In the following circuit, the XOR gate has a delay in the range of 2 to 16 ns. The D flip-flop has a propagation delay from clock to Q in the range 12 to 24 ns. The setup time is 8 ns, and the hold time is 4 ns. COMB is 2-bit combinational comparator, which has been implemented using only NAND gates with response time 1 ns for each NAND gate. X Clock 2-bit COMB + D₁ CK 2₁ Delay D₂ CK 2₂ N a) Assume delay = 0 ns and compute the maximum frequency at which this circuit can be safely clocked. b) Assume delay = 5 ns and compute the maximum frequency at which this circuit can be safely clocked. Assume delay = 3 ns and compute the earliest time and latest times after or before rising clock edge at which X is allowed to change and still have proper synchronous operation?

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In the following circuit, the XOR gate has a delay in the range of 2 to 16
ns. The D flip-flop has a propagation delay from clock to Q in the range 12 to 24
ns. The setup time is 8 ns, and the hold time is 4 ns. COMB is 2-bit combinational
comparator, which has been implemented using only NAND gates with response
time 1 ns for each NAND gate.
X
Clock
COMB
2-bit
D₁
CK
2₁
Delay
D₂
CK
2₂
N
a)
Assume delay = 0 ns and compute the maximum frequency at
which this circuit can be safely clocked.
b)
Assume delay = 5 ns and compute the maximum frequency at
which this circuit can be safely clocked.
c)
Assume delay = 3 ns and compute the earliest time and latest
times after or before rising clock edge at which X is allowed to change
and still have proper synchronous operation?
Transcribed Image Text:In the following circuit, the XOR gate has a delay in the range of 2 to 16 ns. The D flip-flop has a propagation delay from clock to Q in the range 12 to 24 ns. The setup time is 8 ns, and the hold time is 4 ns. COMB is 2-bit combinational comparator, which has been implemented using only NAND gates with response time 1 ns for each NAND gate. X Clock COMB 2-bit D₁ CK 2₁ Delay D₂ CK 2₂ N a) Assume delay = 0 ns and compute the maximum frequency at which this circuit can be safely clocked. b) Assume delay = 5 ns and compute the maximum frequency at which this circuit can be safely clocked. c) Assume delay = 3 ns and compute the earliest time and latest times after or before rising clock edge at which X is allowed to change and still have proper synchronous operation?
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