4. Given a 100-MHz clock signal, derive a circuit using D flip-flops to generate 50-MHz and 25-MHz clock signals. Draw a timing diagram for all three clock signals, assuming reasonable delays.

Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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3. Show a circuit that implements the gated SR latch using NAND gates only
4. Given a 100-MHz clock signal, derive a circuit using D flip-flops to generate 50-MHz and 25-MHz clock
signals. Draw a timing diagram for all three clock signals, assuming reasonable delays.
5. An SR flip-flop is a flip-flop that has set and reset inputs like a gated SR latch. Show how an SR flip-
flop can be constructed using a D flip-flop and other logic gates.
6. The gated SR latch in Figure 5.5a (from Text (Brown), reproduced below) has unpredictable behavior if
the S and R inputs are both equal to 1 when the Clk changes to 0. One way to solve this problem is to create
a set-dominant gated SR latch in which the condition S = R = 1 causes the latch to be set to 1. Design a set-
dominant gated SR latch and show the circuit.
DT
R
Clk
S
Clk
R
0
R'
(a) Circuit
CIK S R
0
1
1
1
1
X
0
0
1
1
X
0
1
0
1
Q(1+1)
Q(1) (no change)
Q(1) (no change)
0
1
X
(b) Characteristic table
7:
Transcribed Image Text:3. Show a circuit that implements the gated SR latch using NAND gates only 4. Given a 100-MHz clock signal, derive a circuit using D flip-flops to generate 50-MHz and 25-MHz clock signals. Draw a timing diagram for all three clock signals, assuming reasonable delays. 5. An SR flip-flop is a flip-flop that has set and reset inputs like a gated SR latch. Show how an SR flip- flop can be constructed using a D flip-flop and other logic gates. 6. The gated SR latch in Figure 5.5a (from Text (Brown), reproduced below) has unpredictable behavior if the S and R inputs are both equal to 1 when the Clk changes to 0. One way to solve this problem is to create a set-dominant gated SR latch in which the condition S = R = 1 causes the latch to be set to 1. Design a set- dominant gated SR latch and show the circuit. DT R Clk S Clk R 0 R' (a) Circuit CIK S R 0 1 1 1 1 X 0 0 1 1 X 0 1 0 1 Q(1+1) Q(1) (no change) Q(1) (no change) 0 1 X (b) Characteristic table 7:
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