CIS 351

Combinatorial Circuits

Winter 2022

  1. Draw a combinatorial circuit that implements this truth table. (You need not simplify.)
    ABCDOutput
    0000false
    0001false
    0010true
    0011true
    0100false
    0101false
    0110false
    0111false
    1000false
    1001false
    1010false
    1011true
    1100true
    1101false
    1110false
    1111true
  2. Write a Boolean expression in Sum-of-Products form that describes the truth table above.
  3. Generate a truth table and a Boolean expression for this circuit:
  4. Generate a truth table and a Boolean expression for this circuit:
  5. Draw the circuit corresponding to this Boolean expression: A(B+C)⨁D
  6. Draw the circuit corresponding to this Boolean expression:
  7. Draw the circuit and the truth table corresponding to this Boolean expression:
  8. Draw the circuit and the truth table corresponding to this Boolean expression: AB
  9. Draw the circuit and the truth table corresponding to this Boolean expression:
  10. Generate a truth table and a Boolean expression for this circuit:
  11. How many 3-input truth tables are there?
  12. How many 4-input truth tables are there?
  13. In general, how many n-input truth tables are there?

Updated Wednesday, 12 January 2022, 4:03 PM

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