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.

| 3fule hexatrigesimal | j7bk66 base22 | 17m8bq base31 | 7hsr3 base33 | 3oomne octovigesimal | 2t7fkh base31 | 609f5f base23 | 13141202335 senary | 3202033201210 quaternary | 5b7e2f base22 | 4699a4a pentadecimal | 17pidu base33 | 23911563 duodecimal | 5611d32 pentadecimal | 113116426 octal | c0w9i base35 | 53588443 decimal | 47120243 octal | 6im9e base33 | 365022311 octal | 5r28p octovigesimal | 10hhc1h octodecimal | 3b5d2a3 hexadecimal | 142a29b7 duodecimal | 205148548 nonary | 3f0elf octovigesimal | 5cd7128 pentadecimal | 120224304230 quintal | 10ag2e7 base19 | 1a854764 duodecimal | 2i267g pentavigesimal | 2p9lg1 duotrigesimal | 4caq9 trigesimal | 11211211120202000 ternary | 21404112211 quintal | 14aa93a8 tridecimal | 42489098 undecimal | 154157452 nonary | 223e5d7 base17 | 374020061 octal | 5a33631 hexadecimal | 410053a9 undecimal | 5e4198 base23 | 48237c base19 | 2oke8t base31 | 2ghj6c base29 | 3312122232211 quaternary | 29h0334 octodecimal | 53k3ck pentavigesimal | j9jff1 base21 |

| 1su83o Base33 to Tetravigesimal | ah4q Septemvigesimal to Duotrigesimal | 1501560624 Septenary to Pentadecimal | 318fjn Base31 to Base29 | 131400143100 Quintal to Base22 | 14d71f5 Octodecimal to Quaternary | 16092504 Duodecimal to Duotrigesimal | 14ce77 Base31 to Base35 | 286baa09 Duodecimal to Trigesimal | 2kofge Trigesimal to Pentadecimal | e142gc Vigesimal to Undecimal | 364h90 Vigesimal to Binary | 98179422 Decimal to Octal | 34010230413 Quintal to Binary | cbirx Base34 to Quintal | a058cc6 Tetradecimal to Base21 | 24h4jf Base33 to Duotrigesimal | 160055305 Nonary to Hexavigesimal | 375724105 Octal to Binary | 1l4hj0 Base31 to Trigesimal | 24a04a2a Duodecimal to Tridecimal | 139ba84 Pentadecimal to Duotrigesimal | 1436d51 Pentadecimal to Quintal | 1nqlio Octovigesimal to Nonary | o3x3n Base34 to Senary | 48ebd2 Pentavigesimal to Octodecimal | 21fh13a Base19 to Tetradecimal | 187818484 Nonary to Base22 | 1e20tj Base33 to Octovigesimal | 4d9d7d2 Pentadecimal to Base23 | 36203971 Decimal to Base33 | 6238ca9 Pentadecimal to Duodecimal | i0849c Vigesimal to Pentavigesimal | 2c431r Base31 to Base17 | 2134505335 Septenary to Tetradecimal | a7a0i Base22 to Binary | 9g74h8 Base22 to Vigesimal | 3a235d7 Base17 to Octovigesimal | qpvt3 Hexatrigesimal to Tetravigesimal | 56h692 Base21 to Binary | 23std8 Base33 to Undecimal | b8fdd2 Base23 to Tetravigesimal | 15054604 Octal to Septenary | 24amkl Duotrigesimal to Hexatrigesimal | ofg3b Octovigesimal to Septenary | 2d0r4r Base29 to Octovigesimal | 1574a415 Duodecimal to Tridecimal | 100310261 Septenary to Octovigesimal | cfig0i Base23 to Septemvigesimal | 1rjfbl Trigesimal to Duodecimal |

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