UGC NET CSE | September 2013 | Part 2 | Question: 7

Question

The $\text{IEEE}$ single-precision and double-precision format to represent floating-point numbers, has a length of ______ and ________ respectively.

• A. $8$ bits and $16$ bits
• B. $16$ bits and $32$ bits
• C. $32$ bits and $64$ bits
• D. $64$ bits and $128$ bits

Answer 1

The IEEE single-precision and double-precision format to represent floating-point numbers, has a length of 32 and 64 respectively.

Reference:-https://www.doc.ic.ac.uk/~eedwards/compsys/float/

Answer 2

To represent floating-point numbers in IEEE single-precision  $32$ bit computer memory is required which contain 3 fields:

1. Sign bit =$1$ bit
2. Exponent bit= $8$ bit
3. Mantissa =$ 23$ bit

while for double-precision $64$ bit is required as:

1. Sign bit=$1$ bit
2. Exponent bit =$11$ bit
3. Mantissa = $52$ bit

Option $(C)$ is correct.

Ref: IEEE-standard floating-point-numbers