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.

| 37a53a28 undecimal | 3102321203013 quaternary | 64d52d3 tetradecimal | m4v6x base34 | 5ma0m6 pentavigesimal | a172700 tridecimal | byslg hexatrigesimal | 6inl3q septemvigesimal | 3fnei8 trigesimal | 8kn68k pentavigesimal | 7cbhg1 base19 | 165022141 nonary | 11120231030310 quaternary | 326155035 octal | 4245234423 senary | 4053355003 senary | 114403157 octal | uzpj5 hexatrigesimal | 978ejb pentavigesimal | 1ep0pk trigesimal | 85g764 octodecimal | 1ij3n6 base31 | 79435b6 tetradecimal | f49c98 hexadecimal | 62aefd base17 | 101101000110101000111100101 binary | 12056202 undecimal | 2oge88 hexavigesimal | 12351152253 senary | mm1sw base33 | a05504 tridecimal | 44n39j hexavigesimal | 65931523 decimal | 101011101101110011001100001 binary | k933a8 base21 | 2925133 undecimal | 7ty97 hexatrigesimal | e2fgic base19 | 7l1olp hexavigesimal | 5e7h7d base19 | 11001011101100100001111110 binary | 24442230230 quintal | 4eig7g octovigesimal | b755j8 tetravigesimal | 6n3c0a tetravigesimal | 2256454214 septenary | gdbl8f base22 | 27g4hgb octodecimal | f498h0 vigesimal | dbr18 octovigesimal |

| 1111010101111110000111101 Binary to Senary | 530456136 Septenary to Tetravigesimal | 1vamh4 Duotrigesimal to Base21 | 1000010101010110101011110 Binary to Base22 | 121120441323 Quintal to Duotrigesimal | 1d61c9 Duotrigesimal to Vigesimal | bdaj55 Vigesimal to Quaternary | 12h30e6 Base19 to Pentavigesimal | qjs3r Base35 to Base19 | 3d6b601 Base17 to Decimal | 4or3ka Base29 to Undecimal | 11304302320 Quintal to Hexadecimal | 4dc04d Octovigesimal to Duodecimal | pfqlu Base34 to Duodecimal | bej9m1 Tetravigesimal to Pentadecimal | 131014433443 Quintal to Undecimal | h12fe2 Octodecimal to Trigesimal | 10010111011110110111100111 Binary to Duodecimal | 60faf8 Hexadecimal to Undecimal | b794970 Tridecimal to Septemvigesimal | 13802b27 Tridecimal to Base19 | 3d86h4 Octodecimal to Base22 | 49746314 Decimal to Tridecimal | f7b280 Base22 to Undecimal | 3e58fi Base19 to Base33 | 14605595 Duodecimal to Binary | blgib7 Base23 to Base19 | 11011001101110001011100101 Binary to Vigesimal | 134232444100 Quintal to Base35 | 1gkin7 Tetravigesimal to Duodecimal | 3934db7 Base17 to Base23 | ai2668 Vigesimal to Quintal | 101100011101010000001111011 Binary to Tridecimal | 135hit Trigesimal to Base33 | 1bvlp3 Base33 to Hexadecimal | 3c2a30a Pentadecimal to Hexavigesimal | 1050561145 Septenary to Tridecimal | 6f3gll Septemvigesimal to Tetradecimal | 74eggi Base23 to Base17 | 2n89b2 Septemvigesimal to Quintal | dbhcag Base22 to Base21 | nxooo Base34 to Quaternary | 171l46 Duotrigesimal to Quaternary | 1551621514 Septenary to Base33 | 6d86l1 Pentavigesimal to Base29 | 2044444021 Quintal to Octal | i8i7ac Base21 to Tetradecimal | 3b1fa5 Base19 to Quaternary | twgv5 Base35 to Pentavigesimal | 7d1e38a Pentadecimal to Hexadecimal |

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