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.

| 252894a4 duodecimal | 26a88d base34 | 140951b9 tridecimal | 12315214243 senary | 222f4ee octodecimal | 32700858 nonary | 5142454551 senary | a811877 tetradecimal | 77d9718 pentadecimal | 21focn octovigesimal | 63012337 octal | 7717ca1 tetradecimal | 27718975 decimal | caa26g base19 | 1314342543 septenary | r9kuc hexatrigesimal | 2c9a05b octodecimal | 3565g1b base17 | 422eh5 septemvigesimal | 26na90 pentavigesimal | 25194230 duodecimal | 3d03ab9 pentadecimal | 469e486 hexadecimal | 79094212 decimal | 2c944 base22 | 1623443062 septenary | 4503321303 senary | 81301a7 tridecimal | 4oln5h octovigesimal | 7hpmlj hexavigesimal | 2e0946c base17 | 7c9ea08 pentadecimal | fl510c base22 | 2m68m8 hexavigesimal | 21fa458 hexadecimal | ha29bc base21 | 216278346 nonary | 1363443621 septenary | 405g0i pentavigesimal | 1ac5a8c hexadecimal | 4e7d2d9 pentadecimal | 10202002121022112 ternary | 2200201100212120 ternary | 1rdtnv base34 | 141414535 nonary | 4flgma septemvigesimal | 3693b99 duodecimal | 11643i9 base21 | icbna base34 | 33708183 decimal |

| 2e8che Trigesimal to Ternary | 4ml8hq Octovigesimal to Nonary | 1f4gdac Base17 to Base22 | 63e4f2 Septemvigesimal to Hexatrigesimal | 2gdnnj Octovigesimal to Vigesimal | 1145136261 Septenary to Octodecimal | 2c3cbe9 Pentadecimal to Quintal | 101102122110212 Ternary to Hexadecimal | 3326ba Base22 to Duodecimal | 9qor5 Base31 to Base21 | 1d2b562 Base17 to Pentadecimal | 2506293a Undecimal to Senary | 4kn7jh Septemvigesimal to Base21 | 48h2j1 Base23 to Undecimal | jge4bh Base21 to Nonary | pimsa Duotrigesimal to Base22 | qq327 Base34 to Base23 | 123410224403 Quintal to Nonary | 32620131 Octal to Ternary | 9ifk07 Base23 to Base19 | 103233140 Quintal to Octovigesimal | ig0p8 Base29 to Octodecimal | 11211201101122121 Ternary to Quintal | 1729abc2 Tridecimal to Senary | 125150320 Senary to Hexavigesimal | 15d5d96 Hexadecimal to Base21 | 4kgmof Octovigesimal to Base19 | dfci08 Vigesimal to Base22 | ch15a6 Base22 to Octovigesimal | 158057030 Nonary to Tetradecimal | 20505929 Decimal to Base17 | cb44250 Tetradecimal to Nonary | 10010110202101010 Ternary to Undecimal | 10202022110102102 Ternary to Base23 | 11201122212120120 Ternary to Octovigesimal | 19932088 Undecimal to Septenary | 142323203133 Quintal to Base34 | d37f0i Vigesimal to Base17 | 13413 Octal to Ternary | 1uwfuh Base33 to Undecimal | 1125413525 Senary to Base19 | 3131121313113 Quaternary to Duotrigesimal | 154b85c Vigesimal to Base34 | 201300311122 Quaternary to Base35 | 41r3fi Octovigesimal to Binary | 4252132034 Senary to Duodecimal | 11020212121102010 Ternary to Pentadecimal | 1a51e68 Octodecimal to Base34 | 2fhc95h Octodecimal to Senary | 2416474 Decimal to Ternary |

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