Computer Science and Information Technology
GATE CSE topic:digital-logic PYQs
Build your understanding with focused practice from past exam papers.
Questions 51–60 of 74. Imported answers require independent review unless marked reviewed.
Question 28
Open questionCSMCQ2 marksNeeds review
Consider the Boolean function
.Which one of the following minterm lists represents the circuit given above?
Your answerChoose one option.
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Open questionCSMCQ2 marksNeeds review
Consider three registers R1, R2, and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC120000, respectively.
If
, what is the value stored in R3?Your answerChoose one option.
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Open questionCSNAT2 marksNeeds review
A processor has 64 registers and uses 16-bit instruction format. It has two types of instructions: I-type and R-type. Each I-type instruction contains an opcode, a register name, and a 4-bit immediate value. Each R-type instruction contains an opcode and two register names. If there are 8 distinct I-type opcodes, then the maximum number of distinct R-type opcodes is ______.
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Open questionCSMCQ1 markNeeds review
In 16-bit 2’s complement representation, the decimal number −28 is:
Your answerChoose one option.
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Which one of the following is NOT a valid identity?
Your answerChoose one option.
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Consider
, where X, Y and Z are all in sign-magnitude form. X and Y are each represented in
bits. To avoid overflow, the representation of Z would require a minimum of:Your answerChoose one option.
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Open questionCSNAT1 markNeeds review
The value of
is ________.Log in to check the answer
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Open questionCSNAT1 markNeeds review
Two numbers are chosen independently and uniformly at random from the set {1, 2, ..., 13}. The probability (rounded off to 3 decimal places) that their 4-bit (unsigned) binary representations have the same most significant bit is ________.
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Open questionCSMCQ2 marksNeeds review
Consider three 4-variable functions
,
, and
, which are expressed in sum-of-minterms as
,
,
. For the following circuit with one AND gate and one XOR gate, the output function f can be expressed as:
Your answerChoose one option.
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Open questionCSNAT2 marksNeeds review
What is the minimum number of 2-input NOR gates required to implement a 4-variable 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. Answer: ________.
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