In order to store floating numbers in computer using the normalized represetation and 32 - bit single
precision, the number of bits used for exponent and fraction are _______ , ___________ respectively.
Explanation
The correct answer is 8,23.
According to IEEE 754 Standards, IEEE 754 has 3 basic components
The Sign of Mantissa
This is as simple as the name. 0 represents a positive number while 1 represents a negative number. The Biased exponent
The exponent field needs to represent both positive and negative exponents. A bias is added to the actual exponent in order to get the stored exponent.
The Normalised Mantissa
The mantissa is part of a number in scientific notation or a floating-point number, consisting of its significant digits. Here we have only 2 digits, i.e. O and 1. So a normalized mantissa is one with only one 1 to the left of the decimal.
For a single-precision IEEE 754 floating-point Standard
The sign is of 1 bit.
Exponent is of 8 bits
The mantissa is of 23 bits.
That total combines into 32-bits.
