Question 9186 – Data-Structures
December 20, 2023Computer-Networks
December 20, 2023Number-Systems
| Question 32 |
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?
| exponent = 00000001 and mantissa = 00000000000000000000001 | |
| exponent = 00000001 and mantissa = 00000000000000000000000 | |
| exponent = 00000000 and mantissa = 00000000000000000000000 | |
| exponent = 00000000 and mantissa = 00000000000000000000001 |
Question 32 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
Correct Answer: B
Question 32 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