Boolean Algebra

Question 1

NAND gate operation is equivalent to what operation

Answer 1

Negative-OR

Question 2

NOR gate operation is equivalent to what operation

Answer 2

Negative AND

Question 3

Mention the laws of boolean algebra

Answer 3

The basic laws of Boolean algebra, which are the commutative laws for addition and multiplication, the associative laws for addition and multiplication, and the distributive law

Question 4

Give an example of the commutative laws

Answer 4

A+B = B+A
BA= AB

Question 5

Give an example of the associative law

Answer 5

A + (B + C) = (A+B)+C
A(BC) = (AB)C

Question 6

Give an example of Distrubtive laws

Answer 6

A(B+C) = AB + AC

Question 7

Mention the rules of boolean algebra

Answer 7

A+0 = A
A+1 = 1
A.0 = A
A.1 = A
A+A = A
A+A’ = 1
A.A = A
A.A’ = 0
A’’ = A
A + AB = A
A + A’B = A+ B
(A+B)(A+C) = A + BC

Question 8

Describe the first theorm of De Morgan

Answer 8

The complement of a product of variables is equal to the sum of the complements of the variables

(XY)’ = X’ + Y’