*All parts please*

2. (50 points) Binary Integer Arithmetic

(a) (15 points) Given A = 1111 0011 1100 0011 1100 0000 0000 00002 and assuming A is a single

precision IEEE-754 floating point number, what decimal value does A represent? Show A in

normalized scientific notation: 1.X 2^Y.

(b) (15 points) Convert 28.410 to IEEE-754 single-precision binary.

(c) (20 points) Given X = 0100 0001 0110 1110 0000 0000 0000 00002 and

Y = 0100 0001 1011 1100 0000 0000 0000 00002 in single precision IEEE-754 floating point

numbers, perform the following operations. Show all your work and express the final answer in

single precision IEEE 754-floating point representation. 1. X+Y 2. X*Y

Hint: show each value in binary normalized scientific notation prior to performing the

arithmetic. This should make following the algorithms easier.