Problem:

An IEEE standard 32-bit floating point number has the formatN= -1SX 1.FX 2E~127, where Sis the sign bit, Fis the fractional mantissa, and E the biased exponent.

Required:

Question 1- Convert the decimal number 1000.708 into the IEEE format for floating point numbers.

Question 2- Convert the decimal number 100.125 into the IEEE format for floating point numbers.

Question 3- Describe the steps that take place when two IEEE floating point numbers are added together. You should start with the two packed floating point numbers and end with the packed sum.

Question 4- Perform the subtraction of 1000.708 - 100.25 using the two IEEE-format binary floating point numbers you obtained for 1000.708 and 100.25 in part (a) of this question. You should begin the calculation with the packed floating-point representations of these numbers and end with the packed result.

Please describe all the work done by you.