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.

| 314722a4 undecimal | 9ncfgj tetravigesimal | 11221012103030 quaternary | 4kjsji base29 | 709bg4 hexavigesimal | 105460343 octal | 2bb2068 pentadecimal | 570nl trigesimal | 1303612310 septenary | 47c8b82 pentadecimal | uvnoc base33 | 17011914 tridecimal | 27po55 base33 | 11021222001121022 ternary | 11230130013301 quaternary | 173d2d7 base17 | 1g4db4 base21 | 10235532052 senary | 101011101010100010011100110 binary | b1ec1b base23 | 4j35d4 octovigesimal | brhkp base33 | 10525340432 senary | 155147662 octal | 29723122 undecimal | kbm4a trigesimal | 8q0th base34 | 12030331243 senary | 9prr9 hexatrigesimal | 565d21 base17 | 12320023132 senary | 41349a5 hexadecimal | 17rqli base34 | 169ab129 tridecimal | 2e4627a octodecimal | 2761c2 pentavigesimal | 378ab6 octovigesimal | b93b81a tetradecimal | 2894a916 undecimal | 1220355455 septenary | 144211100122 quintal | 7ji75 hexavigesimal | 10331113301033 quaternary | 83t0t base31 | grdwi hexatrigesimal | 165434656 septenary | 1262544003 septenary | b2a9m base29 | 1143513323 senary | 11012211012100011 ternary |

| hciee Hexavigesimal to Trigesimal | 43162a67 Undecimal to Octal | 125g174 Vigesimal to Septemvigesimal | 20010011001201020 Ternary to Base31 | 4p6c1c Octovigesimal to Duotrigesimal | hlad0l Base22 to Septemvigesimal | e0cg Base22 to Binary | 17bel4 Hexavigesimal to Septenary | 1a4g140 Base19 to Decimal | d6a359 Base23 to Undecimal | 3mf50h Hexavigesimal to Base35 | 901gea Vigesimal to Nonary | 48059672 Decimal to Octovigesimal | 2102551043 Senary to Base29 | 3y8ua Hexatrigesimal to Base21 | 2dw64h Base33 to Senary | 1odjrl Base33 to Septemvigesimal | 11211201221020222 Ternary to Hexadecimal | 44facg Base29 to Base33 | 12gc9b Tetravigesimal to Vigesimal | 33112043334 Quintal to Decimal | 2c795c6 Pentadecimal to Octovigesimal | 1k9cic Duotrigesimal to Binary | 1233012133030 Quaternary to Septenary | 134230153 Septenary to Senary | 112313444324 Quintal to Binary | 3mhbn5 Base29 to Base34 | 182714f Octodecimal to Hexatrigesimal | 15a60852 Tridecimal to Octovigesimal | 4da7827 Hexadecimal to Pentadecimal | 1rrhe5 Octovigesimal to Octodecimal | 104233442230 Quintal to Duotrigesimal | 491hfh Tetravigesimal to Septemvigesimal | rrlhg Base34 to Trigesimal | 11000111111010011111001010 Binary to Base35 | 83gfnb Tetravigesimal to Ternary | 2d7b1g0 Base17 to Trigesimal | 1arsjv Base34 to Duodecimal | 20h7a1 Base31 to Base23 | 44jblk Tetravigesimal to Ternary | 173nhx Hexatrigesimal to Trigesimal | 50gi8f Base21 to Base33 | 539ed Base34 to Vigesimal | 226130b1 Duodecimal to Octodecimal | 2dgnf8 Trigesimal to Octodecimal | 1ah6g09 Octodecimal to Senary | 5522100251 Senary to Base21 | 2oiaac Septemvigesimal to Base19 | 1ba70859 Duodecimal to Tridecimal | 440li6 Tetravigesimal to Hexatrigesimal |

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