Postulate 2 (a) x+0=x (b) x+1 = x Postulate 5 (a) x + x' = 1 (b) xx' = 0 Theorem 1 (a) x+x=x (b) x+x=x Theorem 2 (a) x+1=1 (b) x+0=0 Theorem 3, involution (x')' = x Postulate 3, commutative (a) x+y=yx (b) xy = yx Theorem 4, associative (a) x + (y + z) = (x + y) + z (b) x(yz) = (xy)z

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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Can you draw the a circuit diagram for each question based their truth table 

Postulate 2
(a)
x+0=x
(b)
x+1 = x
Postulate 5
(a)
x + x' = 1
(b)
xx' = 0
Theorem 1
(a)
x+x=x
(b)
x+x=x
Theorem 2
(a)
x+1=1
(b)
x+0=0
Theorem 3, involution
(x')' = x
Postulate 3, commutative
(a)
x+y=yx
(b)
xy = yx
Theorem 4, associative
(a)
x + (y + z) = (x + y) + z
(b)
x(yz) = (xy)z
Transcribed Image Text:Postulate 2 (a) x+0=x (b) x+1 = x Postulate 5 (a) x + x' = 1 (b) xx' = 0 Theorem 1 (a) x+x=x (b) x+x=x Theorem 2 (a) x+1=1 (b) x+0=0 Theorem 3, involution (x')' = x Postulate 3, commutative (a) x+y=yx (b) xy = yx Theorem 4, associative (a) x + (y + z) = (x + y) + z (b) x(yz) = (xy)z
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