hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Identify the Boolean expression from the given options, which is equivalent to the Logic Circuit Diagram.
    Question

    Identify the Boolean expression from the given options, which is equivalent to the Logic Circuit Diagram.

    A.

    (A + B)' · C' + D

    B.

    A · B' + C' · D

    C.

    A + B' · C' + D

    D.

    (A · B' + C') · D

    Correct option is A

    Let's break down the circuit from the image:
    1. Inputs: The circuit has four inputs: A, B, C, and D.
    2. Logic Gates:
    · The first gate is a NAND gate with inputs A and B. The output of this gate will be: (A · B)'.
    · The second gate is a NOT gate applied to input C. The output will be: C'.
    · The third gate is another NOT gate applied to input B, giving: B'.
    · The final logic operation involves an OR gate that takes three inputs:
    · The output from the first NAND gate: (A · B)'
    · The output from the second NOT gate: C'
    · The input D.
    Boolean Expression:
    · The NAND gate with inputs A and B gives (A · B)'.
    · The NOT gate on C gives C'.
    · The OR gate combines:
    · (A · B)'
    · C'
    · D
    The resulting Boolean expression is: (A · B)' + C' + D

    Free Tests

    Free
    Must Attempt

    CDP Subject Test 01

    languageIcon English
    • pdpQsnIcon20 Questions
    • pdpsheetsIcon20 Marks
    • timerIcon20 Mins
    languageIcon English
    Free
    Must Attempt

    EVS Subject Test 01

    languageIcon English
    • pdpQsnIcon20 Questions
    • pdpsheetsIcon20 Marks
    • timerIcon20 Mins
    languageIcon English
    Free
    Must Attempt

    CTET Paper-I PYP (07 July 2024)

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

    Access ‘EMRS 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
    289k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow