Number Representation

Question 61

The hexadecimal equivalent of the octal number 2357 is :

• 2EE
• 2FF
• 4EF
• 4FE

Question 62

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

• 1010
• 0101
• 1000
• 1001

Question 63

Which of the given number has its IEEE-754 32 bit floating point representation as 0 10000000 110 0000 0000 0000 0000 0000

• 2.5
• 3.0
• 3.5
• 4.5

Question 64

The range of integers that can be represented by an 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 65

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

• 8
• 9
• 10
• 12

Question 66

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 67

Which of the following is the most efficient to perform arithmetic operations on the numbers?

• Sign-magnitude
• 1’s complement
• 2’s complement
• 9’s complement

Question 68

How many different BCD numbers can be stored in 12 switches? (Assume two position or on-off switches)

• 2¹²
• 2¹²-1
• 10¹²
• 10³

Question 69

The IEEE-754 double-precision format to represent floating point numbers, has a length of _____ bits.

• 16
• 32
• 48
• 64

Question 70

When two BCD numbers 0x14 and 0x08 are added what is the binary representation of the resultant number?

• 0x22
• 0x1c
• 0x16
• results in overflow