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.

| 11225414534 senary | 8n917n pentavigesimal | 1100110101100001011010000 binary | j9r3i base34 | mj7rn base35 | 56cwp base35 | 1061322230 septenary | 79gfnc pentavigesimal | 11523543401 senary | 30kdek base23 | 3ljk4p base29 | 134132202113 quintal | k9t48 base35 | 13pleh base31 | 6840f base33 | f201j base21 | r92gf trigesimal | 23n911 base33 | 1e87503 base19 | 2212332112223 quaternary | 60604546 septenary | a1ac9j vigesimal | 7340e9 base19 | 11101221000220121 ternary | 13bwj8 hexatrigesimal | 35cfg0 trigesimal | 3dg65ea base17 | 4i5d0e tetravigesimal | 108853511 nonary | pd375 hexavigesimal | 6870fc base21 | 632321512 septenary | 299358 octodecimal | 223033314 nonary | r4cu1 duotrigesimal | 406ef3 hexadecimal | 1624cc54 tridecimal | b22c832 tetradecimal | 40424111130 quintal | 422cef octodecimal | 1302112213133 quaternary | 1mtpj6 base31 | 112112786 nonary | 1apro4 duotrigesimal | 13i2en base35 | cf5fk4 base21 | 2f0nig base31 | r4185 base33 | f5kir octovigesimal | 1931b359 duodecimal |

| 34ijgn Hexavigesimal to Pentavigesimal | 8mlini Tetravigesimal to Ternary | 3n25cm Septemvigesimal to Base17 | 33inm Trigesimal to Vigesimal | 3857nh Pentavigesimal to Binary | 1233054425 Septenary to Base33 | 13514541005 Senary to Octodecimal | 715kd7 Tetravigesimal to Duodecimal | 8aac4h Vigesimal to Tetravigesimal | b9fkj Base23 to Base34 | 11111110011001011000111100 Binary to Tetravigesimal | 2ajnqc Septemvigesimal to Undecimal | 1a865674 Undecimal to Hexatrigesimal | 24005555 Duodecimal to Trigesimal | 5c16g8 Base23 to Octodecimal | 632202416 Septenary to Base23 | 444053421 Septenary to Octovigesimal | 54dnq7 Septemvigesimal to Pentadecimal | 376qa Hexatrigesimal to Base34 | 11210101212012211 Ternary to Base21 | 54l30g Hexavigesimal to Base21 | 1201220120201120 Ternary to Undecimal | 30f56fb Hexadecimal to Vigesimal | 2698163a Undecimal to Base31 | 50347a Base23 to Base17 | 1bd3py Hexatrigesimal to Base23 | 21866778 Undecimal to Base29 | 111111110010000100011011 Binary to Vigesimal | 10212001112202200 Ternary to Base19 | 2km6d0 Octovigesimal to Base21 | 3413bd Tetradecimal to Decimal | 8j011k Base23 to Undecimal | 12144103453 Senary to Hexavigesimal | 4h151f Tetravigesimal to Hexatrigesimal | e011v Base35 to Base22 | 3ob5p9 Octovigesimal to Base22 | 156745564 Octal to Base31 | 1867651 Tridecimal to Base31 | 1629350 Tetradecimal to Tetravigesimal | 5b01ed1 Pentadecimal to Binary | 1on828 Base35 to Base23 | p9ocb Base29 to Septemvigesimal | 2131025446 Septenary to Pentadecimal | 7904b2d Pentadecimal to Tridecimal | 10012121121100120 Ternary to Quaternary | c99b84 Tridecimal to Undecimal | 556289b Hexadecimal to Base22 | 100011100011101011000001100 Binary to Base19 | 113143442223 Quintal to Duotrigesimal | 1l5rrf Octovigesimal to Decimal |

Everything you find on this website is for educational purpose. This website does not store any of your data. We don't use cookies and other stuff. We don't have database. We just want to convert numbers :) - By

Privacy Policy