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

Free printable Digital logic: gates, K-maps & flip-flops worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
A = 0B = 0C = 1G1N1G2G3F

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

A = 0B = 0C = 1
  1. 1N1
  2. 2G1
  3. 3G2
  4. 4G3
2.Easy
ABCF000?001?010?011?100?101?110?111?

The function F = ((A·C)′ + B)′ is 1 for exactly one combination of the inputs. Click that row of the truth table.

F = ((A·C)′ + B)′
  1. 1ABC = 000
  2. 2ABC = 001
  3. 3ABC = 010
  4. 4ABC = 011
  5. 5ABC = 100
  6. 6ABC = 101
  7. 7ABC = 110
  8. 8ABC = 111
3.Medium
MUXCI0​C′I1​C′I2​0I3​ABS1​S0​F

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

I₀ = CI₁ = C′I₂ = C′I₃ = 0
N =
4.Medium
ABC000111100101324576

Simplify F = A′B + ABC′ + AB′ to its minimal sum-of-products form. How many literals L does the simplified expression contain?

F = A′B + ABC′ + AB′
L =
5.Hard
TQ0​Q0​TQ1​Q1​TQ2​Q2​TQ3​Q3​CLKMOD-10

A synchronous decade (mod-10) counter counts 0, 1, …, 9 and then returns to 0. It starts at 5. Which count Q (in decimal) does it show after 11 clock pulses?

Q0 = 511N = 10
Q =
6.Hard
CLKT1234567

A positive-edge-triggered T flip-flop starts with Q = 0 and receives the inputs shown at 7 rising clock edges. How many times N does Q change state?

Q₀ = 0T
N =

Answer key

  1. 1. G3
  2. 2. ABC = 101
  3. 3. N = 3
  4. 4. L = 6
  5. 5. Q = 6
  6. 6. N = 5

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