Solution

Key Points

 

Identity Law:

A term OR‘ed with a “0” or AND‘ed with a “1” will always equal that term

• A + 0 = A   A variable OR’ed with 0 is always equal to the variable
• A . 1 = A    A variable AND’ed with 1 is always equal to the variable

Idempotent Law:

An input that is AND‘ed or OR´ed with itself is equal to that input

• A + A = A    A variable OR’ed with itself is always equal to the variable
• A . A = A    A variable AND’ed with itself is always equal to the variable

Absorptive Law :

This law enables a reduction in a complicated expression to a simpler one by absorbing like terms.

• A + (A.B) = (A.1) + (A.B) = A(1 + B) = A  (OR Absorption Law)
• A(A + B) = (A + 0).(A + B) = A + (0.B) = A  (AND Absorption Law)

Domination Law:

• A+1=1 (OR Domination Law)
• A⋅0=0 (AND Domination Law)