Number Representation

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    Question 1

    The decimal value 0.5 in IEEE single precision floating point representation has

    • fraction bits of 000…000 and exponent value of 0

    • fraction bits of 000…000 and exponent value of −1

    • fraction bits of 100…000 and exponent value of 0

    • no exact representation

    Question 2

    The smallest integer that can be represented by an 8-bit number in 2’s complement form is

    • -256

    • -128

    • -127

    • 0

    Question 3

    What is the maximum decimal value that can be represented using an 8-bit unsigned binary number?

    (GATE 2015 | MCQ | 1-mark)

    • 127

    • 128

    • 255

    • 256

    Question 4

    (1217)8 is equivalent to

    • (1217)16

    • (028F)16

    • (2297)10

    • (0B17)16

    Question 5

    The octal number 326.4 is equivalent to

    • (214.2)10 and (D6.8))16

    • (212.5)10 and (D6.8))16

    • (214.5)10 and (D6.8))16

    • (214.5)10 and (D6.4))16

    Question 6

    Consider the following state diagram and its realization by a JK flip flop


    2008_37



    The combinational circuit generates J and K in terms of x, y and Q.

    The Boolean expressions for J and K are :

    • (x⊕y)'and (x⊕y)'

    • (x⊕y)'and x⊕y

    • x⊕y and (x⊕y)'

    • x⊕yand x⊕y

    Question 7

    The number of 1's in the binary representation of (3*4096 + 15*256 + 5*16 + 3) are: ISRO 2015

    • 8

    • 9

    • 10

    • 12

    Question 8

    The range of integers that can be represented by an n bit 2’s complement number system is: ISRO 2015

    • - 2n - 1 to 2n - 1 - 1

    • - (2n - 1 - 1) to (2n - 1 - 1)

    • - 2n - 1 to 2n - 1

    • - (2n - 1 + 1) to (2n - 1 - 1)

    Question 9

    What occurs when an arithmetic operation on an unsigned binary number exceeds its maximum representable limit?

    • The system generates an automatic negative sign bit

    • The value converts into a floating-point IEEE 754 standard

    • The system halts operation permanently

    • An overflow occurs and the value wraps around

    Question 10

    Which of the following binary number is the same as its 2's complement?

    • 1010

    • 0101

    • 1000

    • 1001

    There are 87 questions to complete.

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