**Addition**

Addition in all bases is similar, except that binary addition is particularly simple. Consider binary addition.

1011

+101

-------

10000

Check: 1011_{2}, 101_{2}, and 10000_{2} are 11, 5, and 16, respectively, in the decimal system.
In adding, a "CARRY" results if there are two or more 1's in a vertical column. This is due to the binary rule 1+1=10.

**Multiplication**

Consider binary multiplication.

1011

X 111

-------------

1011

1011

1011

-------------

1001101

Here is a multiplication in base 5

342

X 43

---------

2131

3023

----------

32411

Check: 342_{5}, 43_{5}, and 32411_{5} are 97, 23, and 2231, respectively, in the decimal system.

(G.R.T.)

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