Those who read this post then definitely he/she already know decimal number system.Decimal Number System?????Don't be confused I me...
Those who read this post then definitely he/she already know decimal number system.Decimal Number System?????Don't be confused I mean 0,1,2,3,4.......9.But we are computer guys,the computer knows binary no. system like 0 and 1.So in this post I explain how no. in one no. system are convert into another no. system.
Decimal to Binary Conversion:-
Example:-(125)10=(?)2
2|125
2|62|1
2|31|0
2|15|1
2|7|1
2|3|1
2|1|0
2|0|1
=1011101(count in reverse order) is the binary of 125.
Decimal to Octal:-
Example:-(159)10=(?)8
8|159
8|19|6
8|2|3
| Number System | Base | Range/Value/numbers |
| Binary No. System | 2 | 0,1 |
| Octal No. System | 8 | 0-7 |
| Decimal No. System | 10 | 0-9 |
| Hex-decimal No. System | 16 | 0-15 |
Binary Number System:-Binary no. system consist 0 and 1.It has a base 2(also called as radix 2).
| Decimal Number | It's Binary(Hexadecimal) |
|---|---|
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
| 9 | 1001....up t0 1111(14) |
| Decimal Number | It's Binary(Octal) |
|---|---|
| 0 | 000 |
| 1 | 001 |
| 2 | 010 |
| 3 | 011 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
Decimal to Binary Conversion:-
Example:-(125)10=(?)2
2|125
2|62|1
2|31|0
2|15|1
2|7|1
2|3|1
2|1|0
2|0|1
=1011101(count in reverse order) is the binary of 125.
Decimal to Octal:-
Example:-(159)10=(?)8
8|159
8|19|6
8|2|3
8|0|2
=236
Decimal to Hexadecimal:-
| Number | Hexadecimal |
|---|---|
| 0-9 | 0-9(same) |
| 10 | A |
| 11 | B |
| 12 | C |
| 13 | D |
| 14 | E |
| 15 | F |
Example:-(159)10=(?)16
16|159
16|9|15
16|0|9
=9F where F=15
Binary to decimal:-
Example:-(111101111)2=(?)10
1 1 1 1 0 1 1 1 1
1 1 1 1 0 1 1 1 1
2^8*1 2^7*1 2^6*1 2^5*1 2^4*0 2^31 2^2*1 2^1*1 2^0*1
=495
Octal to binary:-
Example:-(54.50)8=(?)10
5 4 . 5 0
Octal to binary:-
Example:-(54.50)8=(?)10
5 4 . 5 0
5#8^1 4#8^0 5#8^-1 0#8^-2
=44.62
Hexadecimal to Decimal:-
Example:-(1E.25)16=(?)10=
1 E . 2 5
1*16^1 14*16^0 2*16^-1 5*16^-2
=69.32
Binary to Octal:-
Example:-(111110111)2=(?)8
1 1 1 1 1 0 1 1 1
-------- -------- --------
=7 =6 =7
=767
Octal to binary:-
Example:-(125)8=(?)2=
1 2 5
001 010 101
=001010101
Binary to hexadecimal:-
Example:-(1110111111010011)2=(?)16=
1110 1111 1101 0011
----- ----- ------ ------
=13 14 12 3
=EFC3
Octal to Hexadecimal:-
Example:-(65)8=(?)16=
6 5
0011 0101
=3 =5
=35
Hexadecimal to Octal:-
Example:-(1EA.E9)16=(?)8=
=(1111111010.111010010)2=
=(762.722)
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