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.

| 9n4j90 pentavigesimal | 178f9b tetravigesimal | 1gfr58 octovigesimal | 540104021 septenary | t9v3l hexatrigesimal | je842g base21 | 88a62b4 pentadecimal | 16fh5s base31 | h8031 base23 | 36703e0 pentadecimal | 2123602662 septenary | 623agb base17 | 664515163 septenary | 6km8ag pentavigesimal | 35705c9 hexadecimal | 1g61gd base21 | 6a3823 vigesimal | 150062706 octal | hf8g21 octodecimal | 92ej21 base22 | hqu89 base31 | 11135778 undecimal | 1020540423 senary | i3jgfe base21 | 2223053042 septenary | 3043152354 senary | 2ae9o5 trigesimal | 5d2b211 hexadecimal | 3wycr hexatrigesimal | 4iekec tetravigesimal | 346h6f base23 | agc5a7 base17 | 3c0566f hexadecimal | 3c154ef base17 | 1iumi base35 | a802357 tetradecimal | 364031211 octal | 1111110000011011001010011 binary | 390m3c octovigesimal | 11120010012311 quaternary | 6961c5 vigesimal | 71407700 nonary | 30fh4g base29 | 126b332a tridecimal | 9ljbc4 pentavigesimal | 3030335005 senary | 1305123364 septenary | 1cef600 octodecimal | 206505258 nonary | 986240 octodecimal |

| 36fg96 Base31 to Hexatrigesimal | 5bh8bh Octodecimal to Hexatrigesimal | 43748577 Decimal to Base21 | 5022402052 Senary to Quaternary | 9760404 Tetradecimal to Hexadecimal | x0dmq Base35 to Septemvigesimal | 31jak0 Tetravigesimal to Hexavigesimal | oxus4 Base35 to Duotrigesimal | 36766c2 Tridecimal to Base34 | 34804097 Decimal to Octovigesimal | 4407609 Tetradecimal to Decimal | 1ehrjc Base29 to Octodecimal | 24bbb457 Duodecimal to Base23 | 101100101101011101001101000 Binary to Base35 | e40966 Base19 to Base34 | dq3jr Octovigesimal to Base22 | 11435003203 Senary to Base21 | 113121011241 Quintal to Hexatrigesimal | 5681257 Undecimal to Duodecimal | 9cla2 Base23 to Base21 | 1pnwma Base34 to Base33 | 5247902 Decimal to Hexavigesimal | 102223031120 Quintal to Hexatrigesimal | 1001222022212110 Ternary to Binary | 10ba8d1 Pentadecimal to Vigesimal | 2f5h45 Octodecimal to Duodecimal | 332046a9 Undecimal to Hexadecimal | g75gd Base33 to Vigesimal | 1000010101000110011100010 Binary to Base29 | 10101001201002220 Ternary to Pentadecimal | 46u0r Base31 to Tridecimal | 2ds007 Base33 to Base21 | 3d88046 Hexadecimal to Pentavigesimal | cb32he Base22 to Hexavigesimal | 5epi31 Hexavigesimal to Quintal | 13ijpd Octovigesimal to Base22 | 43e5bc8 Pentadecimal to Base31 | hedb9k Base22 to Octovigesimal | 20158254 Decimal to Trigesimal | 17732157 Duodecimal to Tetravigesimal | 90030174 Decimal to Vigesimal | 1bbpn5 Duotrigesimal to Base35 | 3bdejg Vigesimal to Base21 | 467752032 Octal to Decimal | 80925bc Pentadecimal to Binary | 1f5jod Duotrigesimal to Hexadecimal | 1ikmq8 Base29 to Hexatrigesimal | 18704827 Nonary to Octovigesimal | 528234d Hexadecimal to Binary | 149cck Hexatrigesimal to Duodecimal |

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