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.

| 2ba7982 base17 | 11prg1 duotrigesimal | 2mklpq duotrigesimal | 11964a9 hexadecimal | 1k1rqa base33 | 19rmmh base31 | 4a74f2e hexadecimal | 12423231303 quintal | 1052600630 septenary | 41322222442 quintal | 73403a7 tridecimal | 371712717 octal | 9l17fk tetravigesimal | 31naph octovigesimal | 32a64b4 tetradecimal | 2adpcc duotrigesimal | 1ruug9 base33 | 11313300253 senary | 6mmkc3 tetravigesimal | yp984 base35 | 457416244 octal | 1goqm1 base33 | ejkb base22 | 46pcce octovigesimal | 38c723c base17 | 1615650566 septenary | 176554004 octal | 500c6b5 hexadecimal | 1413411141 senary | 62a8d10 tetradecimal | 15e0e64 hexadecimal | 30146288 decimal | pg2to base35 | 3132200220332 quaternary | g9f9 base34 | 11022003034 quintal | b9fh trigesimal | 34lca4 hexavigesimal | 10101101000001001100001010 binary | 43112241110 quintal | 8a16702 duodecimal | 114052232 nonary | c8efe4 base22 | 11a71081 tridecimal | 2r5k0i trigesimal | 125457311 octal | w2g93 base34 | 17ega81 vigesimal | 2cg4ka trigesimal | 2393hb9 octodecimal |

| bbc301 Base22 to Duotrigesimal | f0dlbd Base22 to Binary | 20011022201101000 Ternary to Tridecimal | 14799097 Decimal to Base31 | 1tovh9 Base33 to Septenary | 3mc8if Hexavigesimal to Duotrigesimal | 1dw0ql Base34 to Trigesimal | 4efe77 Base17 to Hexavigesimal | 20010120110011001 Ternary to Septenary | 7kk4e6 Tetravigesimal to Octovigesimal | 10102121200020202 Ternary to Tridecimal | 880to Trigesimal to Base33 | km3l4 Hexavigesimal to Base35 | 1f1e25 Base31 to Nonary | 4kjk2a Base22 to Quintal | 2221211102010000 Ternary to Trigesimal | 31hd04 Pentavigesimal to Septemvigesimal | hrpdn Octovigesimal to Octal | a3mfah Tetravigesimal to Decimal | 502a3672 Undecimal to Duotrigesimal | 45n007 Octovigesimal to Base33 | 5qlo9 Trigesimal to Hexavigesimal | 23dxc7 Base34 to Hexadecimal | 157bc8c4 Tridecimal to Decimal | 1k16e5 Base22 to Base31 | 1001001111110000000110101 Binary to Duotrigesimal | 1781b686 Tridecimal to Base21 | 304ad57 Base17 to Duodecimal | 91692564 Decimal to Base35 | 1jh6b Base34 to Base35 | 1j56db Hexatrigesimal to Base29 | 17mpdj Base35 to Hexavigesimal | 50hc7 Base31 to Ternary | lvxuu Base34 to Tetravigesimal | 1123322220 Senary to Tetravigesimal | 445221 Senary to Base35 | 1lef1r Duotrigesimal to Pentadecimal | 47ib3b Base29 to Tetravigesimal | 1rhq76 Base34 to Base31 | 20b3y Base35 to Base29 | 2uf6j0 Duotrigesimal to Base29 | 1c25i09 Base19 to Septemvigesimal | b85ac0 Base21 to Base22 | 1n4f73 Base31 to Vigesimal | 7qds2 Hexatrigesimal to Tetravigesimal | 1advkb Hexatrigesimal to Base29 | 13714b1 Vigesimal to Tetravigesimal | 78185559 Decimal to Tridecimal | 32a34508 Undecimal to Duodecimal | 43368211 Decimal to Septenary |

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