1. Convert the following decimal numbers to 32-bit IEEE floating point:

-957.27

0.399292

2. Convert the following 32-bit IEEE floating point numbers to decimal:

1100 0101 1111 0110 1110 1100 0000 0000

0011 1101 1110 0110 1011 0010 0000 0000

3. Determine whether or not the following pairs are equivalent by constructing truth tables:

[(a'c+bc')(c'd)] and [(a'c'd+bcd)]

4. Using DeMorgans Law and Boolean algebra, convert the following expressions into simplest form:

(ik')'

(jk+l)'

5. Draw the circuit that implements each of the following equations:

X'Y+WZ

X'Y+WY+Z'

May you include steps on how to do the decimal numbers to 32-bit IEEE floating point and how to do the 32-bit IEEE floating point numbers to decimal

Thank You!