Simplify the following Boolean functions to a minimum number of literals 1) F1(A, B, C) = A′B′C′ + AB′C′ + AB′C 2) F2(x, y) = (x + y)′(x′ + y′)′ 3) F3(a, b, c, d) = abc′d + a′bd + abcd 4) F4(A, B, C) = A′B′ + A′BC′ + (A + C′)′ 5) F5(a, b, c, d) = a′b(d′ + c′d) + b(a + a′cd)
Simplify the following Boolean functions to a minimum number of literals 1) F1(A, B, C) = A′B′C′ + AB′C′ + AB′C 2) F2(x, y) = (x + y)′(x′ + y′)′ 3) F3(a, b, c, d) = abc′d + a′bd + abcd 4) F4(A, B, C) = A′B′ + A′BC′ + (A + C′)′ 5) F5(a, b, c, d) = a′b(d′ + c′d) + b(a + a′cd)
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
Problem 1PE
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Simplify the following Boolean functions to a minimum number of literals
1) F1(A, B, C) = A′B′C′ + AB′C′ + AB′C
2) F2(x, y) = (x + y)′(x′ + y′)′
3) F3(a, b, c, d) = abc′d + a′bd + abcd
4) F4(A, B, C) = A′B′ + A′BC′ + (A + C′)′
5) F5(a, b, c, d) = a′b(d′ + c′d) + b(a + a′cd)
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