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.

| 5i67a septemvigesimal | 1iee7p base29 | 87d4k base29 | 1a2f14e octodecimal | 3kr423 base29 | 1111111010011011000011011 binary | 137jpi base29 | 1ephx5 base35 | q26pn base35 | 122031203 quintal | 2123665112 septenary | 144343120 nonary | 20400212221 quintal | 3f0dg81 base17 | cd0aeh base23 | 72256866 nonary | 3el1ln base31 | 6911kf pentavigesimal | 1000100210201210 ternary | 2040546211 septenary | e1e8t base33 | 403762266 octal | 1438e84 pentadecimal | 2127191 hexadecimal | gg9g4f vigesimal | 93acb05 tetradecimal | 34de81d hexadecimal | 6b86bdc tetradecimal | 4h4mk9 octovigesimal | 1ac8f84 base17 | a35c2f base23 | 323441 septemvigesimal | 57hb9b tetravigesimal | 10023001122032 quaternary | 564bjg base21 | eif4fb vigesimal | 6439369 pentadecimal | 1632640156 septenary | 1o06s6 duotrigesimal | 3543031220 senary | 4425530520 senary | 103034241413 quintal | 10001210112122221 ternary | 10300210123101 quaternary | 51611393 decimal | 477142403 octal | 2212036066 septenary | 42071131 undecimal | 476b155 tetradecimal | 18if2f8 vigesimal |

| 10212221120221112 Ternary to Hexadecimal | 4gsg6j Base29 to Base21 | 90b1ad Tetravigesimal to Septenary | 12212200211201120 Ternary to Undecimal | 3110124041 Senary to Trigesimal | 8ebkh7 Base21 to Base33 | iscpo Trigesimal to Hexadecimal | 484ieg Tetravigesimal to Base22 | kt7v3 Base34 to Pentadecimal | 32970994 Undecimal to Base33 | 299smk Trigesimal to Base35 | 5h2lj5 Octovigesimal to Septemvigesimal | 1a01age Octodecimal to Tetradecimal | 1111b381 Tridecimal to Hexadecimal | c0707c Tetravigesimal to Vigesimal | 1am15r Hexatrigesimal to Quintal | 1445264530 Septenary to Base33 | 348hfi Base19 to Base21 | 35k10h Base29 to Octodecimal | 47beaa Hexadecimal to Septemvigesimal | 1ktle1 Hexatrigesimal to Base21 | 20patx Base34 to Duodecimal | 1gc7201 Octodecimal to Base29 | 31366051 Septenary to Quintal | 42012242300 Quintal to Octovigesimal | 2fd8io Base33 to Octovigesimal | 1f0680 Base21 to Base33 | c7139a Tetravigesimal to Pentadecimal | 1585652a Duodecimal to Septenary | d375d17 Tetradecimal to Base22 | 2045a01a Duodecimal to Base21 | 56885722 Nonary to Base19 | 1nm5j1 Duotrigesimal to Base35 | v3kc2 Base33 to Quintal | 9aa7998 Tridecimal to Nonary | 7570648 Duodecimal to Quintal | cc27823 Tetradecimal to Pentavigesimal | b716716 Tetradecimal to Duodecimal | orvej Duotrigesimal to Base22 | 19325k Duotrigesimal to Base34 | 55f2f Base22 to Decimal | 1m14nj Duotrigesimal to Base17 | 32ab8e Octodecimal to Tridecimal | 2dk1a Trigesimal to Nonary | 4356865 Duodecimal to Base21 | acehgj Vigesimal to Base31 | he8i2h Base19 to Nonary | 1478166 Tetradecimal to Base21 | 650igj Base23 to Hexadecimal | 20221121110201020 Ternary to Duodecimal |

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