example of binary multiplication
Answers
Answer:
For example, in the sentence "2 x 8 = 16," the "2 x 8" portion is the mathematical expression. The mathematical expressions doesn't include the answer, which is also known as the product. In the multiplication sentence "2 x 8 = 16," the two and eight are factors and 16 is the product.
I hope it's help you
Answer:
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:
0 × 0 = 0
0 × 1 = 0
1 × 0 = 0
1 × 1 = 1
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 Addition
Binary Division
Binary Subtraction
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 0-0 = 0 0÷0 = 0
0+1 = 1 0-1 = 1 (1 is borrowed) 0÷1 = 0
1+0 = 1 1-0 = 1 1÷1 = 1
1+1 = 0 (1 is carry forwarded) 1-1 = 0