Match the LIST-I with LIST-II : BOOLEAN IDENTITIES LIST-I (Name) LIST-II…

2026

Match the LIST-I with LIST-II : BOOLEAN IDENTITIES

LIST-I (Name)

LIST-II (Identity)

A. Domination law

I. x + 1 = 1

B. Associative law

II. x + (yz) = (x + y)(x + z)

C. Distributive law

III. x + xy = x

D. Absorption law

IV. x + (y + z) = (x + y) + z

Choose the correct answer from the options given below:

  1. A-I, B-II, C-IV, D-III

  2. A-I, B-IV, C-II, D-III

  3. A-III, B-IV, C-II, D-I

  4. A-III, B-II, C-IV, D-I

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

Attempted by 426 students.

Show answer & explanation

Correct answer: B

To solve this, we match each Boolean law with its corresponding identity: 1. Domination Law: States that x + 1 = 1 and x · 0 = 0. This matches I. 2. Associative Law: States that grouping does not matter, e.g., x + (y + z) = (x + y) + z. This matches IV. 3. Distributive Law: States x + (y · z) = (x + y)(x + z) in Boolean algebra. This matches II. 4. Absorption Law: States x + xy = x. This matches III. Thus, the correct matching is A-I, B-IV, C-II, D-III.

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