Power of 2 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Decimal | 1024 | 512 | 256 | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1
Include? |  |  |  | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0

### A good answer might be:

Adding up the "turned on" powers of two gives: `128 + 32 + 8 + 2 = 17010`

# Favorite Binary Numbers

Here is a list of positive integers represented in both 8-bit binary and decimal. You will encounter these patterns frequently. For now, only positive integers are represented. Negative integers come later.

Binary | Decimal | Notes
--- | --- | ---
0000 0000 | 0 |
0000 0001 | 1 | 20 = 1 = 21 - 1
0000 0011 | 3 | 21 + 20 = 3 = 22 - 1
0000 0100 | 4 | 22
0000 0111 | 7 | 22 + 21 + 20 = 23 - 1
0000 1000 | 8 | 23
0000 1111 | 15 | 24 - 1
0001 0000 | 16 | 24
0001 1111 | 31 | 25 - 1
0010 0000 | 32 | 25
0111 1111 | ? | ?
1000 0000 | 128 | 27

Look at the table and see if you can discover a useful pattern.

### QUESTION 3:

An important number was left out of the table. What do you suppose is the decimal equivalent of 0111 1111 ?