A Novel Graphical Technique for Combinational Logic Representation and Optimization

<div>A compass and a ruler (marked with <svg height="10.0062pt" id="M313" style="vertical-align:-0.04980946pt" version="1.1" viewbox="-0.0498162 -9.95639 11.5378 10.0062" width="11.5378pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z" id="g113-51"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.24,-5.741)"><path d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z" id="g50-111"></path></g></svg> units) can be effectively used to quickly find the points that can be merged together to generate a more optimized logic representation using the logic laws proposed earlier (Section <a href="https://static.hindawi.com/articles/complexity/volume-2017/9696342/figures/#sec3.5">3.5</a>).</div>

Complexity

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Figure 11

Figure 11: A Novel Graphical Technique for Combinational Logic Representation and Optimization 