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Logic Gates

GATE Electronics & Communication · Digital Electronics - Logic Gates · 1988-2026

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2026 Q20

In the circuit shown in the Figure, A and B are logic inputs and Y is the logic output. Which of the following logic operations is realized by the circuit?

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2025 Q24

A full adder and an XOR gate are used to design a digital circuit with inputs X, Y, and Z, and output F, as shown below. The input Z is connected to the carry-in input of the full...

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2019 Q14

In the circuit shown, what are the values of F for EN = 0 and EN = 1, respectively?

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2015 PYQ

A 3-input majority gate is defined by the logic function M (a,b,c) = ab+bc+ca. Which one of the following gates is represented by the function M$$\left( {\overline {M\left( {a,b,c}...

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2014 PYQ

If X and Y are inputs and the Difference (D = X – Y) and the Borrow (B) are the outputs, which one of the following diagrams implements a half-subtractor?

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2013 PYQ

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one o...

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2009 PYQ

What are the minimum number of 2-to 1 multiplexers required to generate a 2-input AND gate and a 2-input EX-OR gate?

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2007 PYQ

The Boolean function Y=AB+CD is to be realized using only 2-input NAND gates. The minimum number of gates required is

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2004 PYQ

A Boolean function 'f' of two variables x and y is defined as follows: f(0,0)=f(0,1)=f(1,1)=1;f(1,0)=0 Assuming complements of x and y are not available, a minimum cost solution fo...

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2003 PYQ

A 0 to 6 counter consist of 3 flip-flops and a combination circuit of 2 input gate(s). The combination circuit consists of

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1997 PYQ

A 2-bit binary multiplier can be implemented using

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1995 PYQ

The minimum number of NAND gates required to implement the Boolean function $$A + A\overline B $$ $$ + A\overline B C$$ is equal to

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1993 PYQ

Boolean expression for the output of XNOR (equivalence) logic gate with inputs A and B is

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1989 PYQ

Indicate which of the following logic gates can be used to realize all possible combinational Logic functions:

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1988 PYQ

The minimum number of 2-input NAND gates required to implement the Boolean function Z=A$$\overline {B\,} $$C, assuming that A, B and C are available, is

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