test series

Question

Consider the following IEEE single precision format

A fractional number X is stored as (80700000)16. The decimal equivalent of X is ______.

 

 

Comments

https://steve.hollasch.net/cgindex/coding/ieeefloat.html

check special values section

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But fraction part doesn't contain all zeros.so it is not -0. It is a denormalized number which is -0.875*2^-126

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It should be -127 or -126?

Answer 1

Acc to single precision format as E=0, M ~=0 then use fraction form:

here we have convert the number to base 2 using 4 digits because of base 8.

Now first 1 bit is sign bit and next 8 bits are Exponent and remaining bits are M.

You can convert fraction number to decimal (0.875).