Binary subtraction calculator
This binary subtraction calculator accepts two binary numbers as inputs, performs the subtraction, and outputs the result in binary format.
This binary subtraction calculator accepts two binary numbers as inputs, performs the subtraction, and outputs the result in binary format.
Binary subtraction is similar to decimal subtraction, but it is performed using only the digits 0 and 1. Here's how to perform binary subtraction step by step:
Write the binary numbers to be subtracted under each other with the least significant bit (the rightmost bit) aligned.
Start from the rightmost bit and perform the subtraction. If the first bit is 0, simply write down 0 as the first bit of the result. If the first bit is 1, borrow 1 from the next bit to the left. To do this, change the next bit from 0 to 1, and write down 10 (2 in decimal) in the first position.
Repeat this process for each bit, until you reach the leftmost bit.
Here is an example:
1101 (13 in decimal) - 1010 (10 in decimal) ---------- 0011 (3 in decimal)In this example, we perform binary subtraction digit by digit starting from the rightmost bit. The first bit is 1 - 0, which is 1. The second bit is 0 - 1, so we borrow 1 from the next bit, making it 1 - 0 + 10 = 10 (2 in decimal). The next bit is 1 - 0 + 1 = 10 (2 in decimal). Finally, the leftmost bit is 1 - 1, which is 0. The final result is 0011, which is 3 in decimal.
Note: When borrowing, you can think of it as adding the number 2^n to the next bit, where n is the number of bits to the right of the current bit.