**INCLUDE BINARY MATH OR WILL DOWNCOTE*

Work the following problems. Show your work and clearly indicate your answers. Your writing should be legible. Do not use a computer. You can use a calculator. You can use your hardback book as a reference. You should work independently.

Problem 1 (25 pts) Convert the number 8 to IEEE single-precision format. Give the results as eight hexadecimal digits.

Problem 2 (25 pts) Convert the IEEE single-precision floating numbers 44802000 from hex to decimal.

Problem 3 (50 pts) To add two floating-point numbers, you must adjust the exponents (by shifting the fraction) to make them the same. Then you can add the fractions and normalize the result, if need be. Add the single-precision IEEE numbers 3FB80000 and 3F100000 and express the normalized result in hexadecimal