Question 14283 – Digital-Logic-Design

The format of the single-precision floating-point representation of a real number as per the IEEE 754 standard is as follows:

Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?

Correct Answer: B

Question 1 Explanation:

The smallest biased exponent for the normalized number is E= 1.

The smallest Mantissa M = 000…0

The smallest positive normalized number = 1.M x 2 ^E-127

= 1.0 x 2 ^{-126 .}

= 2 ^-126

exponent = 00000001 and mantissa = 00000000000000000000001

exponent = 00000001 and mantissa = 00000000000000000000000

exponent = 00000000 and mantissa = 00000000000000000000000

exponent = 00000000 and mantissa = 00000000000000000000001

0 0 votes

Article Rating

0 Comments

Inline Feedbacks

View all comments