Given the functions G(a,b,c) = ∏M ( 1,2,3,5) and F(a,b,c) = ∑m (0,2,4,5 ), express F'+G as Sum of Minterms by filling in the blanks below: F'+G= ∑m(______________)

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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Given the functions G(a,b,c) = ∏M ( 1,2,3,5) and F(a,b,c) = ∑m (0,2,4,5 ), express F'+G as Sum of Minterms by filling in the blanks below:
F'+G= ∑m(______________)

Expert Solution
Step 1

Simplest way to convert maxterm to minterm or vice versa we find inverse:

0 1 2 3 4 5 6 7

7 6 5 4 3 2 1 0(inverse)

Inverse of 7 is 0, 6 is 1, 5 is 2 and so on...

Simplest way to find negation(F') is to find the numbers which is missing

For example in F(a,b,c) = ∑m (0,2,4,5 ) 1 3 6 7 are not there so they will be the F'

 

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