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Practical Electronics/Binary

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Binary Number

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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

10001
20010
30011
40100
50101
60110
70111
81000
91001

Binary Coding

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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