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.

| 8if636 pentavigesimal | 2a517 pentavigesimal | 1kmpde duotrigesimal | 9hh3i duotrigesimal | 165416104 octal | 401502530 septenary | 19hvxc base35 | 226g909 base17 | fea9ce base22 | 40360508 nonary | 80ong5 hexavigesimal | 224151804 nonary | 64725229 decimal | b30698 tetradecimal | 131ab219 duodecimal | 2ud0fm duotrigesimal | 15902887 duodecimal | ai9x8 hexatrigesimal | 11023123010102 quaternary | 136a7692 undecimal | 247572307 octal | 5c2efg base19 | 142214123020 quintal | 8hfial tetravigesimal | 62dlq9 septemvigesimal | 1426ht base33 | amc6n base31 | 6b1a40 hexadecimal | 4enl77 octovigesimal | 311502555 senary | 99542426 decimal | 10202102001120212 ternary | 171742 vigesimal | 46c94i septemvigesimal | 2hlf57 base33 | 8fkfa duotrigesimal | 1854g6g base17 | 53941708 decimal | 257919a4 duodecimal | 2080620 decimal | k57hb octovigesimal | 1d2e6c9 octodecimal | 203315033 nonary | 9n421d pentavigesimal | 8225kg pentavigesimal | 101010011110011010001110100 binary | 9fbpb base29 | 14e94f0 base17 | 12203341401 quintal | 1o3g1 base34 |

| jb9ii Base29 to Quintal | 1260356353 Septenary to Tridecimal | 7ab8g7 Base17 to Nonary | 1730ff2 Base17 to Hexatrigesimal | 16dkl4 Base33 to Base22 | 3ai7ls Base29 to Decimal | 2c81e15 Base17 to Binary | 11207617 Tridecimal to Trigesimal | 4a3rm4 Octovigesimal to Senary | 1ufse0 Base34 to Ternary | 20011101210021201 Ternary to Trigesimal | fam9d5 Base23 to Base35 | 299ac9 Septemvigesimal to Pentadecimal | 3112202131013 Quaternary to Base31 | h25j47 Vigesimal to Octovigesimal | 12165807 Decimal to Base21 | tthtn Base33 to Binary | 76ijbl Base22 to Tetradecimal | 3a70646 Tridecimal to Senary | 162760264 Octal to Ternary | 2000231233313 Quaternary to Quintal | 330313200322 Quaternary to Hexavigesimal | c215f6 Hexadecimal to Base17 | 1040vr Base35 to Vigesimal | bh5348 Vigesimal to Quaternary | 1jl3cf Tetravigesimal to Duodecimal | 15w3ko Hexatrigesimal to Octal | 965a995 Tetradecimal to Octovigesimal | 1ahdi5 Base21 to Quaternary | jo535 Base31 to Undecimal | 123565502 Octal to Tridecimal | 417ab78 Tetradecimal to Hexadecimal | 12c782 Octodecimal to Trigesimal | 10110001000111111101100011 Binary to Base29 | 8921c9e Pentadecimal to Duodecimal | 13h1h3 Vigesimal to Base34 | 32733564 Decimal to Base34 | xu0ss Base35 to Duodecimal | 1100100100110111110001001 Binary to Base31 | 203505621 Octal to Hexavigesimal | 3a83aa6 Hexadecimal to Duotrigesimal | 6hbb8q Septemvigesimal to Decimal | 2dpi88 Septemvigesimal to Hexavigesimal | 35487152 Nonary to Hexavigesimal | 552775141 Octal to Quintal | 51005166 Nonary to Base23 | 453k6c Base21 to Base31 | 203131230003 Quaternary to Trigesimal | 7b3c8b4 Tridecimal to Trigesimal | 25kf10 Pentavigesimal to Hexatrigesimal |

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