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.

| 1d9iq8 septemvigesimal | 1a3j108 vigesimal | 1136611053 septenary | 1btowx hexatrigesimal | 123241344130 quintal | 386c18e hexadecimal | 2epj3 base29 | 585glm octovigesimal | 24202321401 quintal | 1330344203 quintal | 7jh85i base21 | 10537958 duodecimal | 6bpau base34 | 10363664 undecimal | 1725635 base17 | fupkb base33 | a8a006 base21 | 1510034236 septenary | 9qm74 base34 | 3d874 base19 | 2op5pr duotrigesimal | ck5841 base22 | ohyu5 base35 | jdg6a base22 | 88562d tetravigesimal | 1100032303311 quaternary | mxohx hexatrigesimal | hj972e base22 | 299d57h octodecimal | 13053314213 senary | 3824743 nonary | 123431311342 quintal | 11d8dfe base17 | 1155f97 octodecimal | 86de815 pentadecimal | 3a5646b tetradecimal | 2fep7h base33 | 1l7oxk base35 | ab30c46 tridecimal | 2gu68m base33 | 561610011 octal | 103531621 octal | a428522 tetradecimal | 132102114000 quintal | 2igffi tetravigesimal | 4oerjf octovigesimal | 85881156 decimal | d7dgjf base22 | 332531252 senary | 10122110120122020 ternary |

| 24acad Hexadecimal to Trigesimal | 81022da Pentadecimal to Octovigesimal | 58d7g2 Septemvigesimal to Undecimal | 5cijl2 Hexavigesimal to Octodecimal | 1jdfo1 Base33 to Tetravigesimal | 9oll4n Pentavigesimal to Septemvigesimal | 22991671 Duodecimal to Base35 | 1233450420 Septenary to Nonary | 2a4fif Octovigesimal to Base33 | 25lk26 Trigesimal to Base35 | 60nku Base31 to Tetradecimal | j370b1 Vigesimal to Octodecimal | 2130600135 Septenary to Octal | 1lacr4 Base29 to Quaternary | i3610i Base21 to Quaternary | 121021433344 Quintal to Nonary | 1891jgj Vigesimal to Base35 | 12121021112221100 Ternary to Octovigesimal | 123143343210 Quintal to Base23 | 7t5d3 Base35 to Tetradecimal | gkf6je Base22 to Duotrigesimal | 1099ch0 Octodecimal to Ternary | 2fie7e Trigesimal to Base22 | 8kd683 Base21 to Septenary | 365723306 Octal to Base29 | 104usd Hexatrigesimal to Base31 | 2h472i Septemvigesimal to Base35 | 3dbid5 Base31 to Base34 | 29immh Septemvigesimal to Base19 | 1033301231033 Quaternary to Base35 | 3j18e4 Base23 to Base29 | 14473183 Nonary to Base23 | cia9fe Base22 to Octal | 100110111011100000010010111 Binary to Octodecimal | lbo74 Pentavigesimal to Tetravigesimal | 4517a8a9 Undecimal to Tetravigesimal | 8ll1ad Tetravigesimal to Pentadecimal | 85fkca Tetravigesimal to Decimal | xxyy8 Hexatrigesimal to Base35 | 31121354 Octal to Ternary | 3372c7 Hexadecimal to Tetravigesimal | 1e9b1ig Base19 to Duotrigesimal | 1060002660 Septenary to Octodecimal | 12f4z2 Hexatrigesimal to Base19 | 222212103321 Quaternary to Septenary | 1n26s3 Base34 to Hexadecimal | 513ng1 Tetravigesimal to Quaternary | 2214456b Duodecimal to Hexavigesimal | 18prm Duotrigesimal to Pentavigesimal | 2510ow Base34 to Duotrigesimal |

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