Number Representation

Question 31

If X is a binary number which is power of 2, then the value of X & (X – 1) is :

• 11….11
• 00…..00
• 100…..0
• 000……1

Question 32

The code which uses 7 bits to represent a character is

• ASCII
• BCD
• EBCDIC
• Gray

Question 33

The decimal number has 64 digits.The number of bits needed for its equivalent binary representation is?

• 200
• 213
• 246
• 277

Question 34

In the standard IEEE 754 single precision floating point representation, there is 1 bit for sign, 23 bits for fraction and 8 bits for exponent. What is the precision in terms of the number of decimal digits?

• 5
• 6
• 7
• 8

Question 35

Consider three registers R1, R2, and R3 that store numbers in IEEE−754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC1200000, respectively. If R3 = R1 / R2, what is the value stored in R3 ?

• 0x40800000
• 0xC0800000
• 0x83400000
• 0xC8500000

Question 36

Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127.

S : 1     E : 10000001      F : 11110000000000000000000 

Here, S,E and F denote the sign, exponent, and fraction components of the floating point representation. The decimal value corresponding to the above representation (rounded to 2 decimal places) is ____________.

• -7.75
• +7.75
• -5.57
• 5.75

Question 37

Let r denote number system radix. The only value(s) of r that satisfy the equation 

• decimal 10
• decimal 11
• decimal 10 and 11
• any value > 2

Question 38

Consider the equation (123)5 = (x8)y with x and y as unknown. The number of possible solutions is _____ .

• 1
• 2
• 3
• 4

Question 39

The hexadecimal representation of 657₈ is

• 1AF
• D78
• D71
• 32F

Question 40

Consider the following floating point format Mantissa is a pure fraction in sign-magnitude form. The decimal number 0.239 × 2¹³ has the following hexadecimal representation (without normalization and rounding off :

• 0D 24
• 0D 4D
• 4D 0D
• 4D 3D