More Practice with Floating Point

For this assignment you will work through the process of converting real decimal numbers to IEEE 754 single precision floating point numbers. Work the conversion out on paper, showing your work. Give the answer both in binary and in hexadecimal, and state whether or not the number can be represented precisely using the IEEE floating point representation.

You can use this site to check your work, but for credit you need to show the work you went through to get there manually:

Problem 1: Convert the decimal number -176.265625 to single precision floating point format. Can this number be represented exactly?

Problem 2: Convert the decimal number 4,294,984,712 to single precision floating point format. Can this number be represented exactly?