Multiple choice

For the given Boolean expression for one truth table of an unknown function.

A B C F
0 0 0 1
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 1
1 0 1 1
1 1 0 0
1 1 1 0

The output recycles after the last state. If the above function is implemented using J-K flip flop then,

  1. $ J_A = B(\bar AC + A\bar C), K_A = A + \bar A\bar C$
  2. $ J_A = \bar B(A\bar C +\bar AC), K_A = A + \bar A\bar B$
  3. $ J_A = B(\bar AC + A\bar C), K_A = B + AC$
  4. $ J_A = \bar C(\bar AB + B\bar A), K_A = A + \bar A\bar C$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
A B C F JA KA D
0 0 0 1 X 1 0
0 0 1 0 0 X 0
0 1 0 0 0 X 0
0 1 1 0 1 X 1
1 0 0 1 X 0 1
1 0 1 1 X 1 0
1 1 0 0 0 X 0
1 1 1 0 1 x 1

$J_A = \bar ABC + AB\bar C = B (\bar AC + A\bar C)$

$K_A = A + \bar A\bar C $

$D = A\bar B\bar C + BC$

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