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.

| 4824296 undecimal | 48102948 undecimal | 14ieg30 vigesimal | 4ae7ac6 hexadecimal | 9a8cdf octodecimal | a031108 duodecimal | 17fi8ec base19 | 1e4ae20 base19 | d7a87g octodecimal | 1c8o4a hexavigesimal | 26ad2d hexadecimal | 361a40a pentadecimal | 4403400041 senary | 28e4c2b pentadecimal | 1qj4re base33 | 74715634 octal | 25ood0 base29 | 1313321213221 quaternary | 49246849 decimal | 122224213000 quintal | 4389ab pentavigesimal | 1021210022221222 ternary | 3031221331033 quaternary | 11010010011011000110111000 binary | 3edss7 base29 | 19di0j septemvigesimal | hq0op octovigesimal | gjc3d0 base22 | j113li base22 | 1114454260 septenary | 2o7ac2 hexavigesimal | 6086j6 tetravigesimal | 2sfr64 trigesimal | 71err base29 | 206021188 nonary | 48opm3 base29 | 233439aa duodecimal | 2023023313231 quaternary | 10195d7 tetradecimal | awguw base34 | 33rkkl base29 | b177396 tridecimal | 5a2h78 octovigesimal | 2004798 hexadecimal | 1fbj49 base33 | 2d47kq trigesimal | xarvw base34 | 10103201023212 quaternary | 2066603664 septenary | 1ngpd4 base29 |

| ibafg6 Base21 to Decimal | a0d08c Tetradecimal to Tridecimal | 2omkol Septemvigesimal to Pentadecimal | vvq95 Duotrigesimal to Octal | 224153746 Nonary to Septemvigesimal | 110210200211121 Ternary to Hexavigesimal | 2in39e Hexavigesimal to Tetradecimal | bj0j5k Base21 to Senary | 14a19b92 Tridecimal to Pentavigesimal | ed8c07 Pentadecimal to Ternary | 12141530410 Senary to Tetravigesimal | 1202224432 Quintal to Base31 | 2jukut Base31 to Hexatrigesimal | 29c8w7 Base33 to Binary | 2rb51r Base29 to Tetravigesimal | 22020122020 Quintal to Tetradecimal | b9licf Base22 to Base34 | 21ge4b0 Octodecimal to Decimal | 9fd5b4 Base21 to Base23 | 10101011000101011101111110 Binary to Hexadecimal | o17u8 Base31 to Vigesimal | 2ifl4n Duotrigesimal to Tetravigesimal | b3b1a0 Base23 to Base19 | 11j65cd Vigesimal to Hexadecimal | 11105120051 Senary to Octal | 4db6357 Tetradecimal to Duodecimal | 1deykd Base35 to Base33 | 6eeig0 Pentavigesimal to Tetradecimal | 11100110030121 Quaternary to Base34 | 1116a93 Base19 to Base34 | 68moim Septemvigesimal to Base29 | 6mj44h Base23 to Tetravigesimal | 2167754 Tridecimal to Undecimal | 11100011100001001001011001 Binary to Base29 | 4gm3 Octovigesimal to Base34 | 1533023204 Senary to Undecimal | 1n82jj Base31 to Decimal | g83eg8 Base19 to Base33 | 6b60b4e Pentadecimal to Base35 | 233rnt Duotrigesimal to Octodecimal | 343346 Base29 to Nonary | 88277604 Nonary to Trigesimal | 1835479 Tridecimal to Senary | qqh8o Base34 to Septenary | bql2k Base34 to Base33 | 450553000 Senary to Ternary | 5fl8k5 Base23 to Duotrigesimal | 11012021121221111 Ternary to Tetradecimal | 22bfo0 Trigesimal to Septemvigesimal | 102gdf9 Base19 to Base23 |

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