Systemy Liczbowe: Konwersje i Zastosowania

This page delves deeper into systemy liczbowe (number systems) and their practical applications in informatyka (computer science). It focuses on conversion techniques between different bases and provides a comprehensive table for quick reference.

The page starts with more complex conversion examples:

Example: 1234₅ = 1·5³ + 2·5² + 3·5¹ + 4·5⁰ = 125 + 50 + 15 + 4 = 194₁₀

This example demonstrates the conversion from base 5 to decimal, reinforcing the general conversion formula introduced on the previous page.

A significant portion of the page is dedicated to a conversion table that shows the equivalence between decimal (0-15), hexadecimal (0-F), and binary representations:

Highlight: The conversion table provides a quick reference for translating between decimal, hexadecimal, and binary numbers from 0 to 15.

This table is particularly useful for understanding the relationship between these three important systemy liczbowe used in computer science.

Vocabulary: Hexadecimal (hex) - A base-16 number system using digits 0-9 and letters A-F.

The page concludes with a binary number:

Example: 1111000111001010₂

This binary number serves as a practical example for students to convert to decimal or hexadecimal, applying the techniques learned throughout the guide.

Understanding these systemy liczbowe and their conversions is crucial for various aspects of computer science, including:

• Digital logic design
• Computer architecture
• Data representation in programming languages

By mastering these concepts, students gain essential skills for working with systemy pozycyjne in informatyka, enabling them to tackle more advanced topics in computer science and digital systems design.