Find the complement of the following functions applying De'Morgan's theorem. a) F(x, y, z) = xyz + x'y' z b) F(x, y, z) = x(y'z + yz) Boolean Expression Simplification Using Boolean Identities a) x'(x+y)+(y + x)(x + y) b) (x+z)(xw + xw') + xz + z A Boolean function defined on three input variables x, y, and z has an output 1 when exactly two of x, y, z are having values 0, and an output 0 in all other cases. Draw the truth table for the above function and express it in canonical sum-of-product form and canonical product-of-sum form.

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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Find the complement of the following functions applying De'Morgan's theorem.
a) F(x, y, z) = x'yz' + x'y' z
b) F(x, y, z) = x(y'z + yz)
Boolean Expression Simplification Using Boolean Identities
a) x'(x+y)+ (y + x)(x + y)
b) (x+z) (xw + xw') +xz+z
A Boolean function defined on three input variables x, y, and z has an output 1 when exactly two of x,
y, z are having values 0, and an output 0 in all other cases. Draw the truth table for the above function
and express it in canonical sum-of-product form and canonical product-of-sum form.
Transcribed Image Text:Find the complement of the following functions applying De'Morgan's theorem. a) F(x, y, z) = x'yz' + x'y' z b) F(x, y, z) = x(y'z + yz) Boolean Expression Simplification Using Boolean Identities a) x'(x+y)+ (y + x)(x + y) b) (x+z) (xw + xw') +xz+z A Boolean function defined on three input variables x, y, and z has an output 1 when exactly two of x, y, z are having values 0, and an output 0 in all other cases. Draw the truth table for the above function and express it in canonical sum-of-product form and canonical product-of-sum form.
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