Floating Point Conversion

[Back] With floating point representation, we have a Sign, a Mantessa and an Exponent. A typical format is:

SEEE EEEE EMMM MMMM MMMM MMMM MMMM MMMM

where

• S is one bit for the sign. If it is 1, the value is negative.
• EEEEEEEE defines the exponent, which is used in the result by multiplying by 2 to the power of this value.
• MMM ... MMM defines the mantessa, which is in the format of 0.MMMM, where the first M represents a value of 0.5, the second value of 0.25, and so on

As an example if we have S of 0, the exponent of 0000 0111, and Mantessa of 1100. We then get:

Value is (2^7) * (0.5 * 1) + (0.25* 1) +(0.125 * 1) which is equal to 128 * 0.875 which is thus: 112.