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.

| c175282 tridecimal | 30aeco pentavigesimal | 4170aa4 tridecimal | 405387a0 undecimal | 20211221210200101 ternary | 78ld13 base23 | 4fb5cj base21 | nh999 hexatrigesimal | 3c62856 pentadecimal | 6d804l tetravigesimal | 12122102020020212 ternary | 2987rc trigesimal | 10064004 octal | 1010010111111010110110111 binary | 35b8da vigesimal | 3gdtcm trigesimal | 41j3e4 hexavigesimal | 26565362 septenary | 473gha pentavigesimal | 2sld3p trigesimal | 277704d hexadecimal | 550451706 octal | 2g03cg base23 | 178ac824 tridecimal | f3mmc1 base23 | 10aeh9a vigesimal | 1igljl base29 | 224106382 nonary | 3174a61 tetradecimal | 525316171 octal | 1c4a1c tridecimal | 4jpcd octovigesimal | 1hhb976 base19 | 1012110000012012 ternary | 14c36998 tridecimal | 1suell base33 | 48969a8 undecimal | 923nlo pentavigesimal | 10a1811 undecimal | 2ipdkr duotrigesimal | o5mb3 hexatrigesimal | 1491250 vigesimal | 54p718 septemvigesimal | g7cia octovigesimal | 1kz84h hexatrigesimal | iux4u hexatrigesimal | 1f4ldr base35 | 6078912 tetradecimal | 424me7 pentavigesimal | fc3l0a base23 |

| 85ga6g Vigesimal to Septemvigesimal | 8ajaba Base23 to Hexadecimal | 1985l2 Duotrigesimal to Base17 | 25n7a7 Septemvigesimal to Hexadecimal | 72386082 Decimal to Nonary | xpauy Hexatrigesimal to Base34 | 16956930 Duodecimal to Base33 | 3mab0h Tetravigesimal to Tetradecimal | 20211101121222102 Ternary to Hexatrigesimal | 28975307 Duodecimal to Base19 | 2f7c44 Base31 to Quintal | 7179492 Undecimal to Base35 | aihigi Base22 to Hexavigesimal | 1761063a Tridecimal to Base35 | s3isc Base29 to Base35 | 23ac2d9 Tetradecimal to Base34 | 7g5cd Base34 to Nonary | 99315131 Decimal to Base31 | 71160072 Nonary to Base33 | 228938 Base33 to Ternary | 20022110111000201 Ternary to Tridecimal | gglh2j Base22 to Base34 | ag17ei Base22 to Decimal | 2c83qe Base29 to Ternary | tc0p6 Base35 to Pentadecimal | 2111211120121102 Ternary to Duodecimal | 11000002001112200 Ternary to Base21 | 3b49b1e Pentadecimal to Octovigesimal | 2hncej Hexavigesimal to Base35 | 11f63i6 Base19 to Base31 | 356ad6a Hexadecimal to Duotrigesimal | 46071041 Undecimal to Octodecimal | 2q2cre Base31 to Ternary | 1424023 Tridecimal to Trigesimal | 4544002125 Senary to Trigesimal | 6lp59m Hexavigesimal to Base31 | 3312252131 Senary to Decimal | 7d1079 Base17 to Base34 | 3jyxk Base35 to Base17 | 18288hb Vigesimal to Base31 | 49ff3e2 Hexadecimal to Senary | 50333484 Nonary to Base35 | 95b1a45 Duodecimal to Undecimal | d642a7 Pentadecimal to Ternary | 2748tn Base33 to Octal | 5ihmhj Hexavigesimal to Duotrigesimal | 3022310113020 Quaternary to Binary | 443644614 Octal to Octodecimal | 154801050 Nonary to Hexadecimal | 1152512403 Senary to Base35 |

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