GATE EC 2015 Set 3 — Question 46
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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
The circuit is a 3-bit Linear Feedback Shift Register (LFSR). From the diagram, the input to the first flip-flop is . The shift operations are and .Initial state:
State: 011
State: 001
State: 100Thus, the output after three clock cycles is 100.
1.After 1st clock cycle:
State: 011
2.After 2nd clock cycle:
State: 001
3.After 3rd clock cycle:
State: 100Thus, the output after three clock cycles is 100.
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