Multiple choice

Consider the following logic circuit of two - four decoders. For each of the decoder F0 = 1 when i1 = 0, i2 = 0 F1 = 1 when i1 = 1, i2 = 0 and so on. Which of the following is the result of (x, y, z)?

  1. $\bar x \bar y + \bar x \bar y \bar z$
  2. $xyz$
  3. $[xy +\bar x\bar y]z$
  4. 1

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$g(x, y, z) = F0 + F1 = i\bar z + i\bar z $

x y z
0 0 F0
0 1 F1
1 0 F2
1 1 F3

$I_1 = F_2. F_3 = x\bar y.xy = 0g(x,y,z) =\bar z + z = 1$