Digital logic: gates, K-maps & flip-flops worksheet with answers

For the logic circuit shown, how many of the 8 combinations of the inputs A, B and C give the output F = 1? Find N.

The inputs of the logic circuit are A = 0, B = 1 and C = 1. Exactly one of its gates has the output 1. Click that gate.

1. 1N1
2. 2G1
3. 3G2

A 4-to-1 multiplexer has its select inputs S₁ = A and S₀ = B, and its data inputs tied to I₀ = C′, I₁ = 0, I₂ = C, I₃ = 0. For how many of the 8 combinations of A, B and C is the output F = 1? Find N.

A 4-to-1 multiplexer has its select inputs S₁ = A and S₀ = B, and its data inputs tied to I₀ = 0, I₁ = 0, I₂ = 0, I₃ = C′. For how many of the 8 combinations of A, B and C is the output F = 1? Find N.

A positive-edge-triggered JK flip-flop starts with Q = 0 and receives the inputs shown. Click the first clock edge at which Q goes from 1 back to 0.

1. 1clock edge 1
2. 2clock edge 2
3. 3clock edge 3
4. 4clock edge 4
5. 5clock edge 5
6. 6clock edge 6
7. 7clock edge 7
8. 8clock edge 8

A mod-100 counter is built from the minimum number of flip-flops. How many of the possible states U are never used?