Arithmetic Operations on Binary Numbers
We can easily perform various operations on Binary Numbers. Various arithmetic operations on the Binary number include,
- Binary Addition
- Binary Subtraction
- Binary Multiplication
- Binary Division
Now let’s learn about the same in detail.
Binary Addition
The result of the addition of two binary numbers is also a binary number. To obtain the result of the addition of two binary numbers, we have to add the digit of the binary numbers by digit. The table added below shows the rule of binary addition.
Binary Number (1) |
Binary Number (2) |
Addition |
Carry |
---|---|---|---|
0 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
Binary Subtraction
The result of the subtraction of two binary numbers is also a binary number. To obtain the result of the subtraction of two binary numbers, we have to subtract the digit of the binary numbers by digit. The table added below shows the rule of binary subtraction.
Binary Number (1) |
Binary Number (2) |
Subtraction |
Borrow |
---|---|---|---|
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
Binary Multiplication
The multiplication process of binary numbers is similar to the multiplication of decimal numbers. The rules for multiplying any two binary numbers are given in the table,
Binary Number (1) |
Binary Number (2) |
Multiplication |
---|---|---|
0 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
1 |
1 |
Binary Division
The division method for binary numbers is similar to that of the decimal number division method. Let us go through an example to understand the concept better.
Example: Divide (101101)2 by (110)2
Solution:
Binary Number System
Binary Number System is a number system that is used to represent various numbers using only two symbols “0” and “1”. The word binary is derived from the word “bi” which means two. Hence, this number system is called Binary Number System. Thus, the binary number system is a system that has only two symbols.
There are generally various types of number systems and among them the four major ones are,
- Binary Number System (Number system with Base 2)
- Octal Number System (Number system with Base 8)
- Decimal Number System (Number system with Base 10)
- Hexadecimal Number System (Number system with Base 16)
Here, we are only going to learn about Binary Number System. This number system is very useful for explaining tasks to the computer. In the Binary Number System, we have two states “0” and “1” and these two states are represented by two states of a transistor. If the current passes through the transistor then the computer reads “1” and if the current is absent from the transistor then it read “0”. Thus, alternating the current the computer reads the binary number system. Each digit in the binary number system is called a “bit”.
In this article, we will learn about the Binary Number System, the Conversion of the Binary Number System, the Binary Table, the Operation of Binary Numbers, Examples, and others in detail.
Table of Content
- Binary Number System
- Binary Number Table
- Binary to Decimal Conversion
- Decimal to Binary Conversion
- Arithmetic Operations on Binary Numbers
- 1’s and 2’s Complement of a Binary Number
- Uses of Binary Number System
- Binary Number System Example