## Guide for this category...

Binary numbers are essential to modern computing, and these units will attempt to familiarize you with reading, writing, and performing mathematical basic operations with them.

The word 'binary' can be defined as 'something with only two options'. While we have ten numbers in the decimal number system, binary works with only two, the 0 and 1. In computing, each binary digit is referred to as a 'bit', and represent true-false states; eight consecutive binary digits are a byte.

Each new digit is worth double the previous one. The diagram below shows the progress of a byte.

0 0 0 0 0 0 0 0Here are some sample numbers, with their decimal equivalents:

128 64 32 16 8 4 2 1

`00000000`

- 0`00000001`

- 1`00000111`

- 7`00100101`

- 37`00110010`

- 50`01100010`

- 100`11111111`

- 255 In this section, either write the decimal value of the binary number, or write the binary value of the decimal number. When writing in binary, include all of the eight digits of the byte.