Align digits, add place by place, carry over if needed; and use A-F for values beyond 9 in hexadecimal addition.
Adding numbers in base 16 (hexadecimal) follows similar principles to adding numbers in base 10 (decimal), but instead of using digits from 0 to 9, hexadecimal uses digits from 0 to 9 and letters A to F to represent values from 10 to 15.
Here are the steps to add numbers in base 16:
Write down the numbers vertically: Align the numbers to be added vertically, lining up the corresponding place values (units, sixteens, etc.).
Perform addition from right to left: Start adding from the rightmost digit (units place). Add the digits in each place value, starting from the right, just like in decimal addition.
Handle values greater than 9: If the sum of digits in a place exceeds 9 (since hexadecimal includes letters), use the letters A to F to represent values 10 to 15, respectively.
Carry-over: If the sum in a place value exceeds 15, carry over the sixteens value (or "1" in decimal) to the next higher place value.
Continue until all digits are added: Proceed leftward, carrying over as necessary, until all place values are added.