# 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:

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)

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)

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)

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

Ans. (c)

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

Ans. (c)

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)

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

Ans. (b)

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

Ans. (b)

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)

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

Ans. (b)

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

Ans. (b)

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)

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)

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

Ans. (a)

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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)

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)