All India Electronics and Communication Engineering (ECE) Group

For a 3-variable Boolean function F(A, B, C) = Σ(1, 3, 4, 5), what is the simplified Boolean expression for F using a K-map?
  • a)
    A'B + AB'
  • b)
    A'C' + AB'
  • c)
    A + B + C
  • d)
    AB + C'
Correct answer is option 'A'. Can you explain this answer?

Xara Das answered  •  2 days ago
Understanding the Boolean Function F(A, B, C)
The given Boolean function is F(A, B, C) = Σ(1, 3, 4, 5), which indicates the minterms where the function outputs true (1).
Karnaugh Map (K-map) Construction
1. Setup the K-map:
A 3-variable K-map has 8 cells representing all combinations of A, B, and C.
2. Fill the K-map:
Place 1s in the ce
... more
Fetching relevant content for you