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Digital Logic Flashcards

7 cards from real GATE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Digital Logic flashcards as text
  1. What is the output of the Boolean expression F = A·(A+B)?

    Answer: A

    By absorption law, A·(A+B) = A.

  2. A D flip-flop stores the value of D on which edge of the clock?

    Answer: Rising edge

    A positive-edge-triggered D flip-flop captures D on the rising (positive) edge of the clock.

  3. How many 2-to-4 decoders (with enable) are needed to build a 4-to-16 decoder?

    Answer: 5

    One 2-to-4 decoder drives the enable of four 2-to-4 decoders, totaling 5 decoders.

  4. Which Karnaugh map grouping size is NOT valid when simplifying Boolean expressions?

    Answer: 3

    K-map groups must be powers of 2 (1, 2, 4, 8, …); grouping 3 cells is invalid.

  5. The complement of (A+B)·C using De Morgan's theorem is:

    Answer: A'·B'+C'

    Applying De Morgan's twice: [(A+B)·C]' = (A+B)' + C' = A'·B' + C'.

  6. In a synchronous counter, all flip-flops are clocked:

    Answer: Simultaneously

    In a synchronous counter, all flip-flops share the same clock signal and trigger simultaneously.

  7. Which logic family typically has the highest noise margin?

    Answer: CMOS

    CMOS has higher noise margins than TTL or ECL because its output swings nearly rail-to-rail.