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.

| 25674b42 duodecimal | 1220252043 senary | 415b66f base17 | b77gb2 vigesimal | 1309b1 vigesimal | 2f4ik7 base22 | 7b2sj base34 | r1nkg base35 | 2ob626 octovigesimal | 11201012022012121 ternary | 12352512303 senary | 11102020202021220 ternary | 304067065 octal | 11111110101100111011010001 binary | 1kgd4h base31 | ietsi trigesimal | c834ac6 tetradecimal | 22873b38 duodecimal | 1qfo0l base34 | 1053522363 septenary | 2i12s0 base31 | f4ae6g base22 | 1t42fp base31 | 347411206 octal | 1121000012011110 ternary | 9891929 undecimal | 32023101020 quintal | 13ksig trigesimal | 2qnt32 base31 | 1i29mo base34 | 2118b144 duodecimal | 28pa35 base31 | 13hpho hexavigesimal | 2a780f4 base17 | 15unfu base35 | 10230301310110 quaternary | 8c2b7c8 tetradecimal | 3eka93 base22 | 168247242 nonary | 19gj8h base29 | 4q514 hexatrigesimal | 66655d base17 | 1836f04 hexadecimal | 369175c tetradecimal | 1310000222001 quaternary | olor2 base35 | 12121010010012001 ternary | 100011111011111010111101100 binary | 11j6ah base34 | 7b312b7 pentadecimal |

| 4c83ah Octodecimal to Pentavigesimal | 4213351254 Senary to Decimal | 853db34 Tetradecimal to Binary | 58ikh0 Tetravigesimal to Hexatrigesimal | 160a8680 Tridecimal to Base17 | 1156461 Hexadecimal to Octovigesimal | jjqb3 Base29 to Trigesimal | 4h6lhj Base29 to Base21 | 45810638 Undecimal to Base35 | a1d7980 Tetradecimal to Hexadecimal | 1nj1d9 Trigesimal to Base21 | 2dc0563 Base17 to Base33 | 210hmk Duotrigesimal to Vigesimal | 8da1305 Tetradecimal to Base23 | 215a329a Duodecimal to Base34 | b196h7 Octodecimal to Tridecimal | elh48h Base23 to Quintal | ihci5e Base21 to Base33 | 164b97c Base17 to Octal | 151264635 Octal to Vigesimal | af85ie Base23 to Tridecimal | 7841277 Duodecimal to Octovigesimal | 7ofx6 Hexatrigesimal to Base23 | 6i52ji Pentavigesimal to Hexatrigesimal | 18d79a6 Hexadecimal to Undecimal | 2a5eml Tetravigesimal to Octovigesimal | a5hb95 Base22 to Tetradecimal | 86679b7 Tetradecimal to Base33 | 4ebj8e Hexavigesimal to Tridecimal | 16o0dd Hexatrigesimal to Vigesimal | 2ebjk0 Pentavigesimal to Septenary | 1gjfol Base33 to Octodecimal | 10000111111000010100010011 Binary to Base17 | a1immj Pentavigesimal to Quintal | 252aek Base34 to Vigesimal | 2311154215 Senary to Septenary | ck5f Pentavigesimal to Octovigesimal | baaa455 Duodecimal to Senary | ea58k4 Base21 to Trigesimal | ekbb0 Trigesimal to Octodecimal | 26219b4 Pentadecimal to Tetradecimal | 47jdh6 Octovigesimal to Tetradecimal | 17j797 Septemvigesimal to Ternary | 2cp52d Hexavigesimal to Hexatrigesimal | 1kk7tp Base35 to Quintal | cci5 Base35 to Octovigesimal | 130152a5 Tridecimal to Ternary | hccf98 Base22 to Base33 | 430126520 Octal to Base17 | 15b23703 Duodecimal to Decimal |

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