#### Binary Numbers Exercises

Recap:

- Computers use binary numbers.
- Decimal digits have 10 possible values ranging from 0 to 9.
- Bits have only two possible values: 0 and 1.
- A binary number is composed of only 0s and 1s.

Example: 1011

Figuring out the value of binary numbers

__In decimal:__6357 = (6X10^{3}) +(3X10^{2}) + (5X10^{1}) + (7X10^{0})

In Binary, the number 1011 can be expressed as follows:

(1 * 2^{3}) + (0 * 2^{2}) + (1 * 2^{1}) + (1 * 2^{0}) = 8 + 0 + 2 + 1 = 11

__Exercises__:

1. Express the following Decimal numbers as Binary Numbers

- 45
- 7
- 112
- 22

- Express the following Binary Numbers as Decimal Numbers

- 101
- 100
- 1001
- 10