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    • Digital Logic & Number representation

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    Question 1

    The truth table
    truthtable

    represents the Boolean function

    • A

      X

    • B

      X+Y

    • C

      X xor Y

    • D

      Y

    Question 2

    In the following truth table, V = 1 if and only if the input is valid.
    gatecs20133

    What function does the truth table represent?

    • A

      Priority encoder

    • B

      Decoder

    • C

      Multiplexer

    • D

      Demultiplexer

    Question 3

    Which one of the following expressions does NOT represent exclusive NOR of x and y?

    • A

      xy+x'y'

    • B

      x⊕y'

    • C

      x'⊕y

    • D

      x'⊕y'

    Question 4

    Which one of the following circuits is NOT equivalent to a 2-input XNOR (exclusive NOR) gate?

    GATECS201113
    • A

      A

    • B

      B

    • C

      C

    • D

      D

    Question 5

    What is the minimized sum-of-products (SOP) switching expression corresponding to the Boolean function

    f(A, B, C, D) = Σ(1, 4, 5, 9, 11, 12)?

    (GATE 2005 | MCQ | 2-mark)

    • A

      BC'D + A'CD + AB'D

    • B

      BC'D' + A'C'D + AB'D

    • C

      ABC' + ACD + B'C'D

    • D

      ACD' + A'BC' + AC'D'

    Question 6

    Consider the following circuit involving three D-type flip-flops used in a certain type of counter configuration. 

     

    If at some instance prior to the occurrence of the clock edge, P, Q and R have a value 0, 1 and 0 respectively, what shall be the value of PQR after the clock edge?

    • A

      000

    • B

      001

    • C

      010

    • D

      011

    Question 7

    Consider the data given in Q50 question. If all the flip-flops were reset to 0 at power on, what is the total number of distinct outputs (states) represented by PQR generated by the counter?

    • A

      3

    • B

      4

    • C

      5

    • D

      6

    Question 8

    The minterm expansion of f(P, Q, R) = PQ + QR' + PR' is

    • A

      m2 + m4 + m6 + m7

    • B

      m0 + m1 + m3 + m5

    • C

      m0 + m1 + m6 + m7

    • D

      m2 + m3 + m4 + m5

    Question 9

    The Boolean expression for the output 'f' of the multiplexer shown below is:

    2010



    • A

      (P⊕ Q⊕ R)'

    • B

      P⊕ Q⊕ R

    • C

      (P+Q+R)'

    • D

      P+Q+R

    Question 10

    What is the Boolean expression for the output f of the combinational logic circuit of NOR gates given below? CSE_201031

    • A

      (Q+R)'

    • B

      (P+Q)'

    • C

      (P+R)

    • D

      (P+Q+R)'

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