A sequential circuit has one primary input m, and one primary output n. It has two D flip-flops with inputs D₂ and Do, and corresponding flip-flop outputs Q₂ and Q. It also has a T flip-flop with input T₁ and output Q₁. The circuit is wired in a way described by the following equations: D₂ = m'Q₂Q₁ +mQ₂Q₁ + m²Q₂'Q₁ 'Qo' T₁ = Q₁'Qo' +mQ₁ + mQ₂Qỏ + m’Q₂'Q + m²Q₂Q₁ Do = m'Q₂' + m'Q₁³Qo' + m²Q₁Q₁ +mQ₂Q₁Qo' n = Q₂Q₁ +mQ₁' + m'Q₂'Qo' ● ● Given the circuit described above, complete the state table shown below: Input 0 0 1 1 Q₂ 0 0 1 1 Present State Q₁ ● 000 - A ● 001 - B 010 - C 011 - D 0 0 1 1 Qo 0 1 0 1 Flip-flop excitation Output D₂ T₁ Do Q₂ Draw the state diagram of the circuit above using the state encoding (Q₂Q₁Q₁): 100 - E 101 - F 110 - G 111 - H ● ● Next State Q₁ Qo

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A sequential circuit has one primary input m, and one primary output n. It has two D flip-flops with
inputs D₂ and Do, and corresponding flip-flop outputs Q₂ and Q. It also has a T flip-flop with input
T₁ and output Q₁. The circuit is wired in a way described by the following equations:
D₂ = m'Q₂Q₁ +mQ₂Q₁ + m²Q₂'Q₁ 'Qo'
T₁ = Q₁'Qo' +mQ₁ + mQ₂Qỏ + m’Q₂'Q + m²Q₂Q₁
Do = m'Q₂' + m'Q₁³Qo' + m²Q₁Q₁ +mQ₂Q₁Qo'
n = Q₂Q₁ +mQ₁' + m'Q₂'Qo'
●
●
Given the circuit described above, complete the state table shown below:
Input
0
0
1
1
Q₂
0
0
1
1
Present State
Q₁
● 000 - A
●
001 - B
010 - C
011 - D
0
0
1
1
Qo
0
1
0
1
Flip-flop excitation
Output D₂ T₁ Do
Draw the state diagram of the circuit above using the state encoding (Q₂Q₁Q₁):
100 - E
101 - F
110 - G
111 - H
●
●
●
Q₂
●
Next State
Q₁ Qo
Transcribed Image Text:A sequential circuit has one primary input m, and one primary output n. It has two D flip-flops with inputs D₂ and Do, and corresponding flip-flop outputs Q₂ and Q. It also has a T flip-flop with input T₁ and output Q₁. The circuit is wired in a way described by the following equations: D₂ = m'Q₂Q₁ +mQ₂Q₁ + m²Q₂'Q₁ 'Qo' T₁ = Q₁'Qo' +mQ₁ + mQ₂Qỏ + m’Q₂'Q + m²Q₂Q₁ Do = m'Q₂' + m'Q₁³Qo' + m²Q₁Q₁ +mQ₂Q₁Qo' n = Q₂Q₁ +mQ₁' + m'Q₂'Qo' ● ● Given the circuit described above, complete the state table shown below: Input 0 0 1 1 Q₂ 0 0 1 1 Present State Q₁ ● 000 - A ● 001 - B 010 - C 011 - D 0 0 1 1 Qo 0 1 0 1 Flip-flop excitation Output D₂ T₁ Do Draw the state diagram of the circuit above using the state encoding (Q₂Q₁Q₁): 100 - E 101 - F 110 - G 111 - H ● ● ● Q₂ ● Next State Q₁ Qo
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