hw08SLN - ECE 212 HW 8 SOLUTIONS p 1 of 6

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ECE 212 HW 8 SOLUTIONS p 1 of 6 //home/vdimitrov/25851/8fec86e187657394d15416d757de3a0ac7580e1c.doc ECE 212 Homework Set 8 SOLUTIONS 1. The circuit shown is a 3-bit shift register that contains clock skew. Each flip-flop has a 2 ns propagation delay time from the clock rising edge to its Q output, and a 2 ns set-up time. (a) Neatly complete the timing diagram to show the waveforms for Q2, Q1and Q0. Note that the timing diagram includes the skewed clocks (clock1, clock0). (b) What are the register contents (the values of Q2 Q1 Q0) at t = 15 ns? (c) Remove the clock skew (remove the two 5 ns delay blocks, making clock1 and clock0 identical to clock) and construct the timing diagram for Q2, Q1, Q0. (d) What are the register contents at t = 15 ns? (e) Which timing diagram represents the correct operation of a shift register? Solution: (a) (b) At t = 15 ns, the register contents are Q2 Q1 Q0 = 111. [ The 1 input ripples through all three flip-flops at the first clock edge. ] Q2 Q1 Q0 = 1 1 1
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HW 8 SOLUTIONS p 2 of 6 (1.) (c) (d) At t = 15 ns, the register contents are Q2 Q1 Q0 = 100. (e) A shift register shifts its contents one bit position at a clock edge. The circuit with no clock skew provides correct shift register operation.
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hw08SLN - ECE 212 HW 8 SOLUTIONS p 1 of 6

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