Number Representation

Question 71

The number 1102 in base 3 is equivalent to 123 in which base system?

• 4
• 5
• 6
• 8

Question 72

The binary equivalent of the decimal number 42.75 is

• 101010.110
• 100110.101
• 101010.101
• 100110.110

Question 73

What is the decimal value of the floating-point number C1D00000 (hexadecimal notation)? (Assume 32-bit, single precision floating point IEEE representation)

• 28
• -15
• -26
• -28

Question 74

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

• -2^n-1 to (2^n-1 - 1)
• -(2^n-1 - 1)to (2^n-1 - 1)
• -2^n-1 to (2^n-1 )
• -(2^n-1 + 1)to (2^n-1 - 1)

Question 75

The addition of 4-bit, two\'s complement, binary numbers 1101 and 0100 results in

• 0001 and an overflow
• 1001 and no overflow
• 0001 and no overflow
• 1001 and an overflow

Question 76

If N² = (7601)₈ where N is a positive integer, then the value of N is

• (241)₅
• (143)₆
• (165)₇
• (39)₁₆

Question 77

If (12x)₃ = (123)_x, then the value of x is

• 3
• 3 or 4
• 2
• None of these

Question 78

A computer uses 8 digit mantissa and 2 digit exponent. If a = 0.052 and b = 28E + 11 then b + a - b will

• result in an overflow error
• result in an underflow error
• be 0
• be 5.28 E + 11

Question 79

The number of digit 1 present in the binary representation of

3 × 512 + 7 × 64 + 5 × 8 + 3

• 8

• 9

• 10

• 12

Question 80

0.75 decimal system is equivalent to ____ in octal system

• 0.60
• 0.52
• 0.54
• 0.50