Assume we are using the simple model for floating-point representation as given in this book (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number).

Show how the computer would represent the numbers 0.47, 0.53, 25.47 using this floating-point format.

What is the absolute and relative errors in computing 0.47+0.53 and 25.47+0.53 (add the number using the floating-point number addition algorithm).

Could you show your work?