Complete GATE CSE 2023 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 15 of 22

Question 43

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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.
Diagram for Computer Science and Information Technology question 43

Which one of the given values of (Q1, Q2, Q3) can NEVER be obtained with this digital circuit?
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Question 44

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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.
Diagram for Computer Science and Information Technology question 44

Which one of the following sets of values of (X0, X1, X2, X3, X4, X5, X6, X7) will realise the Boolean function

?
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Question 45

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CSMCQ2 marksNeeds review
Consider the IEEE-754 single precision float point numbers P=0xC1800000 and Q=0x3F5C2EF4. Which one of the following corresponds to the product of these numbers (i.e., P × Q), represented in the IEEE-754 single precision format?
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