The 2008 version of the IEEE floating-point standard, named IEEE 754-2008, includes a 16...

The 2008 version of the IEEE floating-point standard, named IEEE 754-2008, includes a 16-bit "half-precision" floating-point format. It was originally devised by computer graphics companies for storing data in which a higher dynamic range is required than can be achieved with 16-bit integers. This format has 1 sign bit, 5 exponent bits (k = 5), and 10 fraction bits (n = 10). The exponent bias is 2^5-1 — 1 = 15.

Fill in the table that follows for each of the numbers given, with the following instructions for each column:

Hex: The four hexadecimal digits describing the encoded form.

M: The value of the significand. This should be a number of the form x or where x is an integer and y is an integral power of 2. Examples include 0, •

E: The integer value of the exponent.

V: The numeric value represented. Use the notation x or x × 2^z, where x and z are integers.

D: The (possibly approximate) numerical value, as is printed using the %f formatting specification of printf

As an example, to represent the number and E = —1. Our number would therefore have an exponent field of 011102 (decimal value 15 — 1 = 14) and a significand field of 1100000000₂, giving a hex representation 3B00 The numerical value is 0.875.

You need not fill in entries marked-----.