Binary is a number system that uses only two digits: 0 and 1. It is known as a base-2 system, unlike the decimal system which is base-10 and uses digits 0 through 9
What is Binary?
- Binary digits are called bits (binary digits).
- Each bit represents a power of 2, with the rightmost bit being the least significant bit (LSB) and the leftmost bit being the most significant bit (MSB).
- For example, the binary number 1011 represents 1×23+0×22+1×21+1×20=111\times 2^3+0\times 2^2+1\times 2^1+1\times 2^0=111×23+0×22+1×21+1×20=11 in decimal
Uses of Binary
- Binary is the fundamental language of computers. All data in computers-text, images, audio, video, instructions-are represented and processed in binary form
- Computers use binary to perform calculations, store data, and execute commands.
- Binary coding is essential in hardware components such as CPUs, memory, and communication between devices
- It is also used in networking protocols (e.g., IP addresses, TCP/IP) and security mechanisms like HTTPS
- Binary arithmetic and logic underpin software development, digital electronics, and computer science in general
Summary
Aspect| Description
---|---
Base| 2 (digits 0 and 1)
Digits| 0, 1
Representation| Powers of 2
Uses| Computer data storage, processing, hardware operation, networking,
programming
Binary is essential because it aligns with the physical on/off states of electronic components, making it ideal for digital systems
. In essence, binary is a base-2 number system used primarily in computing and digital electronics to represent and manipulate data efficiently
