Consider the following circuit, which uses two D flip-flops with falling edge triggers along with -bit full adder. The flip-flops are controlled by a single clock, C.  Suppose C, Q0 and Q1 all initially have the value 0. First, fill in the blanks in the "i " = 0 (initial state)" row to show the values of D0 and D1  at this initial time (assume the results of the adder have had time to stabilize) . Next, show the values of Q0 , Q1, D0 , and D1 once they have stabilized after the ith falling edge of the clock, where i ranges from 1 to 4. Note that both the A and Carry In inputs of the adder are (Q not ) Q'0 not Q0 None of these first four rows should be the exactly the same

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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3(a): Consider the following circuit, which uses two D flip-flops with falling edge triggers along with -bit full adder. The flip-flops are controlled by a single clock, C. 

Suppose C, Q0 and Q1 all initially have the value 0.

  • First, fill in the blanks in the "i " = 0 (initial state)" row to show the values of D0 and D1  at this initial time (assume the results of the adder have had time to stabilize) .
  • Next, show the values of Q0 , Q1, D0 , and D1 once they have stabilized after the ith falling edge of the clock, where i ranges from 1 to 4. Note that both the A and Carry In inputs of the adder are (Q not ) Q'0 not Q0
  • None of these first four rows should be the exactly the same.
After the ith falling edge of clock C QoQ₁ Do D₁
i = 0 (initial state)
i = 1
i
2 =
2
3
Transcribed Image Text:After the ith falling edge of clock C QoQ₁ Do D₁ i = 0 (initial state) i = 1 i 2 = 2 3
Do
с
Ti
Qo
D Flip-Flop
PS
Q₂
Q₁
D Flip-Flop
A
B
+
Carry In
Carry Out
Sum
Transcribed Image Text:Do с Ti Qo D Flip-Flop PS Q₂ Q₁ D Flip-Flop A B + Carry In Carry Out Sum
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