Binary coding system:)

The arithmetic operations - addition, subtraction, 

multiplication and division, performed on the binary numbers 

is called binary arithmetic

 

two most popular binary coding system are

ASCII-as key

EBCDIC- eb-see-dick

 

unicode is a family of 16-bit codes that support both ASCII and EBCDIC.

 

 The binary numeral system
The binary numeral system, or base-2 number system, represents numeric values using two symbols, 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2. Owing to its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by all modern computers

 

ASCII

American Standard Code for Information Interchange

widely used for microcomputers

EBCDIC

Extended Binary Coded Decimal Interchange Code

primarly used for large computers

 Unicode

used for international language like chinese and Japanese.

 

  Fraction in binary

Fraction	Decimal	Binary	Fractional Approx.
1/1	1 or 0.999...	1 or 0.111...	1/1 or 1/2+1/4+1/8...
1/2	0.5 or 0.4999...	0.1 or 0.0111...	1/2 or 1/4+1/8+1/16...
1/3	0.333...	0.010101...	1/4+1/16+1/64...
1/4	0.25 or 0.24999...	0.01 or 0.00111...	1/4 or 1/8+1/16+1/32...
1/5	0.2 or 0.1999...	0.00110011...	1/8+1/16+1/128...
1/6	0.1666...	0.0010101...	1/8+1/32+1/128...
1/7	0.142857142857...	0.001001...	1/8+1/64+1/512...
1/8	0.125 or 0.124999...	0.001 or 0.000111...	1/8 or 1/16+1/32+1/64...
1/9	0.111...	0.000111000111...	1/16+1/32+1/64...
1/10	0.1 or 0.0999...	0.000110011...	1/16+1/32+1/256...
1/11	0.090909...	0.00010111010001011101...	1/16+1/64+1/128...
1/12	0.08333...	0.00010101...	1/16+1/64+1/256...
1/13	0.076923076923...	0.000100111011000100111011...	1/16+1/128+1/256...
1/14	0.0714285714285...	0.0001001001...	1/16+1/128+1/1024...
1/15	0.0666...	0.00010001...	1/16+1/256...
1/16	0.0625 or 0.0624999...	0.0001 or 0.0000111...	1/16 or 1/32+1/64+1/128..