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.

| c80eca vigesimal | 1215581 vigesimal | 4c0e2b base22 | 5d05380 hexadecimal | c9ch04 base21 | 1360982b tridecimal | 3580ba2 base17 | 266631433 septenary | 1xkj9e base34 | 92c1430 tetradecimal | 1j1m2y hexatrigesimal | 12550413141 senary | 3b8jk1 octovigesimal | 100111100010111011000010001 binary | 3d87391 pentadecimal | 2156335204 septenary | 2epkg5 base31 | 6ekm32 base23 | 2lda1 base35 | 2f2f058 hexadecimal | hg6ci0 base21 | 28aa9786 duodecimal | e1ic48 vigesimal | 1101215424 septenary | 69b9833 tetradecimal | 605550133 septenary | 1265eeb base17 | a652733 undecimal | onovd duotrigesimal | 1011110101001101100111011 binary | 1eb6o3 hexavigesimal | 1231620314 septenary | 1wsuq7 base33 | 1dwf1k hexatrigesimal | 1gg6jp trigesimal | 782a8c5 tridecimal | 111413233002 quintal | 8542b62 tetradecimal | 3001032013300 quaternary | 41424203103 quintal | 1011111001001000100100100 binary | 247jnr base29 | 13f5eb vigesimal | 5mgb2c base23 | 1972031a duodecimal | bncd tetravigesimal | 2o36im base31 | hf558c base21 | a29lb2 base22 | 9f1552 base21 |

| 29o29t Base33 to Octovigesimal | de5a Vigesimal to Senary | c5h16f Base22 to Base23 | 100010100110010001100000001 Binary to Tetravigesimal | 4loi64 Base29 to Quaternary | 1n2h6f Base31 to Hexavigesimal | 12440312511 Senary to Tetradecimal | 5051010032 Senary to Octal | 356hb6 Pentavigesimal to Base33 | 205416042 Nonary to Octodecimal | 24320333023 Quintal to Tetradecimal | 2313122241 Quintal to Duotrigesimal | 14i7if Septemvigesimal to Octodecimal | 1cfg7a9 Base17 to Undecimal | 13cote Base34 to Senary | or9ie Trigesimal to Undecimal | b4b2761 Tridecimal to Pentadecimal | 92illd Tetravigesimal to Quaternary | f758b3 Base21 to Undecimal | 9lued Base31 to Pentadecimal | 1altpp Duotrigesimal to Base19 | 2020202122010210 Ternary to Decimal | 2ne3dl Base31 to Hexavigesimal | 145447a5 Undecimal to Senary | 370945 Octovigesimal to Quaternary | 1afyvh Base35 to Base33 | 197b5e0 Vigesimal to Nonary | 33495314 Decimal to Duotrigesimal | 17fpd7 Duotrigesimal to Hexadecimal | 1bjmvl Base35 to Decimal | 847c9c Hexadecimal to Senary | 411bmd Septemvigesimal to Octal | 155af60 Vigesimal to Binary | 2clc90 Base29 to Duodecimal | 84d1a32 Tetradecimal to Quaternary | ykqzs Hexatrigesimal to Base21 | 23048b32 Duodecimal to Base29 | 4l796b Septemvigesimal to Pentavigesimal | a8103c Hexadecimal to Base23 | ecgg5g Base19 to Binary | 100233301340 Quintal to Octovigesimal | 1ophbr Base33 to Undecimal | 63d6624 Pentadecimal to Quaternary | 10111100000001001100 Binary to Hexadecimal | col4h Septemvigesimal to Base17 | 332a752 Duodecimal to Base17 | 112434224402 Quintal to Septemvigesimal | 234pll Base29 to Octodecimal | 37039157 Undecimal to Pentadecimal | 47bmg9 Octovigesimal to Base19 |

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