10's Complement-Digital Electronics

10's Complement

To find 10's complement for a given number is very easy to do.Here we are going to discuss the rules to find 10's complement and then we will talk about an example.So let's get started.

Rules:

           1.   First, find 9's complement.

           2.   Add ' +1' with that 9's complement.

Formula:

                    10ⁿ -1

where n=number of digits

 ^{For Example:}

                         ^{452 is a given number.And we have to find the 9's complement of this.}

^{So, as mentioned above, we will count the number of digits. And here we see that there are 3 digits.}

^{Now we will use the mentioned formula.}

^{So the result will be:}  10ⁿ

where n=3

therefore the answer will be 999

Now we have to subtract 452 from 999.

Therefore 999-452=547

Thus we find 9's complement of a given number.

After finding this 9's complement we have to add ' +1' with that result.

Hence the answer will be: 547+1=548

Thus we find 10's complement of a given number.