For each of the following decimal numbers, calculate:
1. actual exponent in decimal
2. biased exponent in decimal
3. 32-bit IEEE floating point representation in binary without any spaces
For instance, for 25.75, |x1| is 4, |x2| is 131 and |x3| is 01000001110011100000000000000000
a. 3.75
actual exponent (base 10):
biased exponent (base 10):
32-bit fp (base 2):
b. -55 23/64
actual exponent (base 10):
biased exponent (base 10):
32-bit fp (base 2):
c. 3.1415927
actual exponent (base 10):
biased exponent (base 10):
32-bit fp (base 2):
d. 64,000
actual exponent (base 10):
biased exponent (base 10):
32-bit fp (base 2):
Note: Please truncate any extra bits and do NOT round them.