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.

| 477a5457 undecimal | 3719067 tridecimal | 81ijdi tetravigesimal | 2eb1966 pentadecimal | 1k95i0 base31 | 16tgtf base33 | 4a8a6598 undecimal | 2cae9o duotrigesimal | 45a5i3 hexavigesimal | pcfvp base33 | c9c078b tetradecimal | 83e0f1 hexavigesimal | s0a1b hexatrigesimal | c4gjk hexatrigesimal | 7elbi8 hexavigesimal | 2rp0c2 duotrigesimal | ohkr4 trigesimal | 4315525135 senary | 1qatbt base31 | 38q71l base29 | 100001101100100110001110110 binary | 434510110 septenary | 3j6hd pentavigesimal | 2101032332303 quaternary | 19j1518 vigesimal | 90f03c pentavigesimal | td3qs base34 | 360ao1 base31 | 2ebbl9 duotrigesimal | 5331332531 senary | 6mcdbj septemvigesimal | gfa158 vigesimal | 373447543 octal | 1aads hexatrigesimal | 457107470 octal | 1g3fg6 hexavigesimal | 1f751i0 base19 | ca736f base17 | 1h2i13 duotrigesimal | 96fhd0 base21 | ce0h10 octodecimal | 1aa06289 undecimal | 192m4k tetravigesimal | 147a320b duodecimal | vg6l9 base34 | 3320323220311 quaternary | 37efbfa hexadecimal | 335325211 octal | 18522463 decimal | 6hbjg1 base23 |

| 2899655b Duodecimal to Base23 | 1123014435 Septenary to Quaternary | 11111011111000111011001000 Binary to Base22 | 14fe200 Hexadecimal to Quaternary | 4i49ll Pentavigesimal to Octodecimal | dfosi Base29 to Octovigesimal | 4pkfdb Hexavigesimal to Octal | 897dd90 Tetradecimal to Base22 | 5icc31 Base21 to Septenary | 3ae5k1 Septemvigesimal to Octovigesimal | 7jhe27 Hexavigesimal to Quaternary | 321441500 Octal to Nonary | 268idn Base31 to Decimal | 1112113003102 Quaternary to Tetravigesimal | 94c0ii Vigesimal to Duodecimal | 9ajk0h Tetravigesimal to Quaternary | 116360562 Nonary to Base29 | 222695 Duotrigesimal to Senary | 2415332031 Senary to Pentavigesimal | 6hi066 Base23 to Hexadecimal | 64h260 Vigesimal to Senary | 1211102300033 Quaternary to Duodecimal | 42121o Hexavigesimal to Septenary | 1k3gxi Base34 to Decimal | 75014174 Nonary to Octovigesimal | 13euir Hexatrigesimal to Pentadecimal | 1ac9ic6 Base19 to Base23 | 302504645 Octal to Base19 | 1fhad39 Octodecimal to Base23 | qu577 Base33 to Nonary | 122102023012 Quintal to Septemvigesimal | b31a858 Tetradecimal to Trigesimal | gnu0r Base31 to Vigesimal | 7fi321 Base21 to Base17 | 1773kx Base34 to Pentavigesimal | 63k14a Base22 to Pentavigesimal | 11a97aca Tridecimal to Septenary | 15aa13 Base31 to Tridecimal | 2809c07 Octodecimal to Base29 | 24rn41 Base29 to Hexavigesimal | 10ddi0i Vigesimal to Base29 | 5502570 Tetradecimal to Senary | 6h05ab Vigesimal to Hexatrigesimal | 2i3cku Base31 to Base21 | 1a388c8 Pentadecimal to Octodecimal | 78a50i Hexavigesimal to Quaternary | 3250194 Hexadecimal to Pentadecimal | 3q21jq Octovigesimal to Decimal | 44983 Base22 to Hexavigesimal | 12120211010200101 Ternary to Base19 |

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