Binary Number System - mbits-mirafra/digitalDesignCourse GitHub Wiki

Binary number system:

• A number system with base or radix 2 is called a binary number system.

• The binary number system uses only 2 symbols (0 and 1) to represent binary numbers.

• All modern digital devices like computers, combinational circuits, sequential circuits, etc. use the binary number system to operate.

Advantage:

1. The Binary Number System are also ease of use in coding:

   • Binary code can be easily converted to other number systems, such as decimal or hexadecimal, which are also commonly used in computer programming. This allows for flexibility and ease of use in a variety of programming applications.

2. Fewer computations and less computational errors.

   • Binary arithmetic is simpler: Binary arithmetic can be performed more quickly and with less chance of errors since there are fewer digits to work with.

   • Most digital systems, such as computers and microprocessors, use binary as their native language. This means that operations and calculations are performed in binary, which makes it more efficient to work with binary data rather than converting to decimal or hexadecimal and then back to binary.

   • Error correction is easier in binary: Error correction codes and techniques are often easier to implement and more effective in binary systems than in decimal or hexadecimal systems. This is because binary codes are simpler and more precise, making it easier to detect and correct errors.

1. Binary to Decimal Conversion

2. Binary to Octal Conversion

3. Binary to Hexadecimal Conversion