Practical Electronics/Binary

Binary Number

Binary numbers are numbers in base two which consists of two digit 0 and 1 . A series of 0's and 1's can be formed to represent info

For example number from 0 to 9 can be expressed as binary numbers of four bit as shown

1	0001
2	0010
3	0011
4	0100
5	0101
6	0110
7	0111
8	1000
9	1001

Binary Coding

Since in binary number system there are only two digits 0 and 1 called a Bit . So 1-bit binary number refers to number of 1 digit either 0 or 1 . 2-bit binary number refers to number of 2 digit namely 00, 01, 10, 11 and there are 4 of such numbers which equivalent to 2². Hence, there are 2ⁿ binary numbers of n bits

The process of using binary numbers to represent info is called Binary Coding

For example with 1-bit binary number 0 and 1 can be used to represent number 0 and 1 in our system .

With 2-bit binary number can be used to represent number 0 to 3 in our system as follow

00 represents 0

01 represents 1

10 represents 2

11 represents 3

With digit 0 and 1 we have three bit binary numbers of 000, 001, 010, 011, 100, 101, 110, 111 which equivalent to 0, 1, 2, 3, 4, 5, 6, 7