In Computer Architecture we have 4 Types of Number System and their Conversions . Computer does not understand English or any language .the only language understand by Computers are Binary Numbers or Binary math’s.
In Binary we have only ZERO(0) and One’s (1) . Binary Numbers are used as primary language for Computer’s because binary is easy to store and manipulate . In English we have 26 Alphabets and 0-9 in Numbers . Every Alphabet of English has different Binary Representation
[su_row][su_column size=”1/4″ center=”no”]ALPHABETS(UPPER)
| A | 01000001 |
| B | 01000010 |
| C | 01000011 |
| D | 01000100 |
| E | 01000101 |
| F | 01000110 |
| G | 01000111 |
| H | 01001000 |
| I | 01001001 |
| J | 01001010 |
| K | 01001011 |
| L | 01001100 |
| M | 01001101 |
| N | 01001110 |
| O | 01001111 |
| P | 01010000 |
| Q | 01010001 |
| R | 01010010 |
| S | 01010011 |
| T | 01010100 |
| U | 01010101 |
| V | 01010110 |
| W | 01010111 |
| X | 01011000 |
| Y | 01011001 |
| Z | 01011010 |
[/su_column]
[su_column size=”1/4″ center=”no”]ALPHABETS(LOWER)
| a | 01100001 |
| b | 01100010 |
| c | 01100011 |
| d | 01100100 |
| e | 01100101 |
| f | 01100110 |
| g | 01100111 |
| h | 01101000 |
| i | 01101001 |
| j | 01101010 |
| k | 01101011 |
| l | 01101100 |
| m | 01101101 |
| n | 01101110 |
| o | 01101111 |
| p | 01110000 |
| q | 01110001 |
| r | 01110010 |
| s | 01110011 |
| t | 01110100 |
| u | 01110101 |
| v | 01110110 |
| w | 01110111 |
| x | 01111000 |
| y | 01111001 |
| z | 01111010 |
[/su_column]
[su_column size=”1/4″ center=”no”]DIGITS
| 0 | 0 |
| 1 | 1 |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| 8 | 1000 |
| 9 | 1001 |
| 10 | 1010 |
[/su_column]
[su_column size=”1/4″ center=”no”]SPECIAL
| ! | chr(33) | 00100001 |
| “ | chr(34) | 00100010 |
| # | chr(35) | 00100011 |
| $ | chr(36) | 00100100 |
| % | chr(37) | 00100101 |
| & | chr(38) | 00100110 |
| ‘ | chr(39) | 00100111 |
| ( | chr(40) | 00101000 |
| ) | chr(41) | 00101001 |
| * | chr(42) | 00101010 |
| + | chr(43) | 00101011 |
| , | chr(44) | 00101100 |
| – | chr(45) | 00101101 |
| . | chr(46) | 00101110 |
| / | chr(47) | 00101111 |
| : | chr(58) | 00111010 |
| ; | chr(59) | 00111011 |
| < | chr(60) | 00111100 |
| = | chr(61) | 00111101 |
| > | chr(62) | 00111110 |
| ? | chr(63) | 00111111 |
| @ | chr(64) | |
| [ | chr(91) | 01011011 |
| chr(92) | 01011100 | |
| ] | chr(93) | 01011101 |
| ^ | chr(94) | 01011110 |
| _ | chr(95) | 01011111 |
| ` | chr(96) | 01100000 |
[/su_column]
[/su_row]
Types Of Number System And Conversions
- Binary Number System
- Decimal Number System
- Octal Number System
- Hexadecimal Number System
Binary Number System
Binary Number System is Most popular and is a Base 2 Number System . The basic Number System of Computer is Binary Number System.In term of Electronic circuit or current it can be operate as a On Off Switch
[su_table responsive=”yes”]
| ON | 1 |
| OFF | 0 |
[/su_table]
Binary Number : (1001)2
[su_table responsive=”yes”]
10012 | 23+22+21+20 |
10012 | 8+0+0+1 |
10012 | 9 |
[/su_table]
Decimal Number System
Decimal Number System is a Base 10 Number System.it use 10 digits 0-9.reading from left it represents units,ones,tens,hundred,thousand and so on.
[su_table responsive=”yes”]
481910 | 104+103+102+101 |
481910 | 4000+800+10+9 |
Final Ans | 4819 |
[/su_table]
Octal Number System
Octal Number System is Base 8 Number System. Octal means 8 .Octal Number System is Most Commonly Used By Computers and its easy to remember in term of computer engineers. it uses 8 digits 0-7.
[su_table responsive=”yes”]
47268 | 83+82+81+80 |
47268 | 4×512+7×16+2×8+6×0 |
Final Ans | 2182 |
[/su_table]
Hexadecimal Number System
Hexadecimal Number system is more Convenient for Computer Engineers as it’s a base 16 Number System and Uses 10 digits and 6 letters
1,2,3,4,5,6,7,8,9,A,B,C,D,E,F
Where is A=10 ,B=11 ………………..F=15
[su_table responsive=”yes”]
45D16 | 162+161+160 |
45D16 | 4×256+5×16+13X0 |
Final Ans | 1117 |
[/su_table]
Number Conversions
[su_row][su_column size=”1/4″ center=”no” class=””]Binary Conversions
- Binary To Decimal
- Binary To Octal
- Binary To HexaDecimal
[/su_column]
[su_column size=”1/4″ center=”no” class=””]Decimal Conversions
- Decimal To Binary
- Decimal To Octal
- Decimal To HexaDecimal
[/su_column]
[su_column size=”1/4″ center=”no” class=””]Octal Conversions
- Octal To Binary
- Octal To Decimal
- Octal To HexaDecimal
[/su_column]
[su_column size=”1/4″ center=”no” class=””]HexaDecimal Conversions
- HexaDecimal To Binary
- HexaDecimal To Octal
- HexaDecimal To Decimal
[/su_column]
[/su_row]
Finally we done all the Conversions in Number System .
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