Task $1$: Using the given expression do the following tasks:

Given Expression: $xY+Y(Y+Z)+Y(Y+Z)$

Design the corresponding logic circuit in Logisim.

Write the truth table.

Simplify the Boolean expression to a minimum number of literals. Provide all steps in the

paper

Design the corresponding logic circuit in Logisim of the simplified expression.

Write the truth table.

Compare truth tables and write a report about your findings.

Solution:

Task $2$: Simplify the Boolean expressions below to a minimum number of literals and draw the

corresponding logic circuit in Logisim of the simplified expression.

$F=(AB{)}^{\text{'}}(A^{\text{'}}+B)(B^{\text{'}}+B)$

$F=(A+C)(AD+A{D}^{\text{'}})+AC+C$

Solution: