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.

| 3n8ko5 trigesimal | 1arbo5 base35 | 8ia088 vigesimal | 9gehd8 base19 | 51o936 pentavigesimal | 6c7ac2d tetradecimal | 42081237 nonary | 24b95b76 duodecimal | 498fmp hexavigesimal | 1121002122101221 ternary | 1a146de hexadecimal | 1424302433 quintal | 1536pl hexavigesimal | 3ckehi septemvigesimal | 102214142000 quintal | 20020221102221000 ternary | a8110 base17 | ildj72 base22 | 2477313 duodecimal | 218037086 nonary | di2ih7 base21 | 24ge0g6 octodecimal | 4eh28q octovigesimal | 5jbblm tetravigesimal | 1a715518 duodecimal | 5p3248 hexavigesimal | 1gv9fc base35 | 3m7qpq octovigesimal | 11fsic base34 | 21646140 septenary | 1001000110101110110111000 binary | 10qmfg base34 | 277217573 octal | 20d8fd4 base17 | ck8e5b base22 | 9e9115 base17 | 91640228 decimal | 32gs base33 | 4glob5 hexavigesimal | 2g7df76 octodecimal | 32254653 nonary | 1c7ccf hexavigesimal | xcf4p base34 | 3fhspp trigesimal | 25av3q base34 | 2onac9 duotrigesimal | 1650050651 septenary | 33bba27 pentadecimal | 240b14ab duodecimal | 2if8m2 duotrigesimal |

| 14a94898 Duodecimal to Binary | 163611005 Nonary to Base34 | 1l7wbi Base34 to Octodecimal | h10m7 Base33 to Hexavigesimal | 5ci8ia Base23 to Duotrigesimal | 1233121123323 Quaternary to Hexavigesimal | 8rv96 Hexatrigesimal to Pentavigesimal | 1qqpe Base33 to Base31 | 2324b4b7 Duodecimal to Nonary | 1011413324 Senary to Quintal | c431jd Tetravigesimal to Pentadecimal | 883d6cd Pentadecimal to Base23 | 12504030333 Senary to Base21 | 7680c60 Tridecimal to Base17 | f6nm9 Pentavigesimal to Quaternary | 1jhbad Hexatrigesimal to Senary | 10135124031 Senary to Quintal | 3033523404 Senary to Binary | avhcd Base35 to Duodecimal | 2102320133210 Quaternary to Base17 | 10110011101011110100100101 Binary to Quintal | 101001010110001100111100011 Binary to Octodecimal | 189j6m Base33 to Base23 | 3334205 Decimal to Base34 | a187b95 Tridecimal to Base23 | 55578828 Decimal to Base22 | 20r9d2 Duotrigesimal to Hexavigesimal | 452053104 Octal to Base31 | a6d35c6 Tetradecimal to Base29 | j500h Septemvigesimal to Base31 | 125338846 Nonary to Duotrigesimal | 3321023303012 Quaternary to Duotrigesimal | 362c75 Base21 to Base29 | ba40c0 Base23 to Binary | 113412201201 Quintal to Tridecimal | 388bl6 Tetravigesimal to Base22 | 146533c5 Tridecimal to Octodecimal | 102333100432 Quintal to Pentavigesimal | w3l95 Base33 to Binary | 1000010000101101001000010 Binary to Octovigesimal | c2ikg Base21 to Base35 | 207501281 Nonary to Ternary | 131cbb90 Tridecimal to Base23 | 3102120020112 Quaternary to Nonary | 40paoa Septemvigesimal to Duodecimal | 101011111101000000111111001 Binary to Base35 | 1octe3 Base31 to Undecimal | 33q5g8 Base29 to Duodecimal | 18yr5y Base35 to Duodecimal | ru53k Base35 to Base31 |

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