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GATE 2021: Digital Circuits Rapid Mini Mock (App update required to attempt this test)

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Question 1

DRAMs consist of

Question 2

Find size of ROM (in bits) to implement Dual 4 – line to 1 – line MUX with common selection inputs

Question 3

Consider the arithmetic operation shown below with base ‘r’ then find the value of r.

(55)r + (12)r + (31)r = (142)r

Question 4

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

Question 5

If X1 and X2 are the inputs to the circuit shown below, the output Q?

Question 6

A Mealy system produces a 1 output if the input has been ‘0’ for atleast by two consecutive clocks followed immediately by two consecutive 1’s. Then find minimum no. of states of system (S) and minimum number flip flops required (F).

Question 7

The clock frequency of an unknown microprocessor is 7 MHz, then the time required for a program which has 56 T states will be _____ μsec.

Question 8

Find minimum no of 2 input NOR gate required to implement the following expression Y (A, B, C) = A̅BC + B̅C + ABC

Question 9

Find which gate is redundant?

2020-02-18.png (847×624)

Question 10

Find which of the following functions are self dual functions (f).

Question 11

Which of the following combinations of logic gates can decode binary 1101?

Question 12

A finite state machine is given below

Here, X, Y are inputs and A is output. The state machine is
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Feb 1ESE & GATE EC