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.

| 151a0380 duodecimal | 120c34 pentadecimal | f9e0e5 octodecimal | 89600259 decimal | 28g35h4 octodecimal | g75aj base21 | ca49r trigesimal | 11010010110011010110100110 binary | mlgri base35 | 61431361 decimal | 16u97h base34 | 4q9pbn septemvigesimal | 5hc4eg base22 | 48783183 decimal | 2a7c724 pentadecimal | 114423321210 quintal | 20fl17 trigesimal | 2benp6 hexavigesimal | 4fbj5l base29 | 144435067 octal | 3gjak0 base29 | 17a68426 duodecimal | 12r3c4 base31 | 1643253333 septenary | 4h634i tetravigesimal | 375ca96 hexadecimal | 8lkn9 base34 | 154883b6 duodecimal | 33af282 hexadecimal | 100110100010110000100111111 binary | ckgjj base31 | 180ef66 base19 | 2ic6m7 base23 | q289n base35 | 12223110004 quintal | b3dl0j tetravigesimal | 2qjh04 duotrigesimal | 21d3747 octodecimal | 32475292 undecimal | 1hi43f2 base19 | 101010111010101010010110001 binary | 1i73b1c base19 | 100101101011101010011011111 binary | 1d46d57 base17 | 949c2ac tridecimal | 18186495 decimal | hh7f18 base21 | j2gha base31 | 22e4il base33 | 9c73j base21 |

| 220250535 Nonary to Base33 | 477512227 Octal to Pentadecimal | 24da760 Base17 to Binary | 94bb51 Tetradecimal to Binary | 39rqjq Base31 to Base35 | c31j4b Tetravigesimal to Pentadecimal | qc3b2 Base35 to Base31 | 1366166552 Septenary to Hexadecimal | 10001001110110010010001111 Binary to Base22 | 13a38j Trigesimal to Septenary | 1ir0p8 Octovigesimal to Pentadecimal | 30g8d4 Base23 to Base21 | 1305264226 Septenary to Hexatrigesimal | 134506743 Nonary to Tridecimal | 1346236630 Septenary to Octal | 5322412140 Senary to Trigesimal | 19di387 Vigesimal to Base29 | 1650513146 Septenary to Base34 | 661fj5 Vigesimal to Base34 | 3ocqq9 Base29 to Octovigesimal | 11213113302102 Quaternary to Vigesimal | 16a49181 Undecimal to Senary | 30o53t Base31 to Duodecimal | 38df18b Base17 to Base19 | 1011233323201 Quaternary to Pentavigesimal | 4d4l55 Tetravigesimal to Base29 | 39l99c Base22 to Duodecimal | cac3701 Tetradecimal to Octodecimal | h8e0ij Base22 to Hexatrigesimal | b0a9c20 Tetradecimal to Octovigesimal | 175874a9 Duodecimal to Base31 | 1dal7k Base23 to Quintal | 96gd00 Base19 to Base35 | aa68148 Tridecimal to Hexadecimal | df16j Vigesimal to Octodecimal | 214cik Duotrigesimal to Senary | 2303131131212 Quaternary to Hexavigesimal | 100101001011010010011101010 Binary to Quaternary | i8iu8 Base34 to Tetravigesimal | 18f189 Octovigesimal to Hexatrigesimal | 17712c47 Tridecimal to Duodecimal | 37c85g3 Base17 to Base34 | 9h6ob3 Pentavigesimal to Hexadecimal | 533675163 Octal to Octovigesimal | 67761237 Nonary to Undecimal | 22k892 Base33 to Septenary | c479cc2 Tetradecimal to Nonary | 10100550512 Senary to Decimal | 606b84d Pentadecimal to Septenary | 510072 Base23 to Base33 |

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