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Boolean algebra and Binary number system are different from each other.

Computer Science20241 markAssertion-reason

Assertion: Boolean algebra and Binary number system are different from each other.

Reason: There are some basic operations like AND, OR and NOT which are performed only in Boolean algebra.

  • (a)Both Assertion and Reason are true, and Reason is the correct explanation for Assertion.
  • (b)Both Assertion and Reason are true, but Reason is not the correct explanation for Assertion.
  • (c)Assertion is true and Reason is false.
  • (d)Assertion is false and Reason is true.

Answer

Answer

AI

Correct option: (a)

Both the Assertion and the Reason are true. Boolean algebra (a system of logic with values 0/1 and operators AND, OR, NOT used to evaluate logical statements) is indeed different from the Binary number system (a positional number system in base 2 used to represent numeric quantities, with arithmetic operators like addition), even though both use only the digits 0 and 1. The Reason correctly explains this: basic logical operations such as AND, OR and NOT are defined and performed only in Boolean algebra, not as standard operations of the binary number system. Answer: (a) Both Assertion and Reason are true, and Reason is the correct explanation for Assertion.
Boolean Algebra

From ISC 2024 Specimen Computer Science Paper 1, question 1(vi).