Q1. Simplify the following Boolean expressions using K-maps: F(x,y,z) = x’y’ + yz + x’yz’ F(x,y,z) = x’y + yz’ + y’z’ F(w,x,y,z) = x’z + w’xy’ + w(x’y + xy’)

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
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Q1. Simplify the following Boolean expressions using K-maps:

  1. F(x,y,z) = x’y’ + yz + x’yz’
  2. F(x,y,z) = x’y + yz’ + y’z’
  3. F(w,x,y,z) = x’z + w’xy’ + w(x’y + xy’)

Q2. Find all the prime implicants for the following Boolean functions, and determine which are essential:

  1. F(w,x,y,z) = ∑(0,2,4,5,6,7,8,10,13,15)
  2. F(A,B,C,D) = ∑(0,2,3,5,7,8,10,11,14,15)
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