What Are Binary Numbers?
Binary numbers are the numbers used in computers and digital devices. Binary numbers are made up of just two digits: 0 and 1. Binary numbers are read from right to left, and each digit in the number has a different value based on its position. The rightmost digit has a value of 1, and each digit to the left has a value that is double the value of the digit to its right. For example, the binary number 101 is equal to 5 in decimal form. The rightmost digit, 1, has a value of 1, the next digit, 0, has a value of 2, and the leftmost digit, 1, has a value of 4. To calculate the decimal equivalent of a binary number, simply add up the values of each digit.
Adding Binary Numbers
Adding binary numbers is similar to adding decimal numbers. To add two binary numbers, you start with the rightmost digits and add them together. If the sum of these two digits is greater than 1, you carry the 1 over to the next column. You continue this process until you have added all of the digits. Let's look at a simple example. If we wanted to add the binary numbers 101 and 100, we would start with the rightmost digits, 1 and 0, and add them together to get 1. Since the sum is not greater than 1, we don't need to carry over a 1. Next, we add the second digits: 0 and 1. The sum of these two digits is 1, so we need to carry over the 1 to the next column. Now, we add the third digits, 1 and 0. Since the sum of these two digits is 1, we don't need to carry over a 1. So, the sum of 101 and 100 is 1011.
Subtracting Binary Numbers
Subtracting binary numbers is similar to subtracting decimal numbers. To subtract two binary numbers, you start with the rightmost digits and subtract the smaller number from the larger number. If the difference is less than 0, you borrow a 1 from the next column and add it to the smaller number. You continue this process until you have subtracted all of the digits. Let's look at a simple example. If we wanted to subtract the binary number 100 from 101, we would start with the rightmost digits, 0 and 1, and subtract the smaller number, 0, from the larger number, 1. Since the difference is 1, we don't need to borrow a 1. Next, we subtract the second digits: 1 and 0. The difference of these two digits is 1, so we don't need to borrow a 1. Now, we subtract the third digits, 1 and 0. Since the difference of these two digits is 1, we don't need to borrow a 1. So, the difference of 101 and 100 is 1.
Conclusion
Adding and subtracting binary numbers is a simple process that anyone can learn. All you have to do is remember the values of each digit and add or subtract the numbers from right to left. With a little practice, you'll be able to do it in no time!
