* A combinational circuit has 3 inputs X, Y, Z and output F. Fis 1 for following input combinations: X is 0, Y is 1. • X is 0, Z is 1. • X, Y, Z are 0. • X, Y, Z are 1. • Otherwise F is 0 a) Write the truth table of the function b) Find the minimum product-of-sums equation c) Draw logic circuit using minimum number of 2-input NAND gates

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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* A combinational circuit has 3 inputs X, Y, Z and output F. F is 1 for following input
combinations:
X is 0, Y is 1.
X is 0, Z is 1.
X, Y, Z are 0.
X, Y, Z are 1.
Otherwise F is 0
а)
Write the truth table of the function
b)
Find the minimum product-of-sums equation
с)
Draw logic circuit using minimum number of 2-input NAND gates
Transcribed Image Text:* A combinational circuit has 3 inputs X, Y, Z and output F. F is 1 for following input combinations: X is 0, Y is 1. X is 0, Z is 1. X, Y, Z are 0. X, Y, Z are 1. Otherwise F is 0 а) Write the truth table of the function b) Find the minimum product-of-sums equation с) Draw logic circuit using minimum number of 2-input NAND gates
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