Time Left - 15:00 mins

GATE 2023 Digital Logic Quiz 45

Attempt now to get your rank among 15 students!

Question 1

In IEEE-754 double precision number representation, number of exponent and mantissa bits respectively are:

Question 2

In floating point representation of +6132.789 exponent is ___________.

Question 3

In excess-127 format when exponent E′ = 225 and mantissa M ≠ 0, in such situation if we perform 0/0 or

then result is ________

Question 4

Given the following binary number in 32 bit (single precision) IEEE-754 format:00111110011011010000000000000000

The decimal value closest to this floating-point number is _______.

Question 5

Consider a 16-bit register of the following format to store a Floating Point number:

Mantissa, M is denoted as normalized signed magnitude fraction.

Exponent, E is expressed in excess-64 form.

The base of the system is 2.

Let's say 2^a is the difference(q-p) between the first smallest positive number, say p and 2nd smallest positive number, say q. Then what is the value of a?

Question 6

What will be the hexadecimal representation of the floating point number (-48.625) in single precision, after rounding off and normalization?

15 attempts
0 upvotes
0 comments

Tags :

GATE & PSU CS General

Jun 17GATE & PSU CS