Positional number systems

# Positional number systems - CGS 3269 Computer Architecture...

This preview shows pages 1–4. Sign up to view the full content.

CGS 3269 Computer Architecture Concepts Positional number systems 1.- Decimal number system 2.- Binary number system 3.- Hexadecimal number system 4.- Base conversions

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
CGS 3269 Computer Architecture Concepts Positional number systems When we need to write the number three hundred and twenty five using decimal digits we use the following sequence of digits: 325 What do we know about this number? It is written using decimal digits (a digit from 0 to 9 in decimal notation), which means that the base of the decimal number system is 10 ( the decimal system has ten symbols or digits ). Formally we can write 325 as: 3 x 10 2 + 2 x 10 1 + 5 x 10 0 = (3 x 100) + (2 x 10) + (5 x 1) = 300 + 20 + 5 = 325 Note that 10 0 = 1
CGS 3269 Computer Architecture Concepts Positional number systems Formally we can write 325 as: 3 x 10 2 + 2 x 10 1 + 5 x 10 0 = (3 x 100) + (2 x 10) + (5 x 1) = 300 + 20 + 5 = 325 Note that 10 0 = 1 By denoting the base of the system as b = 10, we can rewrite 325 as: 325 = 3 x b 2 + 2 x b

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 06/13/2011 for the course CGS 3269 taught by Professor Staff during the Spring '08 term at University of Central Florida.

### Page1 / 12

Positional number systems - CGS 3269 Computer Architecture...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online