The Hex Calculator is a powerful online tool used to perform addition, subtraction, multiplication, and division on two hexadecimal numbers. This hex calculator online provides step-by-step solutions for all hexadecimal arithmetic operations, making it perfect for programmers, students, and digital electronics enthusiasts.
What is a Hexadecimal Number?
To calculate hexadecimal number is a number expressed in the hexadecimal positional numeral system with a base of 16, which uses sixteen symbols: the numbers from 0 to 9 and letters A, B, C, D, E, F. Where A, B, C, D, E, and F are single-bit representations of decimal values 10 to 15. Hexadecimal uses a four-bit binary code. Our decimal to hexadecimal calculator helps you convert between these number systems easily. This hex decimal calculator is very simple to calculate.
Hexadecimal to Decimal Conversion With Steps is Shown Below:
Hexadecimal: 0 1 2 3 4 5 6 7 8 9 A B C D E F
Decimal: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Hex Addition Calculator
Our hexadecimal addition calculator performs hex addition just like decimal addition. The only difference is the added numerals A, B, C, D, E, and F. It may be convenient to transform the hex numbers to the decimal system when the values are greater than the number 9. Below is an example of a hex addition calculator.
Hexadecimal Addition Calculator with Steps
Step 1: In the example above, E + 7 in decimal is 14 + 7 = 21. 21 in decimal is 15 in hex.
Step 2: Just like decimal addition, the 1 carries over to the next column.
Step 3: The next column works out to be 1 + B (11) + 5 = 17 in decimal and 11 in hex.
Step 4: Carry over the 1 to the final column, resulting in 1 + 6+ E (14) = 21 in decimal and 14 in hex.
Result: This yields the final result of 1515 in hex.
Hex Subtraction Calculator
Hex subtraction can be calculated in the same way as decimal subtraction, but the big difference is 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 in hex than 10 in decimal. Below is an example of a hex subtraction calculator.
Hexadecimal Subtraction With Steps
Step 1: In the first column, 7 is smaller than E, or 15 in decimal. So we need to borrow from the next column.
Step 2: This reduces the 5 to 4, and lends 1, or 16 decimal to the first column, i.e., 16 decimal + 7 decimal - E or 14 in decimal = 9.
Step 3: Now, in the second column, 4 is smaller than B (11). So again, we need to borrow from the next column.
Step 4: This reduces the E to D, and lends 1, or 16 decimal to the second column, i.e., 16 decimal + 4 - B or 11 in decimal = 9.
Step 5:The Last column requires no borrowing, making the calculations simple, D or 13 in decimal – 6 = 7.
Result: This yields the final result of 799.
Hex Multiplication Calculator
Hex multiplication is a tricky process because the conversions between hex and decimal tend to be larger. Our hex calculator with steps shows each multiplication step clearly, making it easy to understand and verify results.
Hexadecimal Multiplication With Steps
Step 1: 2 × B (11 in decimal) = 22 that is 16 in hex
Step 2: 2 × C (12 in decimal) = 24 that is 18 in hex
Step 3: A (10 in decimal) × B (11 in decimal) = 110 that is 6E in hex
Step 4: A (10 in decimal) × C (12 in decimal) = 120 that is 7E in hex
Hex Division Calculator
Division in hex is identical to division in decimal, except that we need to convert hex to decimal and perform long division in decimal, then convert back once complete. A hex division calculator example is given below.
Hexadecimal Division With Steps
Step 1: Convert the hexadecimal dividend to decimal
Step 2: Convert the hexadecimal divisor to decimal
Step 3: Perform long division in decimal
Step 4: Convert the result back to hexadecimal
Frequently Asked Questions
⇥ Why is a hexadecimal number used in programming, and what does it mean?
Base 16 is used to represent hexadecimal numbers with digits 0–9 and letters A–F, where A=10, B=11, C=12, D=13, E=14, and F=15. Because each hex digit corresponds to precisely four binary bits, it is frequently used in programming to represent color codes and computer memory addresses.
⇥ How can two hexadecimal numbers be added together?
Hexadecimal addition functions similarly to decimal addition, but when the total exceeds F (15 in decimal), you carry over.
For instance, 15 hex (1 carry + 5) is equal to E + 7 = 14 + 7 = 21 decimal.
⇥ Why does hexadecimal subtraction differ from borrowing?
When you borrow from the following column in hex subtraction, you're borrowing 16 (not 10, as in decimal). This is because each column position represents 16 times the value of the column to its right. After all, hexadecimal is base 16.
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The bitwise calculator can calculate bitwise AND, bitwise OR, and bitwise XOR (exclusive or) operations. This tool allows you to input two numbers in binary, octal, and decimal number systems and outputs the result in all those numeral systems.
To use this Hex to ASCII calculator, type a hex value into the Hex box and hit the Convert button. Similarly, you can convert ASCII to Hex. If you are looking for a calculator to perform other arithmetic calculations using Hex numbers, then check out this Hex calculator, which can help you with addition, subtraction, multiplication, and division of Hex numbers.
This calculator is made to calculate the bit shift operation between two bits. This bit shift calculator lets you execute bit shifts to the left and bit shifts to the right. These logical operations can be easily done by binary, octal, and decimal number systems, and the calculator gives the results in binary, Decimal, and Hexadecimal numbers.
