Use our Binary Subtraction Operation, a free online calculator / conversion tool to subtract two binary values. A Binary number system has only two digits that are 0 and 1. The base of binary number system is 2, because it has only two digits.

The rules for binary subtraction are

0 - 0 = 0

1 - 1 = 0

1 - 0 = 1

10 - 1 = 1 with a borrow of 1

Let's understand the process used in the binary numbering system for subtraction. There are four possible cases of single-bit binary subtraction:

0 – 0

0 – 1

1 – 0

1 – 1

As long as the value being subtracted from (the minuend) is greater than or equal to the value subtracted from it (the subtrahend), the process is contained in a single column.

But what happens in the one case when the minuend is less than the subtrahend? As in decimal, a borrow must be taken from the next most significant digit. The same is true for binary.

Pulling 1 from the next highest column in binary allows us to add 10_{2} or a decimal 2 to the current column. For the previous example, 10_{2} added to 0 gives us 10_{2} or a decimal 2. When we subtract 1 from 2, the result is 1.

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