Floating number in binary format
1. In one picture
2. How to calculate its decimal value
exponent(0111 1100) := 27 - 4 - (2(8-1) - 1) = -3 fraction :=1.012 = 1.2510
here, m = 1
. because the number above is normalized. follow to the link
below to see the detail why m=1
.
So the result is: 1.25 * (2-3) = 0.15625
Found interesting when I was studying the IEEE-754 Standard, and of course I can not understand several concepts.