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.

| 79772188 decimal | 17a7be base33 | 18aa0h octodecimal | 6ii8jg vigesimal | 121342340400 quintal | w6gnc base35 | 244276055 octal | 4de3dc tetravigesimal | 15s7l2 base34 | 11001111000110101010010100 binary | 5ddcb8 vigesimal | 1kbips base35 | 1sodhi base33 | 50420988 decimal | 11671909 decimal | 100102133422 quintal | 253dek base34 | q3qqv base35 | 10111110100000101111010001 binary | 19bdfa base23 | 127383730 nonary | 7dkcj5 base22 | coktq hexatrigesimal | 5bf0fo octovigesimal | 4f0j0o octovigesimal | e9hbb2 octodecimal | t4t3y base35 | 134333034443 quintal | 603214650 septenary | 39bb960 pentadecimal | 16b9514 octodecimal | w4229 base33 | 3afaeg8 base17 | 256jce base29 | 35e0400 pentadecimal | icf180 vigesimal | 7ggtg base35 | 1khzi9 hexatrigesimal | 1261982b tridecimal | 6mskg duotrigesimal | b1e5fg vigesimal | 6720b98 tetradecimal | 25l3i3 base29 | caa9906 tetradecimal | 31j5rs trigesimal | 25277ca pentadecimal | 58735572 nonary | 8405d8 tetravigesimal | 1020421622 septenary | 102410130230 quintal |

| a39a18 Tetravigesimal to Senary | 4bhon5 Octovigesimal to Senary | 10032123313022 Quaternary to Duotrigesimal | 1313632425 Septenary to Hexadecimal | 202816a Base19 to Base33 | 1l2q6h Base34 to Undecimal | 4n6ioo Septemvigesimal to Binary | 11100100110001010000101 Binary to Nonary | 4cj97n Tetravigesimal to Duotrigesimal | 3020232321203 Quaternary to Base35 | 6lks4 Duotrigesimal to Base22 | 2f8fjb Tetravigesimal to Tridecimal | 4738d3a Tetradecimal to Hexadecimal | g86kt Base34 to Base21 | 1r8bk8 Duotrigesimal to Ternary | 808i5g Base23 to Hexatrigesimal | 13085742 Tridecimal to Septemvigesimal | 6c23a27 Pentadecimal to Septemvigesimal | 5k52ph Octovigesimal to Pentadecimal | 4369a533 Undecimal to Octodecimal | 9d058e Base21 to Hexatrigesimal | 1sqvbe Base33 to Tridecimal | 1241252504 Senary to Undecimal | 4o6dc9 Septemvigesimal to Septenary | 74809434 Decimal to Base29 | 12002220201020122 Ternary to Quintal | 1qflra Trigesimal to Base19 | qoeem Base29 to Undecimal | 75lm97 Tetravigesimal to Vigesimal | 2deg0c Base17 to Base33 | 1hkqjo Trigesimal to Base17 | 947333 Base21 to Tetradecimal | 612ik2 Hexavigesimal to Octodecimal | 23097 Hexadecimal to Nonary | 265002654 Septenary to Octodecimal | 2f2h8n Base33 to Base19 | d47032 Tetradecimal to Duodecimal | hjjif6 Vigesimal to Quintal | 12142511313 Senary to Septemvigesimal | 8814j7 Vigesimal to Hexatrigesimal | 1k3aqv Base34 to Base21 | ni37n Tetravigesimal to Undecimal | 6mkg5c Tetravigesimal to Pentavigesimal | 34r0nf Trigesimal to Base31 | 1b1gfe Octovigesimal to Septemvigesimal | 2ic1j4 Base31 to Quaternary | 4e76ea Hexadecimal to Base23 | 15168093 Decimal to Septemvigesimal | b37m0d Tetravigesimal to Base33 | 4se60 Base33 to Base17 |

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