GATE 2024 Subject Name Foundation Quiz 88

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Question 1

If f_(XYZ)= (X+Y) (Y+Z') (Z+X) then find the complement of a function.

• AXY+YZ+ZX
• BX'Y+Y'Z+Z'X
• CX'Y'+Y'Z+Z'X'
• DXY+Y'Z'+ZX

Question 2

To implement the simplified value of the following Boolean functions minimum of how many AND, NOT and OR gate are required
f(A,B,C,D)=

• AOne 3-input OR gate, one 2-input AND gate and two NOT gates
• BOne 3-input OR gate, two 2-input AND gate and two NOT gates
• CTwo 3-input OR gate, one 2-input AND gate and one NOT gates
• DOne 3-input OR gate, one 2-input AND gate and one NOT gates

Question 3

A one bit full adder takes 75 nsec to produce sum and 50 nsec to produce carry. A 4 bit parallel adder is designed using this type of full adder. The maximum rate of additions per second can be provided by 4 bit parallel adder is Ax10⁶ additions/sec. The value of A is _____ .

• A44.4
• B4.44
• C0.44
• D5.44

Question 4

Find minterms and maxterms respectively for the given function
f(XYZ)= XY+X'Z

• Af=&
• Bf=&
• Cf=&
• Df=&

Question 5

Consider the multiplexer based logic circuit shown in the figure.

Which one of the following Boolean functions is realized by the circuit?

• A
• B
• C
• D

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