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

a) Find the representations of 0.01 in this floating-point format. Show your work including the conversion of the given numbers to binary.

b) Convert the 14-bit representation 0 10001 11111101 to decimal.

c) Add these two numbers using the floating-point addition algorithm.

d) Convert your result (the sum) back to decimal.