Computer Science and Information Technology
2023 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
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.
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.

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

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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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 45
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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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