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.

| d0k0c2 base22 | 66b19ab duodecimal | 2dgeh9f octodecimal | 28906114 undecimal | ci4ghk base21 | 3n80u base33 | 10101001111111101100101011 binary | 3403500332 senary | 214033415 septenary | 24v27w base33 | 3311424421 quintal | 1501014054 septenary | 5h0cik tetravigesimal | 1712b91a duodecimal | 15647d hexadecimal | 1317287 nonary | 48jc5e hexavigesimal | 31572384 nonary | 17163fb octodecimal | 2ao72 hexavigesimal | z4fgd hexatrigesimal | 110112021202 ternary | 1020200001201010 ternary | 18d6dd4 pentadecimal | 930aa22 duodecimal | 10011101111011001100111111 binary | 25c732c tetradecimal | 200022121430 quintal | 518f5i tetravigesimal | 17j729 base21 | 47d3098 hexadecimal | 213031130031 quaternary | 14090425 undecimal | 72716107 decimal | 6ha6jh septemvigesimal | 547hf4 septemvigesimal | j8i22e base21 | 40ofe7 septemvigesimal | 6xl1y hexatrigesimal | 1hclcn octovigesimal | 6d1b52e pentadecimal | 661lbf hexavigesimal | 1ibqco base35 | 458hl1 septemvigesimal | 55382116 nonary | 68fn26 pentavigesimal | 100010011011001001101101111 binary | 20cqef septemvigesimal | 1m72zi hexatrigesimal | 100010110011010100001110000 binary |

| 5bc1la Octovigesimal to Octodecimal | bcf6e9 Base21 to Nonary | 1d0047 Vigesimal to Tridecimal | 3rrlc4 Base29 to Septemvigesimal | 1517hd0 Base19 to Octodecimal | 16977154 Duodecimal to Octal | 6bb693 Base19 to Base17 | 12054100225 Senary to Octodecimal | 1rsakk Base31 to Octovigesimal | 25oa69 Trigesimal to Base29 | 1eljfh Octovigesimal to Vigesimal | 162826166 Nonary to Quaternary | 4942324a Undecimal to Base23 | 24014110244 Quintal to Hexadecimal | a5539h Pentavigesimal to Base33 | 45953220 Decimal to Octal | 3d2818c Hexadecimal to Pentavigesimal | 9104762 Decimal to Base29 | 2ld7is Base29 to Tetravigesimal | a970a52 Duodecimal to Base17 | 294g4k Base21 to Nonary | 191a548b Duodecimal to Hexadecimal | 71192715 Decimal to Hexavigesimal | 9f54bi Vigesimal to Base29 | 12575fg Vigesimal to Octodecimal | 102glz Hexatrigesimal to Hexavigesimal | c7465l Base23 to Senary | 401l9d Hexavigesimal to Tetradecimal | 1456a306 Undecimal to Senary | hfcg57 Base22 to Base17 | 32544m Hexavigesimal to Hexatrigesimal | b99c4a9 Tridecimal to Duodecimal | 20220001111222001 Ternary to Base21 | 91272c3 Tetradecimal to Quaternary | 2301233211201 Quaternary to Base22 | 9d6e74 Pentavigesimal to Base22 | 1ff7edg Octodecimal to Octal | 1mldmw Base34 to Base33 | 21481512 Nonary to Octal | 2122350545 Senary to Base29 | 177c89b Base19 to Octodecimal | 3320322323000 Quaternary to Trigesimal | 20122121011121100 Ternary to Base31 | 3e1qp5 Septemvigesimal to Octal | 335134441 Octal to Undecimal | 1423034254 Senary to Base34 | 4a2854 Octovigesimal to Pentadecimal | 19c02dd Vigesimal to Tridecimal | ai40bc Tetravigesimal to Base21 | 4bdsk Base31 to Pentavigesimal |

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