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.

| 32431402040 quintal | 6d00d1 base19 | wg4c base34 | 5a72396 tridecimal | 12331421332 senary | 393e411 hexadecimal | 13402204025 senary | cf5hk base29 | 9c14336 tridecimal | 139045b base19 | 3932be base29 | 88651362 nonary | 16b166e hexadecimal | 303012310122 quaternary | 12121222220000100 ternary | 7bf059 octodecimal | 2265160212 septenary | 31ba540 duodecimal | 11tbg2 hexatrigesimal | 1285e25 pentadecimal | 1d7f10d base19 | 4cnann septemvigesimal | 2dl7e1 base29 | lk2op septemvigesimal | dheal hexatrigesimal | 7n9o1f pentavigesimal | 28se6e base33 | 65177865 nonary | 2335554203 senary | c22b9f base17 | 11203022312201 quaternary | 498848b tridecimal | 1jsv68 base33 | 15844775 tridecimal | 36480a80 undecimal | 12022121021022002 ternary | 1bi6008 base19 | 1a97359 hexadecimal | 7777a58 undecimal | 24510c4 pentadecimal | c4cd16 tetradecimal | 1212122010001111 ternary | fy8lb base35 | 1c32ji base22 | 15g0gh base19 | 57381777 decimal | 12w7i8 base35 | 3hlai4 trigesimal | 60124360 octal | 26n8hm base29 |

| 3boo29 Trigesimal to Nonary | 672203 Base22 to Base23 | 23el1s Base31 to Octovigesimal | 201033421213 Quintal to Senary | 352200554 Senary to Pentadecimal | 28dcba Pentadecimal to Hexatrigesimal | 9g6t8 Duotrigesimal to Binary | 10b31hf Octodecimal to Hexatrigesimal | 47a89182 Undecimal to Base31 | 106234a Pentadecimal to Base23 | 130233546 Nonary to Hexadecimal | 14i0g68 Vigesimal to Hexatrigesimal | 1023165634 Septenary to Base31 | 1505230303 Senary to Base35 | 65004535 Nonary to Quintal | 157357381 Nonary to Octodecimal | 113431c2 Tridecimal to Tetradecimal | 742d94 Pentavigesimal to Trigesimal | ab13l9 Base23 to Quaternary | 3h5nj5 Septemvigesimal to Octodecimal | 48ab4b1 Duodecimal to Pentavigesimal | 104001134310 Quintal to Nonary | 13ea02c Base19 to Tetradecimal | 3b0ife Hexavigesimal to Base19 | 10001000001000010100000101 Binary to Septemvigesimal | 33fh30 Septemvigesimal to Base34 | 582aeb5 Hexadecimal to Undecimal | 24242411400 Quintal to Base35 | eldc0 Base29 to Base21 | 626b5aa Duodecimal to Undecimal | 2c25219 Base17 to Base21 | 10000000101111010111001011 Binary to Tetravigesimal | aib00h Base22 to Septenary | 1iz3hp Hexatrigesimal to Duotrigesimal | 5a09c34 Tetradecimal to Duotrigesimal | kh7c5 Base29 to Base22 | ghdhm Septemvigesimal to Binary | 10001000110100000110111101 Binary to Senary | 30341210022 Quintal to Base33 | 248758b2 Duodecimal to Nonary | 89k2i Base35 to Pentavigesimal | 35628650 Undecimal to Pentavigesimal | 14sfkb Base31 to Undecimal | 2o7idb Octovigesimal to Decimal | 207514175 Octal to Base22 | 4a5b260 Tridecimal to Pentadecimal | 3793c3f Base17 to Quintal | 4306ql Base29 to Quintal | 144123111212 Quintal to Nonary | 1mxadw Base35 to Base19 |

Everything you find on this website is for educational purpose. This website does not store any of your data. We don't use cookies and other stuff. We don't have database. We just want to convert numbers :) - By

Privacy Policy