Please show all your work including the math at each step.

5. [15] Convert the following hex values to decimal assuming that they are encoded as IEEE 754 single-precision floating-point numbers: a. (5) 080000000 b. (5) 0x3FE00000 c. (5) 0xx3140000 Write your answers in your solutions document. Show your work. 6. [15] Convert the following decimal numbers to hex encoded as IEEE 754 single-precision floating-point numbers. Write your answers in your solutions document. a. (5) 1.0 b. (5) 16.5 c. (5) 314.25