This is website where you can convert any number from one numeral system to another. For example you can convert Binary to Decimal or Binary to Hexadecimal or Hexadecimal to Binary. In fact you can convert any Numeral system to any other Numeral system. We accept more that 30 base systems. Our website is easy to use. Just write number choose numeral system and our website will convert your number to more that 30 other numeral systems. For example if you put binary number it will be converted to Decimal, Hexadecimal, Octal and all others... Thank you for using our website.

Binary numbers are easy to calculate and perform numerical computation. A computer understands binary numbers which are in form of bits of 0 and 1 and performs all the arithmetic and logical calculations using these binary digits. We though decipher numbers in decimal format a computer understands binary therefore a computer converts decimal numbers to binary and then perform the calculations and then again the binary results are converted to decimal for the user to understand and interpret.

There are various methods through which we can convert a binary number to decimal yet the most simple format or method is by placing the decimal numbers in a table which corresponds to the binary equivalent. To elaborate a table is drawn from left to right in the form of power of digit 2 starting with 1. So the right most column of the table has the digit 1 and then to its left the digit 2 then follows 4, 8, 16, 32, and 64 and so on and so forth.

Just beneath this decimal number table we then place the binary numbers. The decimal number which corresponds to 1 is written separately and the decimal number which corresponds to 0 is dropped. Then the total of all the decimal numbers is made to finally find the decimal number for the binary digit.

*Let us further explain this with an example.*

Say we have to convert a binary digit 10001110 into decimal.

For this conversion first we would place all the binary digits into a table.

128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |

1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 |

So here we observe that first we begin from the extreme right of the binary digit 10001110 and we take 0 and place it to the extreme right of the table corresponding to 1. Then we take the next binary digit 1 and place it corresponding to 2, and then we again take 1 and place it beneath 4 and continue this sequence till we place the beginning digit of the binary and place it corresponding to 128.

Now the next step would be to consider all those decimal numbers which correspond to 1 of the binary digit series.

In this example the decimal numbers which correspond to binary digits are;

128, 8, 4 and 2.

Rest all the numbers correspond to binary 0 so we do not consider them.

Now to find the binary equivalent of the binary digit 10001110, we would finally add the four decimal numbers we selected from the conversion table.

128+8+4+2 = 142

So it can be finally deduced that the binary equivalent of 10001110 will be 142.

Thus it is very clear from this example that to convert a binary digit into a decimal number format is very simple and convenient. All the user has to do is to place the binary number into the conversion table and ascertain the value for each binary digit. The decimal number which corresponds to 1 is selected and the decimal number which corresponds to 0 is dropped.

The numeric system that we use in general is known as the Decimal System. The decimal system uses 10 as its base. The number 10 is used as the base, since any given number is a combination of digits ranging from 0 to 9 (10 digits). The value of the digits is assigned as per their relative position in the number. This place value increases in the multiples of 10 as we go from right hand side towards the left. Hence, every digit can be represented as a multiple of 10 with an appropriate power. As a general rule, any number with the power of 0 is always 1. For example, the number 5269 can be represented as:

(5×10^{3}) + (2×10^{2}) + (6×10^{1}) + (9×10^{0}) = 5269

As we can see in the above example, each digit is multiplied by 10 and assigned an appropriate power according to its position in the number which increases as we go from right towards left.

As the base is 10 for Decimal Numbers, similarly the base is 2 for the Binary system. The Binary system uses only ‘1′ or ‘0′ to represent all numbers. Since we use only ‘1′ and ‘0′ (two digits), 2 acts as the base for binary numbers. The concept of place value in the binary system is very similar to that of Decimal system. The place value of digits in a number increases as we go from right towards left. The value of each digit is twice that of its previous digit but is represented only by ‘1′ or ‘0′.

Let us consider the following illustration:

Decimal Digit Value |
256 | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |

Binary Digit Value |
1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 |

We don’t need to consider the values represented by 0. We will only add up the values represented by 1. So, the equation is:

256 + 64 + 8 + 1 = 329_{10}

From the above illustration, we understand that the number 101001001_{2} (binary number) is equivalent to 329_{10 }in the decimal system. When binary number system is used in computers or the digital system, ‘1′ represents ‘ON’ and ‘0′ represents ‘OFF’.

Let us consider the following example where the decimal number 240 is converted into its binary number equivalent.

Number | 240 | Whenever a number is Divided by “2″, a result and a remainder are derived. MSB represents the most significant bit and LSB represents least significant bit. The binary number is derived going forward from MSB towards LSB. | |||

divide by 2 | |||||

result | 120 | remainder | 0 (LSB) |
||

divide by 2 | |||||

result | 60 | remainder | 0 |
||

divide by 2 | |||||

result | 30 | remainder | 0 |
||

divide by 2 | |||||

result | 15 | remainder | 0 |
||

divide by 2 | |||||

result | 7 | remainder | 1 |
||

divide by 2 | |||||

result | 3 | remainder | 1 |
||

divide by 2 | |||||

result | 1 | remainder | 1 |
||

divide by 2 | |||||

result | 0 | remainder | 1 (MSB) |

So, when we move from MSB towards LSB i.e. from bottom to upwards, the binary number formed is 11110000. The binary number 11110000_{2} is equivalent to the 240_{10} decimal number.

| 5580bdc hexadecimal | ch58l octovigesimal | 30314415 octal | 1bce188 base19 | 24b2a551 duodecimal | 4kbdla pentavigesimal | 381lf4 tetravigesimal | g7b7gd vigesimal | 10o0ad base33 | a939805 tetradecimal | e46b1b vigesimal | 3032223333231 quaternary | g630b4 vigesimal | 8c1ee3 base19 | 303212130122 quaternary | 16e53c1 octodecimal | 1121102001221220 ternary | 52agf2 base21 | 14a577a duodecimal | 14ms3j base35 | 1lfdh4 base33 | 3031303222103 quaternary | 1gupqd base33 | 10310031011231 quaternary | o8vmi hexatrigesimal | 805h42 base23 | 225j3d duotrigesimal | 2103021313131 quaternary | 124127501 nonary | 5a75g7 base22 | kbifa pentavigesimal | 44a844 octovigesimal | 9b15115 duodecimal | 1ba3am base34 | 15662cc7 tridecimal | 50882522 nonary | 863j11 vigesimal | 25jpie base29 | 2gqgha duotrigesimal | 43aa1745 undecimal | 86908876 decimal | 17a6cc4 tetradecimal | a7d6e2 base21 | 1c8a4e3 base19 | 6snsw base35 | 3321303132312 quaternary | 465271666 octal | 6792ad2 tetradecimal | 30014234213 quintal | 42402432110 quintal |

| 6335845 Duodecimal to Hexavigesimal | hg81dj Base21 to Octodecimal | 10d77f0 Hexadecimal to Tridecimal | 2260a359 Undecimal to Base22 | 3jfckf Tetravigesimal to Hexavigesimal | 11022300020213 Quaternary to Octal | 11111111211110122 Ternary to Duodecimal | 5oeo01 Hexavigesimal to Octodecimal | 3011112123212 Quaternary to Hexatrigesimal | 8422cd5 Tetradecimal to Quaternary | 2413ji Vigesimal to Tetradecimal | 39a36316 Undecimal to Base34 | g9222f Base17 to Tetradecimal | 1l263s Duotrigesimal to Tetravigesimal | 62552415 Octal to Undecimal | 12202111101022012 Ternary to Tridecimal | 4o5n3 Hexavigesimal to Tetradecimal | 1e9dead Hexadecimal to Ternary | 1q039l Base34 to Quintal | ikgh28 Base21 to Octodecimal | d3kc20 Base23 to Binary | 1db1ce0 Pentadecimal to Undecimal | 28j012 Base23 to Hexavigesimal | 1160342303 Septenary to Base22 | 48bb168 Duodecimal to Base29 | 4025043532 Senary to Trigesimal | 1560643052 Septenary to Vigesimal | 5be25e Octodecimal to Base34 | 900a927 Undecimal to Base31 | 1212220212112222 Ternary to Pentadecimal | 1sujhn Base33 to Hexatrigesimal | 122400023124 Quintal to Tetradecimal | 528280 Undecimal to Hexatrigesimal | 3f05qa Base29 to Senary | ncmom Base34 to Base17 | 19bc58a Tridecimal to Base21 | 11121322331220 Quaternary to Hexavigesimal | 70a0a45 Tridecimal to Base17 | 2h33fi Base23 to Base19 | 7549c8a Tetradecimal to Pentadecimal | 3101032332121 Quaternary to Base19 | 141414224401 Quintal to Octovigesimal | 3k2l9j Trigesimal to Base21 | 155451041 Senary to Octodecimal | 108133316 Nonary to Base29 | 215305412 Senary to Duotrigesimal | 139ec2g Vigesimal to Ternary | 2ou574 Duotrigesimal to Pentadecimal | 2200020220101100 Ternary to Hexatrigesimal | dfl03c Base23 to Tridecimal |

Everything you find on this website is for educational purpose. This website does not store any of your data. We don't use cookies and other stuff. We don't have database. We just want to convert numbers :) - By

Privacy Policy