Binary coding schemes

1. The alphabetic data, alphanumeric data, numeric data, symbols, sound data and video data, are
represented as combination of bits in the computer.
2. The bits are grouped in a fixed size, such as 8 bits, 6 bits or 4 bits. A code is made by combining bits of definite size.
3. Binary coding scheme are representing the data such as alphabets , digit 0-9, and symbols in a standard code.
4. A combinations of a bits are represent a unique symbols in a data.
5. The standard code enables any programmer use the same combination of bits to represent a symbol in the data.

These most commonly used schemes are :-
1. EBCDIC ( Extended Binary Coded Decimal Interchange code).
2. ASCII ( American Standard Code for Information Interchange).
3. Unicode.

Extended Binary Coded Decimal Interchange code


1. EBCDIC uses 8 bits ( 4 bits for zone , 4 bits for digit ) to represent a symbol in the data.
2. EBCDIC allows 2^8= 256 combinations of bits.
3. 256 unique symbols are represented using EBCDIC code. It represents a decimal no. ( 0-9), small alphabets ( a-z), capital alphabets ( A-Z), special characters and control characters ( printable and non-printable).

American Standard Code for Information Interchange

Binary coding schemes

1. The alphabetic data, alphanumeric data, numeric data, symbols, sound data and video data, are
represented as combination of bits in the computer.
2. The bits are grouped in a fixed size, such as 8 bits, 6 bits or 4 bits. a code is made by combining bits of definite size.
3. Binary coding scheme are representing the data such as alphabets , digit 0-9, and symbols in a standard code.
4. A combinations of a bits are represent a unique symbols in a data.

Binary coding schemes

1. The alphabetic data, alphanumeric data, numeric data, symbols, sound data and video data, are
represented as combination of bits in the computer.
2. The bits are grouped in a fixed size, such as 8 bits, 6 bits or 4 bits. a code is made by combining bits of definite size.
3. Binary coding scheme are representing the data such as alphabets , digit 0-9, and symbols in a standard code.
4. A combinations of a bits are represent a unique symbols in a data.

Binary coding scheme

1. The alphabetic data, alphanumeric data, numeric data, symbols, sound data and video data, are
represented as combination of bits in the computer.
2. The bits are grouped in a fixed size, such as 8 bits, 6 bits or 4 bits. a code is made by combining bits of definite size.
3. Binary coding scheme are representing the data such as alphabets , digit 0-9, and symbols in a standard code.
4. A combinations of a bits are represent a unique symbols in a data.

Conversions of Number system

Convert decimal to binary number system...


For find a binary no. we divide a decimal no. by 2 while there quotient become zero and arrange there remainder last to first.

Multiply by 2	quotient	remainder
2	250
2	125	0
2	62	1
2	31	0
2	15	1
2	7	1
2	3	1
2	1	1
	0	1
		Ans.  11111010

Convert decimal to octal number system...

For find a octal no. we divide a decimal no. by 8 while there quotient become zero and arrange there 

remainder last to first. 

Multiply by 8	quotient	remainder
8	250
8	31	2
8	3	7
	0	3
		Ans.  372

Convert decimal to hexadecimal number system...

For find a hexadecimal no. we divide a decimal no. by 16 while there quotient become zero and arrange there remainder last to first. 

Multiply by 16	quotient	Remainder
16	250
16	15	A
	0	F
		Ans.  FA

Convert binary to decimal number system...


In this we multiply last to first digit by 2 because it is binary no.
Let take example->  11111010
ans.   = 0*2^0 + 1*2^1 + 0*2^2 + 1*2^3 + 1*2^4 + 1*2^4 + 1*2^5 + 1*2^6 + 1*2^7
         = 0 + 2 + 0 + 8 + 16 + 32 + 64 + 128
         = 250


Convert octal to decimal number system...


In this we multiply last to first digit by 8 because it is octal no.
e.g.=> 372
ans.  =  2*8^0 + 7*8^1 + 3*8^2
        =  0 + 56 + 192
        =  250


Convert hexadecimal to decimal number system...


In this we multiply last to first digit by 16 because it is hexadecimal no.
e.g.=>  FA
ans.  =  A*16^0 + F*16^1
        =  10 + 16*15
        =  250


Convert hexadecimal to binary number system...


e.g.=> FA                                   [ F= 1111 in binary , A= 1010 ]      
 ans.  =  1111   1010


Convert binary to hexadecimal number system...


e.g.=>  111110101010
 ans.  = 1111  1010  1010       Note :->[ we divide it into threef parts of 4 digit category]
         =  F        A        A        [ we know F= 1111, A= 1010 ]
         = FAA



Convert octal to binary number system...


e.g.=>  2567            Note :->[ we divide it into four parts of 3 digit category]
 ans.   =  010  101  110  111
          =  010101110111



Convert binary to octal number system...


e.g.=>  010101110111
 ans.   =  010  101  110  111      Note :->[ we divide it into four parts of 3 digit category]
          =  2      5      6      7
          =  2567



Convert hexadecimal to octal number system...


Step1=> convert hexadecimal to binary no. system.
Step2=> convert binary to octal no. system.

Convert octal to hexadecimal number system...

Step1=> convert octal to binary no. system.

Step2=> convert binary to octal no. system.