# Solve Problems Show Work 286 Consider 16 Bit Floating Point Representation Based Ieee Floa Q27689378

Solve both problems and show your work. 2.86 Consider a 16-bit floating-point representation based on the IEEE floating-point format, with one sign bit, seven exponent bits (k-7), and eight fraction bits (n = 8). The exponent bias is 27-1-1-63. 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. 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 inclue:0, 21 The integer value of the exponent. The numeric value represented. Use the notation x or V: x x 25, where x and z are integers As an example, to represent the number 7, we would haves 0, M-, and E =-1. Our number would therefore have an exponent field of 0x3E (decimal value 63- 1-62) and a significand field OxCO (binary 110000002), giving a hex representation 3ECO You need not fill in entries marked” Hex Description -0 Smallest value > 2 512 Largest denormalized Number with hex representation 3BBO Show transcribed image text