Adding fixed point Expressions
Here
is another number: 00010100.
This expression represents
decimal 1.25.
Here is the familiar binary addition algorithm
performed with the two bit patterns, and the usual decimal
addition performed with their decimal equivalent.
| fixed point | | as decimal |
01101001 | | 6.5625 |
00010100 | | 1.2500 |
| |
|
01111101 | | 7.8125 |
QUESTION 8:
Of course, the question is, does the sum of the fixed point expressions
(01111101) represent
the sum of the decimal expressions (7.8125)?
| Power of 2 |
3 | 2 | 1 |
0 | . | -1 | -2 | -3 | -4 |
|---|
| |
8 | 4 | 2 |
1 | . | 0.5 | 0.25 | 0.125 | 0.0625 |
|---|
| Include? |
0 | 1 | 1 |
1 | . | 1 | 1 | 0 | 1 |
|---|
You can satisfy your burning curiosity by adding up the included decimals
in the table.
