Construct table of minterms and maxterms for 4 variables - x,y,z,w Obtain the truth table of the following functions, and express each function in sum-of-minterms (canonical SOP) and product-of-maxterms ( canonical POS) form: a) (xy+z)(y+x'z) b) (x+y')(y'+z) c) x'z+wx'y+wyz'+w'y' d) (xy+yz'+x'z)(x+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
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Construct table of minterms and maxterms for 4 variables - x,y,z,w
Obtain the truth table of the following functions, and express each function in sum-of-minterms
(canonical SOP) and product-of-maxterms ( canonical POS) form:
a) (xy+z)(y+x'z)
b) (x+y)(y'+z)
c) x'z+wx'y+wyz'+w'y'
d) (xy+yz'+x'z)(x+z)
Simplify the following Boolean functions T1 and T2 to a minimum number of literals:
T2
0
0
0
1
1
1
1
1
A
OOO
0
0
0
LLLL
1
1
1
1
B
0
0
1
1
0
0
1
1
C
0
1
0
1
0
1
اهای
1
T1
1
1
1
0
0
0
0
0
Transcribed Image Text:Construct table of minterms and maxterms for 4 variables - x,y,z,w Obtain the truth table of the following functions, and express each function in sum-of-minterms (canonical SOP) and product-of-maxterms ( canonical POS) form: a) (xy+z)(y+x'z) b) (x+y)(y'+z) c) x'z+wx'y+wyz'+w'y' d) (xy+yz'+x'z)(x+z) Simplify the following Boolean functions T1 and T2 to a minimum number of literals: T2 0 0 0 1 1 1 1 1 A OOO 0 0 0 LLLL 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 اهای 1 T1 1 1 1 0 0 0 0 0
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