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##
Similar to scientific notation, *floating point* representation
consists of a mantissa, an exponent and a sign bit.

The value of a floating point number, N, with mantissa, m, exponent, e,
and sign bit, s, is given by:

The mantissa is normalized with the binary point to the right of the
most significant bit so that

An n bit mantissa has the general form:

In a normalized mantissa, the bit to the left of the binary point,
, is always 1. Thus, is omitted from the floating
point representation and is called the *hidden bit*.

Note: Using the hidden bit convention, there is no
floating point representation for zero.

*CS 301 Class Account *

Mon Sep 13 11:15:41 ADT 1999