This calculator performs addition operations on hexadecimal numbers. The result is shown as binary, decimal and hexadecimal. A hexadecimal number is a number represented in base 16, where each digit can be one of 16 possible values (0 to 9 and A to F). Hexadecimal numbers are often used in computing, as they are more compact than decimal numbers and can be more easily converted to binary numbers.
Adding binary numbers is similar to adding decimal numbers, but with only two digits: 0 and 1. The steps to add two binary numbers are:
Align the binary numbers such that the least significant bits (LSBs) are vertically aligned.
Starting from the rightmost digit, add each pair of bits. If the result is 0 or 1, write it down. If the result is 2 (1 + 1), write down 0 and carry over 1 to the next column.
Repeat the process for each column until all columns have been processed.
Here's an example to illustrate the process:
1011
+ 1101
-----
11000
1. Align the binary numbers vertically:
1011
+ 1101
-----
1011
+ 1101
-----
11000
In the first column, the result is 2, which is written as 0 with a carry of 1. In the second column, the result is 1 + 1 + the carry, which is 3. This is written as 1 with a carry of 1. In the third column, the result is 1 + 0 + the carry, which is 2. This is written as 0 with a carry of 1. Finally, in the fourth column, the result is 1 + 0 + the carry, which is 1. This is written as 1. The result is 11000, which is the sum of the two binary numbers.
This process can be repeated for any number of binary digits, and the result will always be a binary number with the same number of digits as the longer of the two numbers being added.