Aptitude (Hughes Papers): Sample Questions 1 - 2 of 2

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Question number: 1

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Short Answer Question▾

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What is DeMorgan’s law?

Explanation

  • For two different sets or variables, A and B,

(A + B) ’ = A’B’………. (i)

(AB) ’ = A’ + B’………. . (ii)

  • This law is applicable in Boolean algebra and set operations.
  • Equation (i) says that complement of sum of two variables is equal to the product of the compliment of each variable.
  • Equation (ii) says that compliment of the product of two variables is equal to the sum of compliment of each variable.

Question number: 2

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Short Answer Question▾

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Simplify the Boolean expression:

Explanation

One of the properties of Boolean algebra is

Applying same property in the given expression,