WBJECA 2025 Computer PYQ — Choose the correct answer: If X is a Boolean variable then… | Mathem Solvex | Mathem Solvex
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WBJECA 2025 — Computer PYQ
WBJECA | Computer | 2025
Choose the correct answer: If X is a Boolean variable then
Choose the correct answer:
A.
0+X=X
(Correct Answer)
B.
1+X=X
C.
X+X=X
D.
None of these
Correct Answer:
0+X=X
Explanation
In Boolean algebra, the plus sign (+) represents the logical OR operation. Let's analyze the options:
(A) 0+X=X: This is the Identity Law. In an OR operation, if one input is 0, the output is determined by the other input (X).
If X=0, then 0+0=0.
If X=1, then 0+1=1.
This statement is Correct.
(B) 1+X=X: This is incorrect. In Boolean algebra, 1+X=1 (the Annihilator Law or Dominance Law), because in an OR operation, if any input is 1, the output is always 1.
(C) X+X=X: This is the Idempotent Law. An OR operation performed on the same variable results in the variable itself.
If X=0, then 0+0=0.
If X=1, then 1+1=1.
This statement is also Correct.
Correct Answers: (A) and (C)
Explanation
In Boolean algebra, the plus sign (+) represents the logical OR operation. Let's analyze the options:
(A) 0+X=X: This is the Identity Law. In an OR operation, if one input is 0, the output is determined by the other input (X).
If X=0, then 0+0=0.
If X=1, then 0+1=1.
This statement is Correct.
(B) 1+X=X: This is incorrect. In Boolean algebra, 1+X=1 (the Annihilator Law or Dominance Law), because in an OR operation, if any input is 1, the output is always 1.
(C) X+X=X: This is the Idempotent Law. An OR operation performed on the same variable results in the variable itself.
