Consider the following two 9-bit floating point representations based on the IEEE floating point format. Neither has a sign bit - they can only represent non-negative numbers. i).

Format A. There is 1 sign bit

There are k=5 exponent bits.

The exponent bias is 15.

There are n=3 fraction bits.

ii). Format B.

There is 1 sign bit

There are k=3 exponent bits.

The exponent bias is 3.

There are n=5 fraction bits.

Below, you are given some bit patterns in Format A, and your task is to convert them to the closest value in Format B. If necessary, you round towards +infinity. In addition, give the values of numbers given by the Format A and Format B bit patterns. Give these as whole numbers (e.g., 17) or as fractions (e.g., 17/64 or 17/2). Format A Format B

Format A Format B Bits Value Bits Value 0111 001 0 10110 011 1 00111 010 0 00000 111 1 11100 000 0 10111 100 -9/8 011 00100 -9/8