Question

1. Simplify the following Boolean expression: (solution should be one term) XY+XY 2. Simplify the following Boolean expression: (solution should be one term) (X+Y)(X+Y)(X'+Z”) 3. Simplify the following Boolean expression ABC+ABC'+AB'C+AB'C' 4. Simplify the following Boolean expression AB +A'C +BC 5. Simplify the following Boolean expression. (A+B)(AB)

Answer 1

1 xy + xy' x 1Y+Y') 2 2. (x+y) (x+y) (x'+2') a (x x + xylt yx + y41) (x'+2') - Xxx1 + xx2 + xy'x'+ xyl2 +Yxx' + 4 x 2 + 4y +442) x 21 & o Xy'algo Yxz' x 2 + xylaltyxz' 소 x 2 + x 4'2't + YXZ' => x 2' (144') & YX2) x 21 + XZ' (y + y) xal+xz' => x2 + YX 2' = x 21 (1+y) - Xe' Through Komap x(y +Y') 2!+XY '2' at YX 2! x2 + xy'z't 4x2 => => xyz'+xy'Z'+ xylz' + yxz' llo I lo XY 10o 100 2 Olli a xal solution is not possible with just I term,

3. A B C + ABC'+ AB'C+ A'C' A B C + c) + AB'(c + c) AB TABI ACB+B) => A 4. AB+A CABC us It can't be simplified AB+ A+B) L (A +13) (AB)' V (A+B) (A+B) - A A+AB'+BA+B B! 6 ABABA