Binary
In mathematics and digital electronics, a binary number is a number expressed in the binary numeral system or base-2 numeral system which represents numeric values using two different symbols: typically 0 (zero) and 1 (one). The base-2 system is a positional notation with a radix of 2. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by almost all modern computers and computer-based devices. Each digit is referred to as a bit.[1]
Binary[edit]
This is one of the better videos I've seen on binary.
Binary Translation table[edit]
I find it helpful to draw this table when I must convert binary to base 10.
| 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
|---|---|---|---|---|---|---|---|
How to add two binary numbers[edit]
Adding binary is straight forward. Line up the numbers as you would if you were adding base-10 numbers.
Remember this:
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 10, so write a 0 and carry the 1 to the next column.
What you must know[edit]
You must be able to define the following terms:
What is a bit? Click the expand link --->
A bit, is the basic unit of information in computing and digital communications. A bit can have only one of two values, and may therefore be physically implemented with a two-state device. These values are most commonly represented as either a 0 or 1. The term bit is a portmanteau of binary digit.[2]
byte
binary
denary/decimal
hexadecimal
Why is this so important?[edit]
If we can represent numbers as 1 and 0, why not represent numbers as on and off? If we can represent letters as numbers (A = 65, B = 66) couldn't we also say A = 01000001 and B = 01000010?
Binary representation is the essence of how computers work.