GATE EC 2015 Set 3 — Question 56
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Digital Circuits → Sequential Logic → Shift Registers
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Question
A three bit pseudo random number generator is shown. Initially the value of output is set to 111. The value of output after three clock cycles is

Correct answer
(D) 100
Solution
From the circuit diagram, the input equations for the flip-flops are:
Initial state (): 111After 1st clock cycle:
State: 011After 2nd clock cycle:
State: 001After 3rd clock cycle:
State: 100Thus, the output after three clock cycles is 100.
Initial state (): 111After 1st clock cycle:
State: 011After 2nd clock cycle:
State: 001After 3rd clock cycle:
State: 100Thus, the output after three clock cycles is 100.
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