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:
Q 1.In Boolean Algebra, the zero element ‘0’
A. Has two values
B. As atleast two values
C. Is unique
D. None of these
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Answer:-C. Is uniqueQ 2 . 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
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Answer:-B. 0’ = 1Q 3. In Boolean Algebra, the unit element ‘1’
A. Is unique
B. Has two values
C. Has atleast two values
D. None of these
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Answer:-A. Is uniqueQ 4. In a Boolean Algebra B, for all x in B, x x =
A. 0
B. 1
C. x
D. None of these
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Answer:-C. xQ 5. In a Boolean Algebra B, for all x in B, x x =
A. x
B. 0
C. 1
D. None of these
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Answer:-C. 1Q 6. 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
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Answer:-B. a a = aQ 7. In a Boolean Algebra B, for all x in B, x 1 =
A. 0
B. 1
C. x
D. None of these
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Answer:-B. 1Q 8. In a Boolean Algebra B, for all x, y in B, x (x y) =
A. y
B. x
C. 1
D. 0
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Answer:-B. xQ 9. 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
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Answer:-B. a (a  b) = bQ 10. In a Boolean Algebra B, for all x, y in B, x (x y) =
A. y
B. x
C. 1
D. 0
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Answer:-B. xQ 11. In a Boolean Algebra B, for all x in B, (x’)’ =
A. x
B. x‘
C. 1
D. 0
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Answer:-A. xQ 12. 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
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Answer:-B. x’ y’Q 13. 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
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Answer:-B. x’ v y’Q 14. In a Boolean Algebra B, for all x in B, 1’ =
A. 0
B. 1
C. x 1
D. None of these
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Answer:-A. 0Q 15. 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
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Answer:-B. (x’ y’) = x  yQ 16. 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
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