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.

| 200ace duotrigesimal | 112144113204 quintal | 10d7025 tetradecimal | 1agx7m hexatrigesimal | 99mahg tetravigesimal | 62c7207 pentadecimal | 490lk5 pentavigesimal | 3hc9lb base22 | 1i95ad base31 | ilac04 base22 | 12g4lh base34 | 59ij5c tetravigesimal | i36gi5 base19 | 10100110443 quintal | 305d1b2 base17 | 201015476 octal | 1c1ce25 hexadecimal | 1evmoj base35 | 85aa047 pentadecimal | ihfig vigesimal | 7igi2l hexavigesimal | 2hiql2 septemvigesimal | 6850300 tridecimal | 3el2ik base22 | llh1g base29 | 1504014310 septenary | a2l1d8 tetravigesimal | 1243423243 senary | 22211240 decimal | 71130266 decimal | tkjo9 base35 | 2110002021122220 ternary | 3n052 septemvigesimal | 10404423212 quintal | 11h695 hexatrigesimal | 1453255312 septenary | 10b42e7 base21 | 11103030002110 quaternary | 142807116 nonary | 11310120220001 quaternary | 15od9k base29 | 4ag288 pentavigesimal | 12120111111021200 ternary | 5lbjb7 base22 | 100111100000001001110000000 binary | 101110011001010100110100011 binary | 3991791 undecimal | 302c9b tridecimal | 41330122100 quintal | 350201444 senary |

| 3040277 Undecimal to Octovigesimal | 1326033110 Septenary to Trigesimal | 66d7d50 Tetradecimal to Base17 | b9cc7cb Tridecimal to Decimal | 1chs25 Hexatrigesimal to Pentavigesimal | 46fq6n Base29 to Decimal | lhnjj Trigesimal to Quaternary | rdosn Base29 to Tetradecimal | 2340223204 Senary to Tetradecimal | b09faa Vigesimal to Octodecimal | 8236bj Base22 to Octovigesimal | 75370532 Octal to Base33 | 9m3f00 Pentavigesimal to Decimal | 40682214 Decimal to Base22 | 3303312001231 Quaternary to Base22 | mp0gq Base34 to Tetradecimal | 103011403004 Quintal to Octal | 18943628 Duodecimal to Hexatrigesimal | 12d8hg0 Base21 to Quintal | o294k Base34 to Tetravigesimal | 138383b5 Tridecimal to Decimal | 1371bha Base19 to Base17 | 1606a93 Octodecimal to Senary | 231561 Duotrigesimal to Tetradecimal | b3eg53 Base19 to Base17 | 3er1hm Trigesimal to Tetradecimal | 2cc7d86 Tetradecimal to Octodecimal | oer3j Hexatrigesimal to Base29 | q64iy Base35 to Tetradecimal | 302323313201 Quaternary to Base23 | 5h0d02 Base23 to Quintal | 10301112011032 Quaternary to Base21 | 4ddk3l Base29 to Base17 | 1230012310111 Quaternary to Base34 | 1rhpn6 Base33 to Octovigesimal | 504341224 Senary to Quintal | hbfj9a Vigesimal to Quintal | plfff Base34 to Ternary | 41a623e Hexadecimal to Duodecimal | 1273351 Base21 to Pentadecimal | 17gmwl Base34 to Binary | 4eobp5 Septemvigesimal to Quintal | 2ghkje Tetravigesimal to Duotrigesimal | 78ikfe Tetravigesimal to Base31 | 29oiqi Septemvigesimal to Base35 | 13232622 Duodecimal to Base19 | 6l8f49 Tetravigesimal to Base17 | c300685 Tridecimal to Duotrigesimal | 46908047 Undecimal to Hexadecimal | ufi92 Base31 to Tetradecimal |

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