Match the LIST-I with LIST-II LIST-I (Boolean Algebra Law) LIST-II (Axioms) A.…
2025
Match the LIST-I with LIST-II
LIST-I (Boolean Algebra Law) | LIST-II (Axioms) |
A. Absorption Law | I. a + 1 = 1 |
B. Bounded Law | II. a + 0 = a |
C. Identity Law | III. a * (b + c) = (ab) + (ac) |
D. Distributive Law | IV. a + (a*b) = a |
Choose the correct answer from the options given below:
- A.
A-IV, B-I, C-II, D-III
- B.
A-IV, B-III, C-I, D-II
- C.
A-III, B-IV, C-II, D-I
- D.
A-II, B-III, C-IV, D-I
Attempted by 470 students.
Show answer & explanation
Correct answer: A
Correct matching: the correct associations and brief reasons are given below.
Absorption law: a + (a * b) = a — a OR (a AND b) simplifies to a because a already covers the cases where a is true.
Bounded law: a + 1 = 1 — OR with 1 (true) yields true.
Identity law: a + 0 = a — OR with 0 (false) leaves the original value unchanged.
Distributive law: a * (b + c) = (a*b) + (a*c) — multiplication distributes over addition.
Therefore the correct matching is: Absorption → a + (a*b) = a; Bounded → a + 1 = 1; Identity → a + 0 = a; Distributive → a * (b + c) = (a*b) + (a*c).
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