### A good answer might be:

Power of 2 | 3 | 2 | 1 | 0 | . | -2 | -3 | -4 | -5
--- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Decimal | 8 | 4 | 2 | 1 | . | 0.5 | 0.25 | 0.125 | 0.0625
Include? | 0 | 1 | 1 | 0 | . | 1 | 0 | 0 | 1

`= 4 + 2 + 0.5 +0.0625 = 6.5625`

# 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 | . | -2 | -3 | -4 | -5
--- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Decimal | 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.