Sequential Circuits

Single correct

• A$D_1 = PQ_1 + \bar{P}Q_0 + Q_1Q_0 \qquad D_0 = PQ_0 + \bar{P}Q_1 + Q_1\overline{Q_0}$
• B$D_1 = \bar{P}Q_1 + \bar{P}Q_0 + Q_1Q_0 \qquad D_0 = \bar{P}\,\overline{Q_0} + \bar{P}Q_1 + Q_1\overline{Q_0}$
• C$D_1 = \bar{P}\,\overline{Q_1} + \bar{P}Q_0 + Q_1Q_0 \qquad D_0 = \bar{P}Q_0 + \bar{P}Q_1 + Q_1\overline{Q_0}$
• D$D_1 = P\overline{Q_1} + \bar{P}Q_0 + Q_1Q_0 \qquad D_0 = P\overline{Q_0} + \bar{P}Q_1 + Q_1\overline{Q_0}$

Numerical answer

Numerical answer

Numerical answer

Single correct

• AD Flip-flop
• BD Latch
• CHalf-adder
• DDemultiplexer

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Single correct

• A(0, 0, 1)
• B(1, 0, 0)
• C(1, 0, 1)
• D(1, 1, 1)

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Single correct

• A011, 101, 000
• B001, 010, 111
• C011, 101, 111
• D001, 010, 000

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Single correct

• A$t = s + b$, $y = sb$
• B$t = b$, $y = sb$
• C$t = b$, $y = s\bar{b}$
• D$t = s + b$, $y = s\bar{b}$

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Numerical answer

Single correct

• A$Q_1Q_0$ after the 3rd cycle are 11 and after the 4th cycle are 00 respectively
• B$Q_1Q_0$ after the 3rd cycle are 11 and after the 4th cycle are 01 respectively
• C$Q_1Q_0$ after the 3rd cycle are 00 and after the 4th cycle are 11 respectively
• D$Q_1Q_0$ after the 3rd cycle are 01 and after the 4th cycle are 01 respectively

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Single correct

• A$T_1 = Q_1Q_0,\quad T_0 = \bar{Q}_1\bar{Q}_0$
• B$T_1 = \bar{Q}_1Q_0,\quad T_0 = \bar{Q}_1 + \bar{Q}_0$
• C$T_1 = Q_1 + Q_0,\quad T_0 = \bar{Q}_1 + \bar{Q}_0$
• D$T_1 = \bar{Q}_1Q_0,\quad T_0 = Q_1 + Q_0$

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Numerical answer

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Single correct

• A0, 1, 3, 7, 15, 14, 12, 8, 0
• B0, 1, 3, 5, 7, 9, 11, 13, 15, 0
• C0, 2, 4, 6, 8, 10, 12, 14, 0
• D0, 8, 12, 14, 15, 7, 3, 1, 0

Single correct

• A0110110...
• B0100100...
• C011101110...
• D011001100...

Numerical answer

Single correct

• A$k$-bit binary up counter.
• B$k$-bit binary down counter.
• C$k$-bit ring counter.
• D$k$-bit Johnson counter.

Single correct

• A001, 010, 011
• B111, 110, 101
• C100, 110, 111
• D100, 011, 001

Single correct

• A9
• B8
• C512
• D258

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Single correct

• A000
• B001
• C010
• D011

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Single correct

• A3
• B4
• C5
• D6

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