hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Which of the following represents Absorption Law correctly?
    Question



    Which of the following represents Absorption Law correctly?

    A.

    X + Y·Z = (X + Y)·(X + Z)

    B.

    X + X·Y = X

    C.

    (X + Y)' = X' · Y'

    D.

    (X · X)' = X'

    Correct option is B

    X + X·Y = X is the correct representation of the Absorption Law. This law simplifies the expression X + X·Y to X, because if X is true, the value of Y doesn't matter.
    Important Key Points:
    1. Absorption Law simplifies expressions and reduces logic circuit complexity.
    2. It is used in Boolean simplification for minimizing gates in logic circuits.
    3. Other correct form: X · (X + Y) = X.
    Knowledge Booster:
    · X + Y·Z = (X + Y)·(X + Z) – Represents Distributive Law, not Absorption.
    · (X + Y)' = X' · Y' – Is De Morgan's Theorem.
    · (X · X)' = X'– Incorrect; X·X = X, not X'.

    Free Tests

    Free
    Must Attempt

    UPTET Paper 1: PYP Held on 23rd Jan 2022 (Shift 1)

    languageIcon English
    • pdpQsnIcon150 Questions
    • pdpsheetsIcon150 Marks
    • timerIcon150 Mins
    languageIcon English
    Free
    Must Attempt

    UPTET Paper 2 Social Science : PYP Held on 23rd Jan 2022 (Shift 2)

    languageIcon English
    • pdpQsnIcon150 Questions
    • pdpsheetsIcon150 Marks
    • timerIcon150 Mins
    languageIcon English
    Free
    Must Attempt

    UPTET Paper 2 Maths & Science : PYP Held on 23rd Jan 2022 (Shift 2)

    languageIcon English
    • pdpQsnIcon150 Questions
    • pdpsheetsIcon150 Marks
    • timerIcon150 Mins
    languageIcon English
    test-prime-package

    Access ‘KVS PGT’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    354k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow