Multiple choice

The simplified form of the Boolean expression (X + Y + XY)(X + Z), is

  1. X + Y + Z

  2. XY + YZ

  3. X + YZ

  4. XZ + Y

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

Simplify (X + Y + XY)(X + Z). Since X + XY = X, the first term becomes (X + Y). Then (X + Y)(X + Z) = X + XZ + YX + YZ = X + XZ + XY + YZ = X(1 + Z + Y) + YZ = X + YZ.