1
GATE CSE 2023
Numerical
+1
-0

A particular number is written as 132 in radix-4 representation. The same number in radix-5 representation is ____________.

Your input ____
2
GATE CSE 2023
MCQ (Single Correct Answer)
+2
-0.67

Consider a sequential digital circuit consisting of T flip-flops and D flip-flops as shown in the figure. CLKIN is the clock input to the circuit. At the beginning, Q1, Q2 and Q3 have values 0, 1 and 1, respectively.

GATE CSE 2023 Digital Logic - Sequential Circuits Question 1 English

Which one of the given values of (Q1, Q2, Q3) can NEVER be obtained with this digital circuit?

A
(0, 0, 1)
B
(1, 0, 0)
C
(1, 0, 1)
D
(1, 1, 1)
3
GATE CSE 2023
MCQ (Single Correct Answer)
+2
-0.67

A Boolean digital circuit is composed using two 4-input multiplexers (M1 and M2) and one 2-input multiplexer (M3) as shown in the figure. X0-X7 are the inputs of the multiplexers M1 and M2 and could be connected to either 0 or 1. The select lines of the multiplexers are connected to Boolean variables A, B and C as shown.

GATE CSE 2023 Digital Logic - Combinational Circuits Question 3 English

Which one of the following set of values of (X0, X1, X2, X3, X4, X5, X6, X7) will realise the Boolean function $$\overline A + \overline A \,.\,\overline C + A\,.\,\overline B \,.\,C$$ ?

A
(1, 1, 0, 0, 1, 1, 1, 0)
B
(1, 1, 0, 0, 1, 1, 0, 1)
C
(1, 1, 0, 1, 1, 1, 0, 0)
D
(0, 0, 1, 1, 0, 1, 1, 1)
4
GATE CSE 2023
MCQ (Single Correct Answer)
+2
-0.67

Consider the IEEE-754 single precision floating point numbers P=0xC1800000 and Q=0x3F5C2EF4.

Which one of the following corresponds to the product of these numbers (i.e., P $$\times$$ Q), represented in the IEEE-754 single precision format?

A
0x404C2EF4
B
0x405C2EF4
C
0xC15C2EF4
D
0xC14C2EF4
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