Editing IBM hexadecimal floating-point (section)

=== Example ===
Consider encoding the value −118.625 as an HFP single-precision floating-point value.

The value is negative, so the sign bit is 1.

The value 118.625<sub>10</sub> in binary is 1110110.101<sub>2</sub>. This value is normalized by moving the radix point left four bits (one hexadecimal digit) at a time until the leftmost digit is zero, yielding 0.01110110101<sub>2</sub>. The remaining rightmost digits are padded with zeros, yielding a 24-bit fraction of .0111&nbsp;0110&nbsp;1010&nbsp;0000&nbsp;0000&nbsp;0000<sub>2</sub>.

The normalized value moved the radix point two hexadecimal digits to the left, yielding a multiplier and exponent of 16<sup>+2</sup>. A bias of +64 is added to the exponent (+2), yielding +66, which is 100&nbsp;0010<sub>2</sub>.

Combining the sign, exponent plus bias, and normalized fraction produces this encoding:

:{|
|- style="text-align:center"
|style="width:20px;text-align:center;background-color:#FC9"|S
|style="width:90px;text-align:center;background-color:#99F"|Exp
|style="width:250px;text-align:center;background-color:#9F9"|Fraction
|style="text-align:center;background-color:#FFF"|&nbsp;
|- style="text-align:center"
|style="text-align:center;background-color:#FEC"|{{mono|1}}
|style="text-align:center;background-color:#CCF"|{{mono|100 0010}}
|style="text-align:center;background-color:#CFC"|{{mono|0111 0110 1010 0000 0000 0000}}
|style="text-align:center;background-color:#FFF"|&nbsp;
|}

In other words, the number represented is −0.76A000<sub>16</sub> × 16<sup>66 − 64</sup> = −0.4633789… × 16<sup>+2</sup> = −118.625