Consider the Boolean expressionX = ABCD + ABCD + ABCD +

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Consider the Boolean expression
X = ABCD + ABCD + ABCD + ACBD
The simplified form of X is—

1. C + D
2. BC
3. CD
4. BC

Correct Option: C

X = ABCD + ABCD + ABCD + ACBD
= BCD (A + A) + ABCD + ACBD
= BCD + BCD (A + A)
∴ A + A=1
= CD (B + B)
∴ B + B=1
= CD
Hence alternative (C) is the correct answer.