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.

| 2j1t4c duotrigesimal | 8gvhj base34 | 5am1e0 pentavigesimal | b6ee2f tetravigesimal | bk4323 base22 | e026b1 vigesimal | 5lmd1 octovigesimal | sh23j duotrigesimal | 24esji duotrigesimal | 1052111266 septenary | n1r20 trigesimal | k86sc duotrigesimal | bh8af2 octodecimal | 10040211432 senary | 3hk4nc base29 | 2ad1437 base17 | 5hifgm base23 | 1hk8ff octovigesimal | wkbtn base33 | 274626344 octal | 100010000110111010111110000 binary | 1g0q81 base35 | 4k328o octovigesimal | 3231132200233 quaternary | 7590b9 vigesimal | 2013333211101 quaternary | 5ac00d0 hexadecimal | 10cfhkj base21 | 416036051 octal | 209hba9 base19 | 3f615ce base17 | 13c58d base22 | b416268 duodecimal | 463435c tridecimal | 3gll2h septemvigesimal | 62pidd hexavigesimal | 65431013 decimal | 21f9g74 base19 | 1b8b02f octodecimal | fb0682 base23 | 38ppdj base29 | 2aca7d1 tetradecimal | bdj4ci tetravigesimal | 131133303213 quintal | 79lg2d tetravigesimal | cjf3k octovigesimal | aj70d2 vigesimal | 12221502430 senary | 40k9l5 hexavigesimal | 2132121113313 quaternary |

| 4p5g4k Base29 to Senary | 1649b81 Hexadecimal to Tetravigesimal | ih356 Base33 to Octal | 23r528 Base33 to Hexatrigesimal | 50627208 Decimal to Octal | 223446003 Septenary to Undecimal | 4hc8jf Base29 to Duotrigesimal | 237sst Duotrigesimal to Hexadecimal | 10101011001100101100010 Binary to Decimal | 1b25246 Base19 to Duodecimal | 69a93b Base19 to Quintal | 22q7ng Septemvigesimal to Vigesimal | 223a42 Base34 to Hexadecimal | kljj9 Octovigesimal to Duodecimal | 6134014 Undecimal to Base21 | 1c74734 Hexadecimal to Hexavigesimal | 79c021d Tetradecimal to Base19 | 2230130020032 Quaternary to Pentadecimal | 12255332450 Senary to Pentadecimal | 10100000010100100011100001 Binary to Tetradecimal | a681017 Tridecimal to Quintal | 129717a Undecimal to Binary | 3bd0b7c Pentadecimal to Base29 | 1aadhah Base19 to Quaternary | 19sdoa Base29 to Octodecimal | 899a490 Pentadecimal to Base31 | 1lq5bd Base31 to Base33 | 773kg2 Hexavigesimal to Binary | 16fkss Base29 to Duotrigesimal | 26062822 Nonary to Base33 | 3bj5c7 Septemvigesimal to Decimal | 3a716m Octovigesimal to Base19 | 347555320 Octal to Duotrigesimal | 1153ng Base33 to Pentadecimal | 2250126560 Septenary to Base21 | a2ci25 Tetravigesimal to Pentadecimal | 1217jj9 Vigesimal to Quaternary | 45oprk Octovigesimal to Duotrigesimal | 1i24ha Base33 to Quaternary | 472abb0 Pentadecimal to Trigesimal | 1edive Base35 to Base21 | 4c8f0b Base22 to Septemvigesimal | 75bwv Hexatrigesimal to Base23 | 18c491d Octodecimal to Trigesimal | 41677d8 Hexadecimal to Hexatrigesimal | 24514352 Decimal to Tetravigesimal | 1dfhn0 Base34 to Septenary | 76ei3h Pentavigesimal to Base34 | 2a675a18 Undecimal to Trigesimal | 366pq6 Base29 to Nonary |

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