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.

| 9ghehd base22 | 44100403320 quintal | 1286c7a6 tridecimal | 2002212112002222 ternary | 228qu8 base31 | 5585313 pentadecimal | 3emlqi octovigesimal | 1bb31570 duodecimal | 5n4io3 hexavigesimal | 10221001020021220 ternary | 15q2ds base31 | 2211020012121021 ternary | 4k66mc tetravigesimal | 18b62748 duodecimal | ae74e9 base23 | be5qn hexatrigesimal | 41150573 octal | 57j2i8 pentavigesimal | 2fg25k base31 | 2n16rb trigesimal | 685a407 duodecimal | 4348a65 undecimal | 2b9b31 trigesimal | 2dfmfl base29 | 4291412a undecimal | 303022300202 quaternary | 155043433 septenary | 153416a vigesimal | 1e828d3 base19 | 698099 base17 | h4ih6f base19 | 36463307 undecimal | 19che3j vigesimal | 74200412 nonary | 9gc0n pentavigesimal | 20210021222210022 ternary | 31423987 decimal | 22120222002111 ternary | 24w5ck base33 | 43365e base21 | 69121k pentavigesimal | 24206816 duodecimal | 5ng8he septemvigesimal | 2h70b5 tetravigesimal | jje36 pentavigesimal | 6117a88 duodecimal | 14ihig9 base19 | 1qka4 duotrigesimal | 30e6ih vigesimal | 1c4804a pentadecimal |

| cdcf34 Hexadecimal to Octal | 2g4d3e Septemvigesimal to Decimal | 6bd0l4 Base23 to Quaternary | 4l53ig Base29 to Octovigesimal | 3201220213331 Quaternary to Base22 | npx6p Base34 to Decimal | a80i4e Base22 to Duodecimal | 43974d Base29 to Trigesimal | 4c3n70 Pentavigesimal to Base31 | 5jge24 Octovigesimal to Nonary | fsrol Base33 to Base23 | 19960379 Undecimal to Tridecimal | 640bi8 Pentavigesimal to Base35 | 8bcknj Tetravigesimal to Septemvigesimal | 42025127 Decimal to Trigesimal | 35jhi Base21 to Octovigesimal | 22103144120 Quintal to Tetradecimal | 171jae Base34 to Senary | 32bdb41 Pentadecimal to Base29 | 2879ca8 Tetradecimal to Base21 | 9k26cb Base21 to Base17 | 1osjt Base34 to Hexavigesimal | b51jf4 Vigesimal to Pentadecimal | 166075621 Octal to Ternary | efgl6 Base23 to Duodecimal | d7em8m Base23 to Base31 | 1pi7ip Duotrigesimal to Base35 | 5a6f402 Hexadecimal to Base33 | ad764 Base29 to Undecimal | 1md44h Base35 to Tetravigesimal | 387e0b9 Pentadecimal to Octal | 764c93b Pentadecimal to Quintal | 35fijk Octovigesimal to Base23 | 11212233112201 Quaternary to Trigesimal | 200211201431 Quintal to Base17 | ifpns Base35 to Quaternary | 2cbeb2 Base22 to Base34 | 2di73i Vigesimal to Tridecimal | j176c0 Base22 to Quintal | 113be5f Base17 to Quaternary | 2lf4fq Duotrigesimal to Base17 | i62ll Hexavigesimal to Base31 | a779a86 Undecimal to Base23 | 467417776 Octal to Pentavigesimal | 364047417 Octal to Base29 | 43ad6c Octodecimal to Octovigesimal | 2ga065 Base22 to Tridecimal | giigb Pentavigesimal to Base31 | 425d21 Pentavigesimal to Base17 | 13tskb Base34 to Base33 |

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