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.

| 1303220110320 quaternary | 6ipp4c hexavigesimal | amjk2m tetravigesimal | e7q4e base29 | 12212102011221100 ternary | 72828603 nonary | 1330020210132 quaternary | 4514874 tetradecimal | 553f141 hexadecimal | 1obvmk base35 | 3n1wk base34 | 87801a5 pentadecimal | 101110011001011111000011110 binary | 110341011032 quintal | 11323202110331 quaternary | 73ab56 octodecimal | 59074a5 duodecimal | 21dnnc base34 | 11222210001000201 ternary | 11110100110000000010011 binary | 634731 base21 | 2a26a35 base17 | f1600l base22 | 1upgqe base35 | 95nja8 pentavigesimal | 1nnnbd duotrigesimal | hogdf base35 | 1277413 base21 | 65668699 decimal | 7bhb4b base21 | 7bj6n tetravigesimal | 3ff0be2 base17 | 221160243 octal | mttt6 duotrigesimal | 141140134413 quintal | 1075924a tridecimal | 1601360314 septenary | 38449983 undecimal | 784810 vigesimal | 1a2ken septemvigesimal | 5530442411 senary | cnf25 base29 | vt5tf duotrigesimal | 200222110101021 ternary | znfsq hexatrigesimal | 3d507a0 hexadecimal | d69jd8 base23 | fk42h6 base22 | 46971876 decimal | 1332302011330 quaternary |

| 34634de Pentadecimal to Hexatrigesimal | 5140211501 Senary to Undecimal | 2hod0d Pentavigesimal to Base19 | 2tv4fb Duotrigesimal to Tetravigesimal | 77a3i1 Tetravigesimal to Septemvigesimal | qg5vq Hexatrigesimal to Base29 | 11bdn0 Base35 to Pentadecimal | ej52c7 Base23 to Binary | 178304272 Nonary to Trigesimal | bcnd0 Pentavigesimal to Duotrigesimal | 2122000002212022 Ternary to Undecimal | 71g09l Base22 to Pentadecimal | 26kf67 Base31 to Quaternary | hag8o Trigesimal to Base34 | 4afcc3c Hexadecimal to Base21 | 1pidac Base31 to Vigesimal | 29e065b Pentadecimal to Base19 | 90d0162 Tetradecimal to Quintal | 1461562203 Septenary to Duodecimal | 115714244 Nonary to Base35 | 7djia5 Base22 to Binary | 18w6f7 Base35 to Base22 | 12cj57 Base22 to Base17 | ln5ih Septemvigesimal to Undecimal | 15a4he Base19 to Pentavigesimal | 11002101200210001 Ternary to Vigesimal | 24c4b02 Tridecimal to Base34 | 11100111111011010110110100 Binary to Undecimal | 5p2kj3 Hexavigesimal to Base17 | 1780785 Nonary to Pentavigesimal | f5ef1j Base23 to Decimal | 51360532 Undecimal to Octal | c34a226 Tridecimal to Base29 | 2038f5 Base17 to Base19 | f9e507 Octodecimal to Binary | 11301231120223 Quaternary to Ternary | 276327125 Octal to Pentadecimal | 22i9gb Base29 to Hexadecimal | 19f2d71 Base19 to Senary | 69fe58 Base19 to Tridecimal | 27605e9 Octodecimal to Base35 | 35e0b5 Octodecimal to Nonary | 1202121200313 Quaternary to Vigesimal | 1441204210 Quintal to Hexatrigesimal | 4bb77e9 Pentadecimal to Base17 | 76b3ad9 Tetradecimal to Base19 | 1qrkbf Duotrigesimal to Hexavigesimal | 370769 Duodecimal to Octodecimal | 10100000110000011011100001 Binary to Base35 | 1224221606 Septenary to Octodecimal |

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