Binary Notation

Binary notation

Introduction

Binary notation is another base to represent numbers, like Hexadecimal Notation.

Representation

Binary only has two digits, 0 and 1. Each position is a power of two. 101101 = 1*1 + 0*2 + 1*4 + 1*8 + 0*16 + 1*32 = 45 in base 10

It is also the base computers use because of the fact that it can be represented as on or off - Digitally. However, it is difficult for humans to decode long strings of 1's and 0's, so it is often represented in Hexadeciaml (or Hex for short) as this is a lot shorter and is easy to convert between binary and hex. You just take each nibble and convert it indvidually. With practice you can be very quick doing this:

Conversion

Binary	Hex	Base 10
0000	0	0
0001	1	1
0010	2	2
0011	3	3
0100	4	4
0101	5	5
0110	6	6
0111	7	7
1000	8	8
1001	9	9
1010	A	10
1011	B	11
1100	C	12
1101	D	13
1110	E	14
1111	F	15

See Also

Bases

• Hexadecimal Notation