Demonstrate the validity of the following identities by means of truth table: a. DeMorgan’s theorem for three variables: ( x + y + z)’ = x’y’z’ and (xyz)’ = x’ + y’ + z’ b. The distributive law: x(y + z) = xy + xz c. The associative law and x(yz) = (xy)z

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Demonstrate the validity of the following identities by means of truth table:
a. DeMorgan’s theorem for three variables: ( x + y + z)’ = x’y’z’ and (xyz)’ = x’ + y’ + z’
b. The distributive law: x(y + z) = xy + xz
c. The associative law and x(yz) = (xy)z

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