# Boolean Algebra Questions and Answers What is Boolean Algebra?

Boolean algebra, a method for applying and studying mathematical logic, was created by George Boolean, an English mathematician. He wrote “An investigation into the law of thought” in 1854. This book outlined a theory of logic that uses symbols rather than words. Boolean algebra is a more algebraic approach to the subject.

#### Questions on Boolean Algebra Mathematics with answers:

Ques. In Boolean Algebra, the zero element ‘0’
(a) Has two values
(b) Is unique
(c) As atleast two values
(d) None of these
Ans. (b)

Ques. Let B={p, q, r, …..} and let two binary operations be denoted by ‘ ‘ and ‘ ’ or ‘+’ or ‘.’, then
(a) 0’ = 0
(b) 0’ = 1
(c) 1’ = 1
(d) None of these
Ans. (b)

Ques. In Boolean Algebra, the unit element ‘1’
(a) Has two values
(b) Is unique
(c) Has atleast two values
(d) None of these
Ans. (b)

Related: Biology Quiz: Endocrine System

Ques. In a Boolean Algebra B, for all x in B, x x =
(a) 0
(b) 1
(c) x
(d) None of these
Ans. (c)

Ques. In a Boolean Algebra B, for all x in B, x x =
(a) 0
(b) 1
(c) x
(d) None of these
Ans. (c)

Ques. Let B = {p, q, r, …..} and let two binary operations be denoted by ‘ ‘ and ‘ ’ or ‘+’ or ‘.’, then
(a) a a = 0
(b) a a = a
(c) a 1 = a
(d) None of these
Ans. (b)

Ques. In a Boolean Algebra B, for all x in B, x 1 =
(a) 0
(b) 1
(c) x
(d) None of these
Ans. (b)

Ques. In a Boolean Algebra B, for all x, y in B, x (x y) =
(a) y
(b) x
(c) 1
(d) 0
Ans. (b)

Ques. Let B={p, q, r, …..} and let two binary operations be denoted by ‘ ‘ and ‘ ’ or ‘+’ or ‘.’, then
(a) a (a b) = a
(b) a (a b) = b
(c) a (a b) = a b
(d) None of these
Ans. (a)

Ques. In a Boolean Algebra B, for all x, y in B, x (x y) =
(a) y
(b) x
(c) 1
(d) 0
Ans. (b)

Ques. In a Boolean Algebra B, for all x in B, (x’)’ =
(a) x
(b) x
(c) 1
(d) 0
Ans. (b)

Ques. In a Boolean Algebra B, for all x, y in B,(x y)’ =
(a) x’ v y
(b) x y
(c) 1
(d) None of these
Ans. (b)

Ques. In a Boolean Algebra B, for all x, y in B, (x y)’ =
(a) x’ y’
(b) x’ y’
(c) 1
(d) None of these
Ans. (b)

Ques. In a Boolean Algebra B, for all x in B, 1’ =
(a) 0
(b) 1
(c) x 1
(d) None of these
Ans. (a)

Related: Newton’s Laws of Motion

Ques. Dual of (x’ y’) = x y is
(a) (x’ y’) = x y
(b) (x’ y’) = x y
(c) (x’ y’)’ = x y
(d) None of these
Ans. (b)

Ques. Dual of x (y x) = x is
(a) x (y x) = x
(b) x (y x) = x
(c) (x y) A(x x) = x
(d) None of these
Ans. (a)