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Official PYQ · 2006

GATE CS 2006 Q8 — Combinational Circuits

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You are given a free running clock with a duty cycle of 50%50\% and a digital waveform ff which changes only at the negative edge of the clock. Which one of the following circuits (using clocked D flip-flops) will delay the phase of ff by 180°180°?

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Answer: C

A phase delay of 180∘180^\circ corresponds to exactly half of a clock period (T/2T/2) because the clock has a 50%50\% duty cycle.

The input waveform ff changes only at the negative edge of the clock. To delay ff by T/2T/2, we need the output to change at the positive edge of the clock, which occurs exactly half a cycle after the negative edge.

This behavior is achieved by passing ff through a positive-edge triggered D flip-flop. A positive-edge triggered D flip-flop is represented without a bubble on its clock input, as shown in Option C.

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