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GATE | Quiz for Sudo GATE 2021 | Question 51

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  • Last Updated : 18 Dec, 2020
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Consider the following option(s) is/are NOT correct regarding Boolean expressions.

Note – This question is multiple select questions (MSQ).
(A) A + A’B + A’B’C + A’B’C’D = ABCD
(B) If f(A, B, C) = B⊕C, then f(A, B, C)’ = B☉C
(C) Dual of (A + B + C)(A’B’)’ = A’B’C’ + A + B
(D) None


Answer: (A) (C)

Explanation:

I. A + A'B + A'B'C + A'B'C'D
= A + B + A'B'C + A'B'C'D
= A + B + C + A'B'C'D'
= A + B + C + D
So, statement I is false.

II. Complement of a XOR function is a XNOR function. 
So, statement II is true.

III. Dual of (A + B + C)(A'B')' = ABC + (A' + B')'
So, statement III is false. 


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