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1

### GATE CSE 2002

Consider the following multiplexer where $$10, 11, 12, 13$$ are four data input lines selected by two address line combinations $${A_1}\,{A_0} = 00,01,10,11$$ respectively and $$f$$ is the output of the multiplex (or). $$EN$$ is the Enable input.

The function $$f(x,y,z)$$ implemented by the above circuit is

A
$$xyz'$$
B
$$xy+z$$
C
$$x+y$$
D
None of the above
2

### GATE CSE 2001

Consider the circuit shown below. The output of a $$2:1$$ Mux is given by the function $$(ac+bc)$$

Which of the following is true?

A
$$f = x_1^1 + {x_2}$$
B
$$f = x_1^{\,1} + {x_2} + {x_1}x_2^{\,1}$$
C
$$f = {x_1}{x_2} + {x_1}^1{x_2}^1$$
D
$$f = {x_1} + x_2^1$$
3

### GATE CSE 1996

Consider the circuit in fig shown $$f$$ implements
A
$$\overline A \overline B C + \overline A B\overline C + ABC$$
B
$$A+B+C$$
C
$$A \oplus B \oplus C$$
D
$$AB + BC + CA$$
4

### GATE CSE 1996

Consider the circuit in Fig. Which has a four bit binary number $${b_3}\,{b_2}\,{b_1}\,{b_0}\,$$ as input and a five bit binary number $${d_3}\,{d_2}\,{d_1}\,{d_0}\,$$ as output. The circuit implements:
A
Binary to Hex conversion
B
Binary to $$BCD$$ conversion
C
Binary to grey code conversion
D
Binary to radix -$$12$$ conversion
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#### Questions Asked from Combinational Circuits

On those following papers in Marks 2
Number in Brackets after Paper Indicates No. of Questions
GATE CSE 2016 Set 1 (1)
GATE CSE 2014 Set 1 (1)
GATE CSE 2007 (1)
GATE CSE 2006 (1)
GATE CSE 2003 (1)
GATE CSE 2002 (1)
GATE CSE 2001 (1)
GATE CSE 1996 (2)
GATE CSE 1990 (1)

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Class 12