
MULTIPROCESSOR CONFIGURATIONS 13-23
Binary representation: 1010101.01000101000111101
The binary representation of 0.27 will not terminate and can be continued. However,
because of limited precision, we have to limit it to fit into the number format given.
Normalized form: 1.01010101000101000111101 × 2
6
Biased exponent: 6 + 127 = 133 = 10000101
Single precision format is:
0 1000 0101 0101 0101 0001 0100 0111 101
This 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.
The steps are:
i) Separate the number into ...