- #1
Maybe_Memorie
- 353
- 0
Homework Statement
Convert 80/9 to single-precision floating-point.
Homework Equations
The Attempt at a Solution
Right, I don't understand this at all but I'm trying to follow my notes, not very successfully..
80/9 is positive so the sign bit is 0.
Exponent is adjusted so the mantissa is between 1 and 2, so we get 8x(10/9)
The true exponent is 3.
Use binary long division to calculate 10/9 as a recurring binary point number.
9 = (1001)
10 = (1010)
It results with 1.00011 00011 00011 ...
Next he does a geometric series and says "The group 000111 represents 7/64".
I'm lost. Can someone please explain where he's getting 000111 and 7/64 please?
Thank you! :D