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 0.24 and 0.12 in this floating-point format. Show your work including the multiplication algorithm to convert the given fractional numbers to binary.

b) What are the absolute and relative errors in computing 0.24+0.12 (i.e., add the numbers using the floating-point addition algorithm and compare with the expected result of 0.36).