Consider the following 9-bit floating-point representation based on the IEEE floating-point format.

Format

There is 1 sign bit.

There are k = 5 exponent bits. The exponent bias is 15.

(Normalized value => E= e-Bias, Denormalized value => E= 1-Bias)

There are n = 3 fraction bits.

In the following table, you are given some bit patterns in format A, and your task is to convert them to the closest value in format B. If rounding is necessary you should round toward +.

Format Fraction Exponent 27 Value: (-1)*x2" xM (s=1 if negative, otherwise s-0) 1 01111 00115 0 10110 011 1 00111 010 0 00000 111 1 11100 000 0 10111 100