- Binary Multiplication Definition: Binary multiplication is a process of multiplying binary numbers, following specific rules for each bit.
- Fundamental Steps: There are four basic steps in binary multiplication that guide the process from start to finish.
- Example Calculation: Multiplying binary numbers involves step-by-step multiplication of bits and summing the results.
- Rules of Multiplication: Multiplying by 0 results in 0, and multiplying by 1 gives the original number.
- Applications: Binary multiplication is essential for digital electronics, such as creating the truth table for an AND gate.
How to Multiply Binary Numbers
Binary arithmetic includes four main operations: binary addition, binary subtraction, binary multiplication and binary division.
We have already discussed the binary addition and binary subtraction in detail in the previous articles now we are going to discuss binary multiplication in a detailed manner.
The binary number system uses only two digits, 0 and 1, so understanding how these digits interact during multiplication is crucial.
Like in the case of binary addition, in binary multiplication there are also four steps to be followed during a bigger multiplication or we can say these fundamental steps as well. These are:
As we can see that if we can compare these rules of binary multiplication with that of decimal multiplication we will not have any difference at all. So it is a comparatively easy method than the previously discussed two operations.
Let’s break down the binary multiplication process step by step for a clearer understanding.
Let us take two binary numbers A = 1001 and B = 101 we want to find out A × B
This is the first step in this step the least significant bit or the right most bit of B is multiplied with all the digits of A from the right side and the result is written.
Here the steps took place are 
Similarly in this step all the elements of A are respectively multiplied with the second most significant bit i.e. 0. From the table above we can see that any digit 0 or 1 when multiplied by 0, the result is 0 so all the elements in this step is 0. Now we will proceed to the next step.
In this step the left most digit of B which is 1 is multiplied by all the digits of A and the result is same as that of the first step.
Finally, we add all the intermediate results to get the final product of the binary multiplication, using binary addition for simplicity.
Now, where this binary multiplication method is applied in digital electronics. It is applied to calculate the truth table of AND gate which is also discussed in the different article.
