Digital Logic & Number representation

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Question 1

What is the minimal form of the Karnaugh map shown below? Assume that X denotes a don’t care term.

 

  • b'd'

  • b'd' + b'c'

  • b'd' + a'b'c'd'

  • b'd' + b'c' + c'd'

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Question 2

The output of the following combinational circuit is F. q10 The value of F is:

  • P1+P\'2P3

  • P1+P\'2P\'3

  • P1+P2P\'3

  • P\'1+P2P3

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Question 3

A binary 3-bit down counter uses J-K flip-flops, FFi with inputs Ji, Ki and outputs Qi, i = 0, 1, 2 respectively. The minimized expression for the input from following, is Capture

  • I, III, V

  • I, IV, VI

  • II, III, V

  • II, IV, VI

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Question 4

The truth table truthtable represents the Boolean function

  • X
  • X+Y
  • X xor Y
  • Y
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Question 5

In the following truth table, V = 1 if and only if the input is valid. gatecs20133 What function does the truth table represent?

  • Priority encoder
  • Decoder
  • Multiplexer
  • Demultiplexer
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Question 6

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

  • xy+x'y'

  • x⊕y'

  • x'⊕y

  • x'⊕y'

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Question 7

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

GATECS201113

  • A

  • B

  • C

  • D

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Question 8

The simplified SOP (Sum Of Product) form of the boolean expression (P + Q' + R') . (P + Q' + R) . (P + Q + R') is

  • (P'.Q + R')

  • (P + Q'.R')

  • (P'.Q + R)

  • (P.Q + R)

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Question 9

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?

  • 000

  • 001

  • 010

  • 011

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Question 10

Consider the data given in previous 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?

  • 3

  • 4

  • 5

  • 6

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