QI (a) Given a = (a + b' + c') (a + b' +c) and 8 = a +b.c . Show whether x = 8 by using the truth table. (b) A combinational logic eircuit that has the truth table outputs as in TABLE 1. TABLE 1: Truth Table of Logic Circuit 0001 000 0000 I 01 Obtain (i) Conjuctive Nomal Form (CNF) for S). (ii) Disjuctive Normal Form (DNF) for S:. (e) Let P(x, y): 2x + y = 1, where the universe of discourse is the set of all integers. Examine the truth values of the following: (i) VxayP(x, y) (ii) VavyP(x, y)

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QI
(a)
Given a = (a + b' + c') (a + b' +c) and 8 = a +b.c . Show whether
x = 8 by using the truth table.
(b)
A combinational logic eircuit that has the truth table outputs as in TABLE 1.
TABLE 1: Truth Table of Logic Circuit
0001
000
0000
I 01
Obtain
(i)
Conjuctive Nomal Form (CNF) for S).
(ii)
Disjuctive Normal Form (DNF) for S:.
(e)
Let P(x, y): 2x + y = 1, where the universe of discourse is the set of all
integers. Examine the truth values of the following:
(i)
VxayP(x, y)
(ii)
VavyP(x, y)
Transcribed Image Text:QI (a) Given a = (a + b' + c') (a + b' +c) and 8 = a +b.c . Show whether x = 8 by using the truth table. (b) A combinational logic eircuit that has the truth table outputs as in TABLE 1. TABLE 1: Truth Table of Logic Circuit 0001 000 0000 I 01 Obtain (i) Conjuctive Nomal Form (CNF) for S). (ii) Disjuctive Normal Form (DNF) for S:. (e) Let P(x, y): 2x + y = 1, where the universe of discourse is the set of all integers. Examine the truth values of the following: (i) VxayP(x, y) (ii) VavyP(x, y)
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