Computer Science: An Overview: Global Edition (12th Edition)

Published by Pearson Higher Education
ISBN 10: 1292061162
ISBN 13: 978-1-29206-116-0

Chapter 12 - Theory of Computation - Chapter Review Problems - Page 569: 5

Answer

See the explanation

Work Step by Step

Creating a Bare Bones routine to perform division without a remainder is an interesting challenge. Bare Bones is a minimalist programming language often used for educational purposes, featuring only a few simple commands. Here's how you can achieve division of X by Y, discarding any remainder: ```plaintext ; Assume X and Y are already initialized with positive values and Y != 0 ; The result of the division will be stored in RESULT ; TEMP will be used to hold temporary values clear RESULT clear TEMP while X not 0 do copy X to TEMP clear X while TEMP not 0 do dec TEMP dec Y if Y not 0 then skip else clear Y ; Here, place the original value of Y again ; Assume Y_INIT holds the initial value of Y copy Y_INIT to Y inc RESULT endif endwhile endwhile ``` In this pseudocode: - We use a loop to decrement X, simulating division by decrementing X and Y in tandem. - When Y reaches 0, we've "counted down" one full division, so we increment our RESULT by 1 and reset Y to its original value (Y_INIT). - This continues until X is fully decremented down to 0, at which point RESULT holds the division result, disregarding any remainder. Note: This pseudocode assumes the presence of some operations ("copy" and "skip") not traditionally part of Bare Bones for illustrative purposes. Adjustments may be necessary depending on the specific constraints and capabilities of your environment.
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