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Digital Logic MCQ

1. We have the hexadecimal value 0 x 00000000 in the IEEE floating point representation. This will correspond to

The normalized value 2-256

The normalized value 2-127

The special value +0

The normalized value +0

Answer

Correct Answer: The special value +0

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2. Which one of the following is equivalent to (1217) 8?

(028F) 16

(0B25) 16

(2424) 16

(1217) 16

Answer

Correct Answer: (028F) 16

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3. What is the minimum size of multiplexer needed to implement any Boolean function of n variables if we are allowed to use only one multiplexer and one inverter?

2n-1 line to 1 line

2n-2 line to 1 line

2n+1 line to 1 line

2n line to 1 line

Answer

Correct Answer: 2n-1 line to 1 line

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4. Which one of the following statement hold true for the decimal value 0.25?

It cannot be represented precisely in binary

It is equivalent to binary value 0.001

It is equivalent to binary value 0.1

It is equivalent to binary value 0.01

Answer

Correct Answer: It is equivalent to binary value 0.01

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5. To implement any arbitrary Boolean function the set of components that are sufficient is

AND gate and NOT gate

XOR gate and NOT gate

2 to 1 multiplexer

AND gate and XOR gate

Answer

Correct Answer: AND gate and XOR gate

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6. The decimal value 05 in IEEE single precision floating-point representation has

No exact representation

Fraction bits of 000…..000 and exponent value of 0

Fraction bits of 100…..000 and exponent value of 0

Fraction bits of 000…..000 and exponent value of -1

Answer

Correct Answer: Fraction bits of 100…..000 and exponent value of 0

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7. For the decimal value –15 the 2’s compliment representation is

11111

10001

11100

11010

Answer

Correct Answer: 10001

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8. The output of the circuit is in the form of 4-bit. The output 0 is represented by 0000, 1 by 0001… 9 by 1001. If we design a combinational circuit which takes these 4 bits as input the output will be 1 if the digit = 5 and otherwise. Only AND, OR and NOT gates are to be used. To design this circuit the minimum number of gates required is

Answer

Correct Answer: 3

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9. Zero has two representations in

Sign magnitude

1’s compliment

Neither 1’s compliment nor Sign magnitude

Both 1’s compliment and Sign magnitude

Answer

Correct Answer: Both 1’s compliment and Sign magnitude

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10. If p denotes the number system radix then the only value of p that satisfy the equation √121p =11p is

Decimal 10

Any value <2

None of these

Any value >2

Answer

Correct Answer: Any value >2

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11. If the input is valid then only V = 1. The truth table represents

Multiplexer

Demultiplexer

Priority encoder

Decoder

Answer

Correct Answer: Priority encoder

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12. What is the simplified expression for the function f (f (x + y, y), z) if f (A, B) = A’ + B?

X’ + z

None of these

X + y’

Xyz

Answer

Correct Answer: None of these

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13. We need to construct 6-to-64 line decoder without using any other logic gates. How many 3-to-8 line decoders wit an enable input are needed for the same?

Answer

Correct Answer: 9

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14. Sign extension is a step in

Converting a signed integer from one size to another

Floating point multiplication

Arithmetic left shift

Signed 16bit integer addition

Answer

Correct Answer: Floating point multiplication

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