GATE CS 2018 - Digital Logic Quiz-4 ( Boolean Algebra & Minimization-1)

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Question 1

The min term corresponding to the boolean function F(x, y, z)= x'y + z'+ xyz is

• A∑ m(0,2,3,6,7,5)
• B∑ m(0,2,3,5,7)
• C∑ m(0,2,3,5,6,7)
• D∑ m(0,2,3, 4,6,7)

Question 2

The total number of prime implicants of the function f(w, x, y, z)=∑(0,2,4,5,6,10)is ____________.

• A2
• B3
• C4
• D5

Question 3

In the figure, as long as X₁=1 and X₂=1, the output Q remains

• Aat 1
• Bat 0
• Cat its initial value
• Dunstable

Question 4

Match the following Lists:
List-I (Logic)
A-
B-
C-

List-II (Function)
1- Sum
2- NAND
3- Carry
4- NOR

• AA-2, B-3, C-4
• BA-1, B-2, C-3
• CA-1, B-3, C-4
• D2, B-4, C-3

Question 5

Consider the following min term expression for F:

The min terms 2, 7, 8 and 13 are ‘do not care’ terms. The minimal sum-of-products form for F is

• A
• B
• C
• D

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