4) F(x, y, z) = xy + yz + XZ %3D

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Create K-maps and then simplify for the following functions:
4) F(x, y, z) = xy +yz + xZ
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Transcribed Image Text:4) F(x, y, z) = xy +yz + xZ MI10 LITE 5G AI QUAD CAMERA
Expert Solution
Step 1

Steps to solve expression using k-map:

  1. Select K-map according to the number of variables.
  2. Identify minterms or maxterms as given in problem.
  3. For SOP put 1’s in blocks of K-map respective to the minterms (0’s elsewhere).
  4. For POS put 0’s in blocks of K-map respective to the maxterms(1’s elsewhere).
  5. Make rectangular groups containing total terms in power of two like 2,4,8 ..(except 1) and try to cover as many elements as you can in one group.
  6. From the groups made in step 5 find the product terms and sum them up for SOP form.
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