Question

Answer the following question that exploits the understanding of Logic and Gates. Your simplified answer should use 3 gates.

Draw & simplify the boolean expression given by the long expression (LY'X)Z') + ((*y) )° +((XY) 2). Show work of how you simplified the expression,

Answer 1

XYZ X YZ 4 Xyz! 21 Xy'al XYZ+X Y Z ' + xyle! The expression is xyz + X Y Z'+xy'Z' = XY (Z+21) + Xyle! Negation low : Atal = 1 1 1 1 1 1 I XY (1) + Xyl2l = xy + 8 y 12 = x CY+Y/21) Distribution law! A+BC=(A+B) CAŁC) ACY+y)(4+2')) = x Cao Cy+2) = x(4+2')

Noco construct simplified expression circuit diagram ! - XC4+2") x TN (+21) +2') AND gate A2 Noa gate L or gate AND gate gates AND gate, OR gate, Not gate It resess a