PptxGenJS Presentation

[Virtual Presenter] Number systems form an essential part of computer architecture and digital technology. Computer architecture is the design and structure of a computer system, while digital technology is the manner in which we utilize and communicate through computers. Number systems provide computers with their essential building blocks, giving us the capability to process digitally with precision and speed. In this presentation, I will investigate the various number systems, their fundamental principles, and the ways in which they make it possible for us to construct powerful digital technology. Let us now go on a journey together into the exciting world of number systems and computer architecture..

[Audio] Number systems are fundamental to computer architecture and digital technology. The most commonly used system is the decimal system, which is base 10 and comprises of the numbers 0 to 9. Computers use binary, which is a base 2 system of 0s and 1s, as it is their language for interpreting information. Hexadecimal is base 16, consisting of numbers 0-9 as well as letters A-F, and is beneficial in reducing the length of long binary numbers and for storing large chunks of data since it is stored in bytes..

Decimal Number System. The decimal number system is a base-10 system that uses the digits 0–9 to represent numbers. It is the most commonly used system for representing and manipulating numbers in modern mathematics. Here are some characteristics of the decimal number system: Each value in the number system has a place value of power 10. Each digit has a value based on its position, called place value. The decimal system also requires a dot (decimal point) to represent decimal fractions..

[Audio] The binary number system is the foundation of all digital systems. Consisting of two digits, 0 and 1, it enables logical operations and numerical representation. Its straightforward implementation in digital circuitry has made it the chosen method of communication in modern computers and devices, as it is easier than alternatives and unaffected by interference. Were it not for the binary number system, digital technology as we know it likely wouldn't exist..

[Audio] Octal number system is an invaluable tool in computer programming, a base-8 number system that simplifies binary data representation by dividing digits into sets of three. It utilizes 8 symbols, namely 0, 1, 2, 3, 4, 5, 6 and 7 to represent any number, with the lowest two-digit number 10 equivalent to decimal 8. It boasts immense power and utility in digital technology..

[Audio] Hexadecimal number system is a significant part of digital technology. It originates from the Latin word "hex" which means six and is based on sixteen symbols (0-9, A-F) to depict huge binary integers. Hexadecimal number system holds a base value of sixteen and each digit is given a decimal value. This system enables proficient representation of huge binary numbers which leads to larger capacity for data storage and data processing..

[Audio] Number systems are fundamental to modern computer architecture and digital technology, enabling data to be represented, converted and manipulated. The way values are represented and its readability and interpretation depends on the number system, while some offer a more compact representation than others, such as binary or hexadecimal, which requires less memory and makes operations simpler. The capability of transforming numbers from one system to another is necessary in programming, in order to ensure compatibility and use resources properly..

[Audio] Number systems are fundamental to computer architecture and essential for digital technology. They are used for memory addressing, logic design, and data encoding. Memory addressing allows memory addresses to be assigned, improving data storage and retrieval. Binary number system is a key requirement for Boolean algebra and digital circuits. Additionally, number systems facilitate data encoding and compression for storage and transmission across different applications..

[Audio] Number systems are a vital element of computer architecture and digital technology. This slide compares Ones Complement and Twos Complement. Ones Complement is where each bit of a binary number is reversed - 0s become 1s, and 1s become 0s. Twos Complement is a more complicated system where the ones complement is done and afterwards 1 is added to the number. Both of these number systems are essential in how digital technology works..

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