# Combinational Circuits · Digital Logic · GATE CSE

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## Marks 1

GATE CSE 2021 Set 2
Which one of the following circuits implements the Boolean function given below? f(x, y,z) = m0 + m1 + m3 +m4 + m5 + m6, where mi is the ith minterm....
GATE CSE 2020
A multiplexer is placed between a group of 32 registers and an accumulator to regulate data movement such that at any given point in time the content ...
GATE CSE 2020
If there are m input lines and n output lines for a decoder that is used to uniquely address a byte addressable 1 KB RAM, then the minimum value of m ...
GATE CSE 2013
In the following truth table $$V=1$$ if and only if the input is valid. What function does the truth table represent?...
GATE CSE 2010
The Boolean expression for the output $$f$$ of the multiplexer shown below is ...
GATE CSE 2007
How many $$3$$ to $$8$$ decodes with an enable input are needed to construct to constant $$6$$ to $$64$$ line decoder without using any other logic ga...

## Marks 2

GATE CSE 2016 Set 1
Consider the two cascaded $$2$$-to-$$1$$ multiplexers as shown in the figure. The minimal sum of products form of the output $$X$$ is...
GATE CSE 2014 Set 1
Consider the $$4$$-to-$$1$$ multiplexer with two select lines $${S_1}$$ and $${S_0}$$ given below The minimal sum-of-products form of the Boolean ex...
GATE CSE 2007
Suppose only one multiplexer and one inverter are allowed to be used to implement any Boolean function of $$n$$ variables. What is the minimum size of...
GATE CSE 2006
Consider the circuit above. Which one of the following options correctly represents $$f(x,y,z)?$$ ...
GATE CSE 2003
Consider the $$ALU$$ shown below If the operands are in $$2's$$ complement representation, which of the following operations can be performed by sui...
GATE CSE 2002
Consider the following multiplexer where $$10, 11, 12, 13$$ are four data input lines selected by two address line combinations $${A_1}\,{A_0} = 00,01... GATE CSE 2001 Consider the circuit shown below. The output of a$$2:1$$Mux is given by the function$$(ac+bc)$$Which of the following is true?... GATE CSE 1996 Consider the circuit in Fig. Which has a four bit binary number$${b_3}\,{b_2}\,{b_1}\,{b_0}\,$$as input and a five bit binary number$${d_3}\,{d_2}\...
GATE CSE 1996
Consider the circuit in fig shown $$f$$ implements ...
GATE CSE 1990
Fill in the blanks: In the two bit full-adder/sub tractor unit shown in Fig., when the switch is in position $$2.$$ $$.....$$ using $$.....$$ arithm...
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