To use this decimal to hex converter tool, you have to type a decimal value like 79 into the left field below, and then hit the Convert button. Therefore, you can convert up to 19 decimal characters (max. value of 9223372036854775807) to hex.
The decimal numeral system is the most commonly used and the standard system in daily life. It uses the number 10 as its base (radix). Therefore, it has 10 symbols: The numbers from 0 to 9; namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
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Decimal to hexadecimal conversion can be achieved by applying the repeated division and remainder algorithm. Simply put, the decimal number is repeatedly divided by the radix 16. In between these divisions, the remainders give the hex equivalent in reverse order.
@JAVA N AR - I think you may be incorrect when stating that 13 in hex = 49 in decimal. You have it in reverse. 31 in hex is actually 49 in decimal. 13 is actually 19 in decimal as you have 1 in the 16s place (16 raised to the 1st power) and 3 in the ones place (16 raised to the 0 power).
It is not like hexadecimals can't make up those numbers - obviously they can - the whole point of having a counting system is to count all the countables ( i.e how could you not be able to count something that you represent, even if you do it non-numerically, like in this case with numbers 10, 11, 12, 13, 14 and 15)!
But a number that you see as the number 10, 11, 12, 13, 14, 15 or 16 in a hexadecimal counting base is not the same number 10,11,12,13,14,15 or 16 that you see when you look at the decimal base counting table.
While both 13-s, for example, in a decimal and a hexadecimal systems contain same two digits, the digit 3 in the decimal base system represents the amount of 10-s raised to the power of 0, contained in the number, whereas the digit 3 in the hexadecimal base system represents the amount of 16-s raised to the power of 0. Thus, when reading a number 13 in the hexadecimal code, one can read it as a number that is equivalent to a decimal number equal to a TOTAL SUM of 3 packs of 16 raised to the 1-st power AND 1 pack of 16 raised to the 0-th power. Which, upon regular arithmetic calculation gives us the number equal to 3*1*16+1*1=3*16+1=48+1=49.
Therefore, the number 13 in a hexadecimal based world is not the number 13 in a our regular decimal based world, for the number 13 of our own dear decimal world is a letter D in a world of a hexadecimal count. AND, as we have just figured out, the number 13 of the hexadecimal world is a number 49 in the decimal one.
I hope that this clarifies the difference between using 13 as 1 digit, and having a number 13 as a combination of 2 digits.
I have a homework assignment where I need to do three-way conversion between decimal, binary and hexadecimal. The function I need help with is converting a decimal into a hexadecimal. I have nearly no understanding of hexadecimal, nonetheless how to convert a decimal into hex. I need a function that takes in an int dec and returns a String hex. Unfortunately I don't have any draft of this function, I'm completely lost. All I have is this.
The hexadecimal number system (hex) functions virtually identically to the decimal and binary systems. Instead of using a base of 10 or 2 respectively, it uses a base of 16. Hex uses 16 digits including 0-9, just as the decimal system does, but also uses the letters A, B, C, D, E, and F (equivalent to a, b, c, d, e, f) to represent the numbers 10-15. Every hex digit represents 4 binary digits, called nibbles, which makes representing large binary numbers simpler. For example, the binary value of 1010101010 can be represented as 2AA in hex. This helps computers to compress large binary values in a manner that can be easily converted between the two systems.
Converting between decimal and hex involves understanding the place values of the different number systems. A more in-depth discussion is available on the binary calculator page. Note that converting between decimal and hex is quite similar to converting between decimal and binary. The ability to perform the conversion of either should make the other relatively simple. As previously mentioned, hex functions using the base of 16. This means that for the value 2AA, each place value represents a power of 16. Starting from the right, the first "A" represents the "ones" place, or 160. The second "A" from the right represents 161, and the 2 represents 162. Remember that "A" in hex is equivalent to 10 in decimal. Knowing this information, it is then possible to convert from hex to decimal, as shown below:
Converting from decimal to hex is slightly more involved, but uses the same concepts. Refer to the steps and examples below. It is important to work through the example provided in conjunction with the listed steps in order to understand the process:
Converting from hex to decimal utilizes the same principles, but is arguably simpler. Multiply each digit in the hex value by its corresponding place value, and find the sum of each result. The process is the same regardless of whether the hex value contains letter numerals or not.
Hex addition follows the same rules as decimal addition with the only difference being the added numerals A, B, C, D, E, and F. It may be convenient to have the decimal equivalent values of A through F handy when performing hex operations if the values have not yet been committed to memory. Below is an example of hex addition. Work through the example, and refer to the text below it for further details.
Hex addition involves calculating basic decimal addition while converting between hex and decimal when values larger than 9 (the numerals A through F) are present. In the example above, B + 8 in decimal is 11 + 8 = 19. 19decimal is 13hex, since there is 1 set of 16, with 3 left over. Just like in decimal addition, the 1 carries over to the next column. Hence, the next column works out to be 1 + A (10) + 7 = 18decimal, or 12hex. Carry over the 1 to the final column resulting in 1 + 8 + B (11) = 20decimal, or 14hex. This yields the result of 1423hex.
Hex subtraction can be computed much the same way as hex addition; by performing the operation while converting between hex and decimal values. The most significant difference between hex and decimal subtraction involves borrowing. When borrowing in hex, the "1" that is borrowed represents 16decimal rather than 10decimal. This is because the column that is being borrowed from is 16 times larger than the borrowing column (the same reason that the borrowed 1 in decimal represents 10). As long as this is noted, and conversions of the letter numerals A-F are done carefully, hex subtraction is not any more difficult than decimal subtraction. Work through the example, and refer to the text below it for further details.
In the first column on the right of the above example, C, or 12decimal, is smaller than F, or 15decimal. As such, it is necessary to borrow from the next column. This reduces the D, to C, and lends 1, or 16decimal to the first column. 16decimal + 12decimal - 15decimal = 13decimal, or D in the first column. The following columns require no borrowing, making the calculations simple. Since 1 was borrowed, C - A = 12decimal - 10decimal = 2, and 5 - 3 = 2 yielding the final result of 22D. In the case where the number being subtracted is larger than the number being subtracted from, simply change the positions of the numbers, calculate the subtraction, and add a negative sign to the result. If the above example were instead 3AF - 5DC, it would then be written as is, except that the solution would be -22D.
Hex multiplication can be tricky because the conversions between hex and decimal when performing the operations require more effort since the numerals tend to be larger. Having a hexadecimal multiplication table can be helpful (one is provided below). Otherwise, manual conversion between decimal and hex will be necessary for each step. Below is an example of hex multiplication. To the right of the example, each of the multiplication and addition steps is shown. Note that all of the numerals used are hex. Refer to the addition section if necessary.
Long division in hex is identical to long division in decimal, except that the multiplication and subtraction occur in hex. It is also possible to convert to decimal and perform long division in decimal, then convert back once complete. For illustrative purposes, the division example will be calculated entirely in hex. As with multiplication, having a hexadecimal multiplication table (one is provided below) would be convenient while conducting hex division. Below is an example. Note that all numerals in the example are hex. Although no borrowing occurs in the example below, remember that borrowing in hex results in 16decimal being borrowed, rather than 10decimal. Refer to the hex subtraction section for further details.
When we divide 910 by 16, the quotient is 56 and the remainder is 14. Because 14 is represented by E in base 16, we write E to the least significant digit. We continue the algorithm with 56. When we divide 56 by 16, the quotient is 3 and the remainder is 8. Then 8 is the second least significant digit of the hexadecimal number. Finally, we divide 3 by 16. When we do this operation, the quotient is 0 and the remainder is 3. Because the quotient is 0, we stop the procedure. Then we write the last remainder to the most significant digit. To sum up, the hexadecimal representation of 910 is 38E.
The fractional part of 910.69 is 0.69. When we multiply 0.69 by 16, the result is 11.04. The integer part of 11.64 is 11. Because 11 is equivalent to B in hexadecimal representation, we write B to the first digit on the RHS of the radix point.
The fractional part of 0.64 is 0.64. Therefore, we continue with this number. The product of 0.64 and 16 is equal to 10.24. We write the hexadecimal representation of 10 to the next digit. 006ab0faaa