
476 THE x86 MICROPROCESSORS
Single precision format is:
0 1000 0101 0101 0101 0001 0100 0111 101
is must be put into 32 bits, which is:
0100 0010 1010 1010 1000 1010 0011 1101
4 2 A A 8 A 3 D
i.e., 42AA 8A3D
Now, we will consider the act of converting from the IEEE format to a decimal number. e
steps are:
Separate the number into the sign, biased exponent and mantissa.i)
Remove the bias of the exponent.ii)
Write the number in the normalized formatiii)
Convert to a de-normalized binary format.iv)
Convert the above to decimal format.v)
Example 13.2
Convert the short real number 42E64000H to a decimal format.
Solution
Number in Hex : 43664000