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.

| 684cd35 tetradecimal | 6oqana septemvigesimal | 133104142313 quintal | 2de1e06 hexadecimal | 177253650 nonary | 59d9583 hexadecimal | 1dojc septemvigesimal | 10231243055 senary | 31d65af hexadecimal | 1lmh27 octovigesimal | 56771863 nonary | 3ed5781 hexadecimal | 7fbhm hexatrigesimal | 38941k base22 | 2200210222012210 ternary | 1cmbol base31 | 1nhcii duotrigesimal | 87a8bb4 pentadecimal | 4e72378 hexadecimal | 2bd2gbb base17 | dda59c base23 | 6gilfa base22 | 23ouio duotrigesimal | hy1xo hexatrigesimal | 74933836 decimal | 723f71 base23 | 1011010100000010010101 binary | 112144551 senary | 1465625241 septenary | 120162472 octal | 100021011202 quaternary | ela7fm base23 | 42jj1 base23 | 3t845 base34 | 1aadis base31 | 3ml37c hexavigesimal | 29359692 decimal | h2tel trigesimal | 100110011010000101000010000 binary | gc8b91 base17 | 138i0i base21 | 4mmie5 hexavigesimal | 10310313012123 quaternary | 3dgl87 base23 | 1d272a1 base19 | 26b9fgc base17 | 61lc8 base31 | e9139g vigesimal | 2303021002001 quaternary | 1h7f55f base19 |

| 187170717 Nonary to Tetradecimal | 468e7c Base19 to Octal | 9he1a9 Base19 to Hexatrigesimal | 3rgeq7 Octovigesimal to Vigesimal | 30b1a63 Base17 to Quintal | 81054586 Decimal to Hexavigesimal | 6nikf Octovigesimal to Base19 | a043a30 Tridecimal to Tetradecimal | 1jfctj Duotrigesimal to Trigesimal | 302067465 Octal to Vigesimal | 2520aa11 Duodecimal to Ternary | 1989253 Decimal to Duodecimal | 11r1p3 Base35 to Octovigesimal | 36ni5o Base29 to Binary | 1gbe10 Trigesimal to Octovigesimal | 256b9301 Duodecimal to Quintal | onirc Base31 to Base35 | 29ce42 Base17 to Duodecimal | nv48y Base35 to Base19 | 340m2k Base31 to Trigesimal | 2pt2mi Duotrigesimal to Tetradecimal | 19dned Base33 to Base22 | 3661968 Base17 to Base21 | 104110141403 Quintal to Tridecimal | 1cf5189 Octodecimal to Senary | 4909758 Tetradecimal to Base17 | 8fk2j0 Base22 to Undecimal | 56k2ne Tetravigesimal to Septemvigesimal | 17nhtj Hexatrigesimal to Hexavigesimal | mmgfi Duotrigesimal to Vigesimal | 58p6o Trigesimal to Pentadecimal | 8202b44 Tridecimal to Undecimal | 2263520663 Septenary to Septemvigesimal | 3hg37g Septemvigesimal to Base31 | 24472a42 Duodecimal to Tridecimal | ca1djh Tetravigesimal to Pentavigesimal | 42030001414 Quintal to Undecimal | 127j045 Vigesimal to Base33 | 45025008 Decimal to Base33 | 5da915 Base19 to Base29 | 10d8697 Vigesimal to Base23 | sawpi Base33 to Quintal | 5f0266 Hexadecimal to Trigesimal | 465a1834 Undecimal to Quintal | 109a2aa7 Undecimal to Octovigesimal | 7d6988 Hexavigesimal to Base31 | 1006cac Hexadecimal to Pentadecimal | 74iqg Duotrigesimal to Base23 | 101110010100000100110110001 Binary to Senary | 7hk7ai Pentavigesimal to Tetravigesimal |

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