Float Toy for ELEC1601

Sign

Mantissa

Exponent

0 1 0 0 0 0 0
2-1 2-2 2-3 2

= +( + 0 + 0 ) x

=

=

According to the encoding scheme used in the text, the most significant bit in the mantissa must not be turned off.

Some encoding schemes also omit the most significant bit of the mantissa because it is by definition a “1” (this is referred to as a hidden bit). We do not use this.