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.

| 352ag8g base17 | 19ah752 vigesimal | 54460522 octal | 4241141154 senary | 1bnpc0 base33 | 3120121021 quintal | jifcbe vigesimal | 17jkot base33 | 1eh3a9 tetravigesimal | 100220043331 quintal | 32ejs base29 | 223081148 nonary | 4648772 duodecimal | 19bg6df octodecimal | 100110000010111100101110111 binary | 2231013213113 quaternary | b631ee base22 | 6dddc6b pentadecimal | 48hgo0 hexavigesimal | 59498626 decimal | 2101021112211212 ternary | 5lhemm pentavigesimal | whj6w hexatrigesimal | 11100202011000221 ternary | 1dnonk pentavigesimal | 4300313000 senary | 200532360 octal | 2d427e0 hexadecimal | 2ba3a86 octodecimal | t8ur6 hexatrigesimal | cok0c hexavigesimal | jfsmq base35 | 47i5i4 tetravigesimal | 2001030002021 quaternary | uctd0 duotrigesimal | 1xn3q3 base34 | 61id50 pentavigesimal | 1ffd36h octodecimal | 5140112412 senary | 41955212 undecimal | 3og717 pentavigesimal | 4449529a undecimal | 4mb3nk septemvigesimal | 4188099 tridecimal | 68ja1d base22 | 2b3k0p hexavigesimal | 58a4cc5 pentadecimal | cej2g base22 | 13dyl5 hexatrigesimal | b1db0a3 tetradecimal |

| 289ba448 Duodecimal to Octovigesimal | 1l12h9 Base33 to Nonary | 1221211220100201 Ternary to Octovigesimal | 1s61ok Base31 to Base17 | 142430010431 Quintal to Duodecimal | 2lnntq Trigesimal to Base23 | 7874044 Pentadecimal to Base35 | 5g98a2 Pentavigesimal to Tetradecimal | a663835 Undecimal to Pentadecimal | ci64l Base34 to Octovigesimal | htgd Base33 to Ternary | i7b2k6 Base21 to Base34 | 3c33os Base31 to Hexatrigesimal | 6540682 Pentadecimal to Trigesimal | 5457b57 Duodecimal to Base34 | r4hab Hexatrigesimal to Septemvigesimal | 919mb Base31 to Senary | 56d6ac Pentadecimal to Trigesimal | 7bji1a Base22 to Quaternary | 4cf47o Octovigesimal to Binary | 2r2elb Octovigesimal to Base34 | 13a26ic Base19 to Octodecimal | 18838g1 Octodecimal to Duodecimal | 265140456 Octal to Pentavigesimal | 3cd9cd5 Tetradecimal to Hexatrigesimal | s5f19 Trigesimal to Base35 | 2fei20 Base33 to Base29 | 7gts4 Base34 to Octal | 1609aab5 Tridecimal to Octovigesimal | 114431322 Quintal to Base19 | 7ijb7 Base22 to Decimal | 2220146045 Septenary to Octovigesimal | 44dh0e Pentavigesimal to Nonary | 11003245105 Senary to Hexadecimal | 2469a24 Hexadecimal to Base29 | 4f29i0 Tetravigesimal to Base22 | 52kjk8 Base23 to Octodecimal | o0bpg Septemvigesimal to Hexadecimal | 3medmk Tetravigesimal to Septemvigesimal | n11i2 Tetravigesimal to Trigesimal | 5o56fe Pentavigesimal to Hexadecimal | d0mjlk Base23 to Base22 | 11100011011011101001100100 Binary to Decimal | 5jq30n Septemvigesimal to Pentadecimal | 22233044412 Quintal to Trigesimal | 2esog9 Trigesimal to Quaternary | 6h7uu Base34 to Trigesimal | 50182014 Decimal to Base17 | 4c99b11 Tridecimal to Quintal | 5osut Base33 to Octovigesimal |

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