# 1
Binary Numbers!!
| Decimal |
8s |
4s |
2s |
1s |
Binary |
| 0 |
0 |
0 |
0 |
0 |
02 |
| 1 |
0 |
0 |
0 |
1 |
12 |
| 2 |
0 |
0 |
1 |
0 |
102 |
| 3 |
0 |
0 |
1 |
1 |
112 |
| 4 |
0 |
1 |
0 |
0 |
1002 |
| 5 |
0 |
1 |
0 |
1 |
1012 |
| 6 |
0 |
1 |
1 |
0 |
1102 |
| 7 |
0 |
1 |
1 |
1 |
1112 |
| 8 |
1 |
0 |
0 |
0 |
10002 |
| 9 |
1 |
0 |
0 |
1 |
10012 |
| 10 |
1 |
0 |
1 |
0 |
10102 |
| 11 |
1 |
0 |
1 |
1 |
10112 |
| 12 |
1 |
1 |
0 |
0 |
11002 |
| 13 |
1 |
1 |
0 |
1 |
11012 |
| 14 |
1 |
1 |
1 |
0 |
11102 |
| 15 |
1 |
1 |
1 |
1 |
11112 |
# 2 (All Addition)
| 10112 |
1012 |
101102 |
10110112 |
| 1102 |
101102 |
101102 |
11100112 |
| 100012 |
100112 |
1010102 |
10110012 |
# 3 (Explanation)
To add binary numbers, there are a few rules. Well, to start off, it is
necessary to know how binary numbers work. Go here for an explanation.
Next, you must understand the rules. First, if there is a one on top
of a zero, you can bring the one down. If there is a zero on top of
another zero, then you end up with a zero on the bottom. Last, if there
are two ones on top of each other, then you can bring a zero down and
bring a one over to the next group to the left.