Digital Electronics/Mathematic and Logic Operations/Digital Encoder

Digital Encoder

Digital Encoder is a Digital Device that use binary number of certain bits to reprepresent information .

Examples

Example 1

Using two bit binary number we have 4 2 bits binary numbers

00

01

10

11

Let

00 --- 0

01 --- 1

10 --- 2

11 --- 3

Then decimal number from 0 to 3 can be coded as 2 bit binary number .

Example 2

Similarly, with 4 bit binary number can be used to code decimal numbers from 0 to 15 as shown below

0000 --- 0

0001 --- 1

0010 --- 2

0011 --- 3

0100 --- 4

0101 --- 5

0110 --- 6

0111 --- 7

1000 --- 8

1001 --- 9

1010 --- 10

1011 --- 11

1100 --- 12

1101 --- 13

1110 --- 14

1111 --- 15

Binary Coding

4 bit binary coded decimal

4 bit binary coded decimal (BCD) is a digital device that use 4 bit binary numbers to represent decimal number from 0 to 15

7 bit binary coded decimal

7 bit binary coded decimal (ASCII) is a digital device that use 7 bit binary numbers to represent decimal number from 0 to 9 alphabets a to z, A to Z