1
GATE CSE 2019
MCQ (Single Correct Answer)
+1
-0.33
Consider Z = X - Y, where X, Y and Z are all in sign-magnitude form. X and Y are each represented in n bits. To avoid overflow, the representation of Z would require a minimum of:
A
n + 1 bits
B
n – 1 bits
C
n + 2 bits
D
n bits
2
GATE CSE 2019
Numerical
+2
-0.67
What is the minimum number of 2-input NOR gates required to implement a 4-variable function function expressed in sum-of-minterms form as

f = Σ(0, 2, 5, 7, 8, 10, 13, 15)?

Assume that all the inputs and their complements are available.
Your input ____
3
GATE CSE 2019
MCQ (Single Correct Answer)
+2
-0.67
Consider three 4-variable functions f1, f2 and f3, which are expressed in sum-of-minterms as

f1 = Σ(0, 2, 5, 8, 14),

f2 = Σ(2, 3, 6, 8, 14, 15),

f3 = Σ(2, 7, 11, 14)

For the following circuit with one AND gate and one XOR gate, the output function f can be expressed as: GATE CSE 2019 Digital Logic - Boolean Algebra Question 3 English
A
Σ (2, 14)
B
Σ (7, 8, 11)
C
Σ (2, 7, 8, 11, 14)
D
Σ (0, 2, 3, 5, 6, 7, 8, 11, 14, 15)
4
GATE CSE 2019
MCQ (Single Correct Answer)
+1
-0.33
Compute $$\mathop {\lim }\limits_{x \to 3} {{{x^4} - 81} \over {2{x^2} - 5x - 3}}$$
A
1
B
Limit does not exits
C
$${{53} \over {12}}$$
D
$${{108} \over {7}}$$
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