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 = 1B = 1C = 0N1G1N2G2G3F

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

A = 1B = 1C = 0
  1. 1N1
  2. 2N2
  3. 3G1
  4. 4G2
  5. 5G3
2.Easy
A = 0B = 0C = 0N1N2G1G2G3F

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

A = 0B = 0C = 0
  1. 1N1
  2. 2N2
  3. 3G1
  4. 4G2
  5. 5G3
3.Medium
MUX0I0​1I1​CI2​1I3​ABS1​S0​F

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

I₀ = 0I₁ = 1I₂ = CI₃ = 1
N =
4.Medium
ABC000111100101324576

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

F = AC + AB′C′ + A′B′C′ + B′C′
L =
5.Hard
ABCD0001111000011110001103X2X4151716X121131150140819111X10

Find the minimal SOP form of F(A, B, C, D) = Σm(1, 5, 6, 7, 9, 11, 13, 15) + d(2, 4, 10, 12), where d marks the don't-care conditions. How many literals L does it contain?

F(A, B, C, D) = Σm(1, 5, 6, 7, 9, 11, 13, 15) + d(2, 4, 10, 12)
L =
6.Hard
TQ0​Q0​TQ1​Q1​TQ2​Q2​CLKUP

A 3-bit binary up counter starts at 5 (decimal, Q = 101). Which count Q (in decimal) does it show after 26 clock pulses?

Q0 = 526n = 3
Q =

Answer key

  1. 1. N2
  2. 2. G2
  3. 3. N = 5
  4. 4. L = 4
  5. 5. L = 6
  6. 6. Q = 7

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