Binary Multiplication
Binary multiplication is one of the four binary arithmetic. The other three fundamental operations are addition, subtraction and division. In the case of a binary operation, we deal with only two digits, i.e. 0 and 1. The operation performed while finding the binary product is similar to the conventional multiplication method. The four major steps in binary digit multiplication are:

Note: The binary product of the two binary numbers 1 and 1 is equal to 1 only. And no additional number is borrowed or carried forward in this operation.
Based on the above specification, we will solve here the problems online based on the multiplication of binary numbers.
In this section, you will get answers for the questions about binary multiplication, including:
 What is Binary multiplication?
 Procedure to multiply two binary numbers
 Steps to Solve Binary multiplication using examples
What is Binary Multiplication?
The binary multiplication operation is actually a process of addition and shifting operation. This process has to be continued until all the multiplier is done, and finally, the addition operation is made.
Similar to the decimal system, the multiplication of the binary numbers is done by multiplying the multiplicand with the multiplier. It is noted that the multiplication by zero makes all the bits zero, and this step may be ignored in the intermediate steps. The multiplication by 1 makes all the multiplicand value unchanged.
Binary Multiplication Table
The multiplication table for binary numbers is given below.
Binary Number  Multiplication Value 
0 x 0  0 
1 x 0  0 
0 x 1  0 
1 x 1  1 
Also, read:
Binary Multiplication Rules
Binary multiplication, like other binary operations, is much easier, unlike the decimal multiplication when you remember the following multiplication rules. The rules of binary multiplication are:
 0 × 0 = 0
 0 × 1 = 0
 1 × 0 = 0
 1 × 1 = 1 [No borrow or carry method is applicable here]
As per these rules, it very clear, that if the binary multiplication includes 0, then it will result in zero itself. Hence,
Binary product of 0 and 0 is equal to 0
Binary product of 0 and 1 is equal to 0
Binary product of 1 and 0 is equal to 0
But,
Binary product of 1 and 1 is equal to 1.
To differentiate the rules for multiplication of binary numbers from other binary operations such as addition, subtraction and division, please refer to below given table:
Addition  Subtraction  Division 
0+0 = 0  00 = 0  0÷0 = 0 
0+1 = 1  01 = 1 (1 is borrowed)  0÷1 = 0 
1+0 = 1  10 = 1  1÷1 = 1 
1+1 = 0 (1 is carry forwarded)  11 = 0 
Examples of Binary Multiplication
Some binary multiplication examples are given below for a better understanding of this concept.
Example 1: Solve 1010 × 101
Solution:
1010 × 101
1010
(×) 101
—————–
1010
0000
——————
01010 ……. First Intermediate Sum
1010
——————–
110010
Comparison with Decimal values:
1010_{2 }= 10_{10}
1010_{2} = 5_{10}
10 x 5 = 50_{10}
(110010)_{2} = 50_{10}
Another example of binary multiplication with a decimal point is as follows:
Question: 1011.01 × 110.1
Solution:
Here, the decimal point is placed three places from the least significant bit. Because, the binary number 1011.01, the decimal point is 2 places from the LSB and 110.1 the decimal point is placed 1 place from the LSB.
Binary Multiplication Questions
Solve the belowgiven questions using multiplication rules, based for binary numbers.
 Multiply 10001 x 111
 Solve 10101 x 110
 Find the value of 11111 x 10000
For more information on binary operations like addition, subtraction, and division operations register with BYJU’S The Learning App and also watch exciting videos to learn with ease.
Frequently Asked Questions
What is Binary Multiplication?
Binary multiplication, unlike decimal subtraction, involves only two digits, i.e. 0 and 1. Visit BYJU’S to learn everything about binary multiplication.
What are the Rules of Binary Multiplication?
There are four rules of binary multiplication which are:
 0 × 0 = 0
 0 × 1 = 0
 1 × 0 = 0
 1 × 1 = 1
How to do binary multiplication?
110
X 100
——–
000
000
110
———
11000
———