc
260 293 qc
242 311 qc
242 311 qc
233 320 qc
233 320 qc
224 329 qc
224 329 T qq
ef
5 ec
(nc 105 90 591 582 6 rc)kp
264 309 gm
(nc 251 306 269 355 6 rc)kp
1 setTxMode
(N = 0?)show
nc ct 39 0 put
402 329 gm
bp
402 329 T qi
388 325 qc
388 325 qc
388 329 qc
388 329 qc
388 332 qc
388 332 qc
395 331 qc
395 331 qc
401 329 qc
402 329 qc
402 329 0 gr
T qq
qf
ef
7 ec
(nc 105 90 591 582 6 rc)kp
375 330 gm
388 330 lin
64 gr
332 285 378 376 1 rc
0 gr
332.5 285.5 377.5 375.5 0 rc
353 304 gm
(nc 339 301 373 348 6 rc)kp
1 setTxMode
(x )show
353 314 gm
bu fc
2 F /|______Symbol fnt
bn
(\254)show
353 328 gm
bu fc
2 F /|______Helvetica fnt
bn
( N  )show
368 304 gm
(k )show
368 314 gm
bu fc
2 F /|______Symbol fnt
bn
(\254)show
368 328 gm
bu fc
2 F /|______Helvetica fnt
bn
( 0)show
(nc 105 90 591 582 6 rc)kp
64 gr
240 191 277 264 1 rc
0 gr
240.5 191.5 276.5 263.5 0 rc
262 202 gm
(nc 248 199 267 248 6 rc)kp
1 setTxMode
(M )show
262 217 gm
bu fc
2 F /|______Symbol fnt
bn
(\254)show
262 231 gm
bu fc
2 F /|______Helvetica fnt
bn
( 0)show
(nc 105 90 591 582 6 rc)kp
64 gr
470 286 516 375 1 rc
0 gr
470.5 286.5 515.5 374.5 0 rc
492 290 gm
(nc 478 287 513 367 6 rc)kp
1 setTxMode
(k )show
492 300 gm
bu fc
2 F /|______Symbol fnt
bn
(\254)show
492 314 gm
bu fc
2 F /|______Helvetica fnt
bn
( k+1)show
508 290 gm
(x )show
508 300 gm
bu fc
2 F /|______Symbol fnt
bn
(\254)show
508 314 gm
bu fc
2 F /|______Helvetica fnt
bn
( int\(x/2\))show
nc ct 39 0 put
458 212 gm
bp
458 212 T qi
494 248 qc
494 248 qc
530 212 qc
530 212 qc
494 176 qc
494 176 qc
476 194 qc
476 194 qc
467 203 qc
467 203 qc
458 212 qc
458 212 T qq
ef
0 gr
5 ec
(nc 105 90 591 582 6 rc)kp
500 198 gm
(nc 487 195 505 231 6 rc)kp
1 setTxMode
(k > 7)show
458 214 gm
(nc 105 90 591 582 6 rc)kp
0 gr
355 214 lin
64 gr
400 271 437 390 1 rc
0 gr
400.5 271.5 436.5 389.5 0 rc
nc ct 39 0 put
566 213 gm
bp
566 213 T qi
552 209 qc
552 209 qc
552 213 qc
552 213 qc
552 216 qc
552 216 qc
559 215 qc
559 215 qc
565 213 qc
566 213 qc
566 213 T qq
qf
ef
7 ec
(nc 105 90 591 582 6 rc)kp
530 214 gm
552 214 lin
64 gr
562 169 590 260 26.5 26.5 1 rr
0 gr
562.5 169.5 589.5 259.5 26.5 26.5 0 rr
582 193 gm
(nc 569 190 587 238 6 rc)kp
1 setTxMode
(DONE)show
542 223 gm
(nc 530 220 547 248 6 rc)kp
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(Yes)show
452 223 gm
(nc 440 220 457 243 6 rc)kp
(No)show
252 272 gm
(nc 240 269 257 297 6 rc)kp
(Yes)show
306 308 gm
(nc 294 305 311 328 6 rc)kp
(No)show
425 277 gm
(nc 411 274 435 380 6 rc)kp
14 fz
bu fc
2 F /|______Helvetica fnt
bn
(D)show
430 287 gm
(k)show
425 294 gm
( )show
425 297 gm
bu fc
2 F /|______Symbol fnt
bn
(\254)show
425 311 gm
bu fc
2 F /|______Helvetica fnt
bn
(  Mod\(x/2\))show
nc ct 39 0 put
355 284 gm
bp
355 284 T qi
358 269 qc
358 269 qc
355 269 qc
355 269 qc
351 269 qc
351 269 qc
355 284 qc
355 284 0 gr
T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
355 214 gm
355 269 lin
nc ct 39 0 put
494 249 gm
bp
494 249 T qi
490 263 qc
490 263 qc
494 263 qc
494 263 qc
497 263 qc
497 263 qc
494 249 qc
494 249 T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
494 286 gm
494 263 lin
265 107 gm
(nc 252 104 270 152 6 rc)kp
1 setTxMode
(DONE)show
nc ct 39 0 put
471 330 gm
bp
471 330 T qi
456 326 qc
456 326 qc
456 330 qc
456 330 qc
456 333 qc
456 333 qc
471 330 qc
471 330 0 gr
T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
438 330 gm
456 330 lin
nc ct 39 0 put
260 263 gm
bp
260 263 T qi
256 277 qc
256 277 qc
260 277 qc
260 277 qc
263 277 qc
263 277 qc
260 263 qc
260 263 T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
260 293 gm
260 277 lin
nc ct 39 0 put
333 330 gm
bp
333 330 T qi
318 326 qc
318 326 qc
318 330 qc
318 330 qc
318 333 qc
318 333 qc
333 330 qc
333 330 T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
296 330 gm
318 330 lin
nc ct 39 0 put
259 155 gm
bp
259 155 T qi
255 169 qc
255 169 qc
259 169 qc
259 169 qc
262 169 qc
262 169 qc
259 155 qc
259 155 T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
259 191 gm
259 169 lin
428 469 gm
(nc 416 466 447 582 6 rc)kp
1 setTxMode
12 fz
bu fc
2 F /|______Helvetica fnt
bn
(assign remainder to )show
442 469 gm
(appropriate bit)show
nc ct 39 0 put
423 390 gm
bp
423 390 T qi
417 412 qc
417 412 qc
423 412 qc
423 412 qc
428 412 qc
428 412 qc
423 390 qc
423 390 32 gr
T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
4 4 pen
421 460 gm
421 410 lin
500 466 gm
(nc 488 463 505 565 6 rc)kp
1 setTxMode
(keep dividing by 2)show
nc ct 39 0 put
1 1 pen
495 381 gm
bp
495 381 T qi
489 403 qc
489 403 qc
495 403 qc
495 403 qc
500 403 qc
500 403 qc
495 381 qc
495 381 32 gr
T qq
qf
ef
6 ec
(nc 105 90 591 582 6 rc)kp
4 4 pen
493 451 gm
493 401 lin
F T cp
%%Page: ? 6
op
31 30 xl
1 1 pen
744 297 gm
(nc 31 30 761 582 6 rc)kp
1 setTxMode
0 fs
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07548 0.(-16-)ashow
754 259 gm
9 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.02430 0.(Copyright 1992 F.Merat)ashow
83 90 gm
14 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.01861 0.(In pseudo code the same algorithm can be documented as:)ashow
111 90 gm
0.03082 0. 32 0.00308 0.(N = number_tobe_conv)awidthshow
125 90 gm
-0.15956 0.(x = quotient)ashow
139 90 gm
-0.10797 0.(M = current digit)ashow
167 90 gm
-0.08973 0.(IF N)ashow
currentfont SwToSym
-0.08973 0.(\263)ashow
setfont
-0.08973 0.(0 THEN)ashow
181 117 gm
-0.14057 0.(BEGIN)ashow
195 117 gm
-0.64137 0.(x=N)ashow
209 117 gm
-0.47923 0.(k=0)ashow
223 117 gm
-0.18775 0.(WHILE k<8 DO)ashow
237 135 gm
-0.14057 0.(BEGIN)ashow
251 135 gm
-0.01921 0.(d\(k\) = mod\(x,2\))ashow
265 135 gm
-0.15672 0.(x = int\(x/2\))ashow
279 135 gm
-0.28352 0.(k=k+1)ashow
293 135 gm
-0.27597 0.(END)ashow
307 117 gm
-0.27597 0.(END)ashow
335 90 gm
-0.03480 0.(trace loop:)ashow
377 90 gm
(looping:)show
391 90 gm
-0.47923 0.(k=1)ashow
405 108 gm
-0.10687 0.(d\(0\) = mod\(217,2\) = 1)ashow
419 108 gm
-0.09390 0.(x=int\(217,2\) = 108)ashow
433 90 gm
-0.47923 0.(k=2)ashow
447 108 gm
-0.10687 0.(d\(1\) = mod\(108,2\) = 0)ashow
461 108 gm
-0.11332 0.(x=int\(108,2\) = 54)ashow
475 90 gm
-0.47923 0.(k=3)ashow
489 108 gm
-0.12390 0.(d\(1\) = mod\(54,2\) = 0)ashow
503 108 gm
-0.13542 0.(x=int\(54,2\) = 27)ashow
517 90 gm
-0.47923 0.(k=4)ashow
531 108 gm
-0.12390 0.(d\(1\) = mod\(27,2\) = 1)ashow
545 108 gm
-0.13542 0.(x=int\(27,2\) = 13)ashow
559 90 gm
-0.47923 0.(k=5)ashow
573 108 gm
-0.12390 0.(d\(1\) = mod\(13,2\) = 1)ashow
587 108 gm
-0.16052 0.(x=int\(13,2\) = 6)ashow
601 90 gm
-0.47923 0.(k=6)ashow
615 108 gm
-0.14288 0.(d\(1\) = mod\(6,2\) = 0)ashow
629 108 gm
-0.18962 0.(x=int\(6,2\) = 3)ashow
643 90 gm
-0.47923 0.(k=7)ashow
657 108 gm
-0.14288 0.(d\(1\) = mod\(3,2\) = 1)ashow
671 108 gm
-0.18962 0.(x=int\(3,2\) = 1)ashow
685 90 gm
-0.47923 0.(k=8)ashow
699 108 gm
-0.14288 0.(d\(1\) = mod\(1,2\) = 1)ashow
713 108 gm
-0.18962 0.(x=int\(1,2\) = 0)ashow
335 306 gm
-0.02548 0.(setup:)ashow
349 306 gm
-0.13093 0.(x=217)ashow
363 306 gm
-0.47923 0.(k=0)ashow
419 306 gm
0.32598 0.(odd)ashow
461 306 gm
0.21733 0.(even)ashow
503 306 gm
0.21733 0.(even)ashow
545 306 gm
0.32598 0.(odd)ashow
587 306 gm
0.32598 0.(odd)ashow
629 306 gm
0.21733 0.(even)ashow
671 306 gm
0.32598 0.(odd)ashow
713 306 gm
0.32598 0.(odd)ashow
F T cp
%%Page: ? 7
op
31 30 xl
1 1 pen
744 297 gm
(nc 31 30 761 582 6 rc)kp
1 setTxMode
0 fs
10 fz
bu fc
2 F /|______Helvetica fnt
bn
0.07548 0.(-17-)ashow
754 259 gm
9 fz
bu fc
2 F /|______Helvetica fnt
bn
-0.02430 0.(Copyright 1992 F.Merat)ashow
96 90 gm
bu fc
{}mark T /Times-Roman /|______Times-Roman 0 rf
bn
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.12817 0. 32 0.01281 0.(How about fractions?)awidthshow
126 90 gm
0.21789 0. 32 0.02178 0.(No one said we couldn\325t have negative powers of two!)awidthshow
158 90 gm
0.07206 0.(0.1101)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(2)show
158 144 gm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
(=)show
158 171 gm
0.18809 0.(1)ashow
bu fc
2 F /|______Symbol fnt
bn
0.20646 0.(\264)ashow
bu fc
2 F /|______Times-Roman fnt
bn
0.18809 0.(2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.13426 0.(-1)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.24520 0. 32 0.02452 0.( + 1)awidthshow
bu fc
2 F /|______Symbol fnt
bn
0.20646 0.(\264)ashow
bu fc
2 F /|______Times-Roman fnt
bn
0.18809 0.(2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.13426 0.(-2)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.24520 0. 32 0.02452 0.( + 0)awidthshow
bu fc
2 F /|______Symbol fnt
bn
0.20646 0.(\264)ashow
bu fc
2 F /|______Times-Roman fnt
bn
0.18809 0.(2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.13426 0.(-3)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.24520 0. 32 0.02452 0.( + 1)awidthshow
bu fc
2 F /|______Symbol fnt
bn
0.20646 0.(\264)ashow
bu fc
2 F /|______Times-Roman fnt
bn
0.18809 0.(2)ashow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.26852 0.(-4)ashow
177 144 gm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
(=)show
177 171 gm
0.23690 0.(1)ashow
bu fc
2 F /|______Symbol fnt
bn
0.26004 0.(\264)ashow
bu fc
2 F /|______Times-Roman fnt
bn
0.49377 0. 32 0.04937 0.(0.5 + 1)awidthshow
bu fc
2 F /|______Symbol fnt
bn
0.26004 0.(\264)ashow
bu fc
2 F /|______Times-Roman fnt
bn
0.49377 0. 32 0.04937 0.(.25 + 0)awidthshow
bu fc
2 F /|______Symbol fnt
bn
0.26004 0.(\264)ashow
bu fc
2 F /|______Times-Roman fnt
bn
0.56076 0. 32 0.05607 0.(.125 + 1)awidthshow
bu fc
2 F /|______Symbol fnt
bn
0.26004 0.(\264)ashow
bu fc
2 F /|______Times-Roman fnt
bn
0.26652 0.(.0625)ashow
195 144 gm
(=)show
195 171 gm
0.60928 0. 32 0.06092 0.(.5 + .25 + 0 + .0625)awidthshow
212 144 gm
(=)show
212 171 gm
0.06355 0.(0.8125)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.11883 0.(10)ashow
243 90 gm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.52124 0. 32 0.05212 0.(Binary )awidthshow
bu fc
2 F /|______Symbol fnt
bn
0.30731 0. 32 0.03073 0.( \256)awidthshow
bu fc
2 F /|______Times-Roman fnt
bn
0.59906 0. 32 0.05990 0.( decimal)awidthshow
243 234 gm
0.06271 0. 32 0.00627 0.(conversion is always exact)awidthshow
273 90 gm
0.65917 0. 32 0.06591 0.(Decimal )awidthshow
bu fc
2 F /|______Symbol fnt
bn
0.33615 0. 32 0.03361 0.( \256)awidthshow
bu fc
2 F /|______Times-Roman fnt
bn
0.57174 0. 32 0.05717 0.( binary)awidthshow
273 234 gm
0.26504 0. 32 0.02650 0.(conversions are NOT always exact)awidthshow
303 90 gm
0.05017 0.(Example:)ashow
333 90 gm
0.15293 0.(0.42357)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.14117 0.(10)ashow
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.07492 0. 32 0.00749 0.( )awidthshow
bu fc
2 F /|______Symbol fnt
bn
0.18078 0.(@)ashow
bu fc
2 F /|______Times-Roman fnt
bn
0.82351 0. 32 0.08235 0.( 0.011011000...)awidthshow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(2)show
333 270 gm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.70404 0. 32 0.07040 0.(\(binary numbers typically do not terminate\))awidthshow
364 90 gm
0.56625 0. 32 0.05662 0.(Example: \(using subtraction of powers conversion\):)awidthshow
394 90 gm
0.19866 0.(0.42357)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.18338 0.(10)ashow
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.23757 0. 32 0.02375 0.( - 2)awidthshow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.15270 0.(-1)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.50262 0. 32 0.05026 0.( = .42357-.5 < 0)awidthshow
394 378 gm
bu fc
2 F /|______Symbol fnt
bn
(\336)show
394 414 gm
bu fc
2 F /|______Times-Roman fnt
bn
(d)show
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(-1)show
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.05204 0.(=0)ashow
425 90 gm
0.15304 0.(0.42357)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.14126 0.(10)ashow
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.18310 0. 32 0.01831 0.( - 2)awidthshow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.11764 0.(-2)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.73623 0. 32 0.07362 0.( = .42357-.25=.17357)awidthshow
425 378 gm
bu fc
2 F /|______Symbol fnt
bn
(\336)show
425 414 gm
bu fc
2 F /|______Times-Roman fnt
bn
(d)show
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(-2)show
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.05204 0.(=1)ashow
456 90 gm
0.14797 0.(0.17357)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.13659 0.(10)ashow
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.17700 0. 32 0.01770 0.( - 2)awidthshow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.11375 0.(-3)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.73394 0. 32 0.07339 0.( = .17357-.125=.04857)awidthshow
456 378 gm
bu fc
2 F /|______Symbol fnt
bn
(\336)show
456 414 gm
bu fc
2 F /|______Times-Roman fnt
bn
(d)show
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(-3)show
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.05204 0.(=1)ashow
487 90 gm
0.17753 0.(0.04857)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.16387 0.(10)ashow
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.21240 0. 32 0.02124 0.( - 2)awidthshow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.13647 0.(-4)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.52490 0. 32 0.05249 0.( = .04857-.0625 < 0)awidthshow
487 378 gm
bu fc
2 F /|______Symbol fnt
bn
(\336)show
487 414 gm
bu fc
2 F /|______Times-Roman fnt
bn
(d)show
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(-4)show
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.05204 0.(=0)ashow
518 90 gm
0.15769 0.(0.04857)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.14556 0.(10)ashow
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.18859 0. 32 0.01885 0.( - 2)awidthshow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.12123 0.(-5)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.58578 0. 32 0.05857 0.( = .04857-.03125 = 0.01732)awidthshow
518 378 gm
bu fc
2 F /|______Symbol fnt
bn
(\336)show
518 414 gm
bu fc
2 F /|______Times-Roman fnt
bn
(d)show
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(-5)show
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.05204 0.(=1)ashow
549 90 gm
0.14916 0.(0.01732)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.13769 0.(10)ashow
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.17837 0. 32 0.01783 0.( - 2)awidthshow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.11466 0.(-6)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.58547 0. 32 0.05854 0.( = .01732-.015625 = 0.001695)awidthshow
549 378 gm
bu fc
2 F /|______Symbol fnt
bn
(\336)show
549 414 gm
bu fc
2 F /|______Times-Roman fnt
bn
(d)show
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(-6)show
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.05204 0.(=1)ashow
580 90 gm
0.19116 0.(0.001695)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.17477 0.(10)ashow
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.22644 0. 32 0.02264 0.( - 2)awidthshow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.14555 0.(-7)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.21759 0. 32 0.02175 0.(  < 0)awidthshow
580 378 gm
bu fc
2 F /|______Symbol fnt
bn
(\336)show
580 414 gm
bu fc
2 F /|______Times-Roman fnt
bn
(d)show
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(-7)show
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.05204 0.(=0)ashow
611 90 gm
0.19116 0.(0.001695)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.17477 0.(10)ashow
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.22644 0. 32 0.02264 0.( - 2)awidthshow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.14555 0.(-8)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.21759 0. 32 0.02175 0.(  < 0)awidthshow
611 378 gm
bu fc
2 F /|______Symbol fnt
bn
(\336)show
611 414 gm
bu fc
2 F /|______Times-Roman fnt
bn
(d)show
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(-8)show
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.05204 0.(=0)ashow
642 90 gm
0.19116 0.(0.001695)ashow
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.17477 0.(10)ashow
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.22644 0. 32 0.02264 0.( - 2)awidthshow
0 -3 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.14555 0.(-9)ashow
0 3 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.21759 0. 32 0.02175 0.(  < 0)awidthshow
642 378 gm
bu fc
2 F /|______Symbol fnt
bn
(\336)show
642 414 gm
bu fc
2 F /|______Times-Roman fnt
bn
(d)show
0 2 rm
12 fz
bu fc
2 F /|______Times-Roman fnt
bn
(-9)show
0 -2 rm
14 fz
bu fc
2 F /|______Times-Roman fnt
bn
0.05204 0.(=0)ashow
F T cp
%%Trailer
cd
end
%%Pages: 7 0
%%EOF


-- 
Michael C. Sidman                               | mike@snowhite.eeap.cwru.edu 
Electrical Engineering and Applied Physics      |____________________________
Case Western Reserve University                 | "Cleveland - it's not hell, 
Cleveland, Ohio 44106                           | but a damn good simulation."