Basic Theorems A 1 A 0 A middot 1 A middot 0 A A

Basic Theorems A + 1 = _____ A + 0 = _____ A middot 1 = _____ A middot 0 = _____ A + A\' = _____ A + A = _____ A middot A\' = _____ A middot = _____ (A + B)\' = _____ (AB)\' = _____ A + AB = _____ (A\')\' = _____

Solution

Answer:

A + 1 = 1 is right ,where A can be either zero or one.

A + 0 = A is right , where A can be either 0 or 1.

A + A = A , you are ORing the two inputs , means either of the inputs should be true , then result will be true. Here both the inputs are true means result is true.

(A+ B) \' = A\'.B\' [ It is De Morgan\'s Law , it says break the line change the sign , sign was for both A and B ]

(AB)\' = A\' + B\' , the inverse will be distributed for both the inputs and sign will be changed from * to + .