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Overview

Explore the Curriculum

Instructional Strategies

Introduction to Computers
Circuits and Switches
Digital Information
Microprocessors
The Internet
Technology and Society
Digital Information
Lesson 4: Binary Numbers
 
Lesson 1: What Is Binary Code?
Lesson 2: A Bit of This and That
Lesson 3: How Computers Work with Pictures
Lesson 4: Binary Numbers
  Activity 1: Decimal and Binary Numbers
  Activity 2: Number Conversion Chart
Lesson 5: Adding Binary Numbers
Lesson 6: ASCII, An Alphabet For Computers
Lesson 7: Can You Go To The Movies?

Binary Counting
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Counting in Binary Numbers
The binary system that computers use to store and process information is a base 2 system. It needs only two symbols, 0 and 1. In fact, "binary" comes from the Latin word for two. Compare this to the decimal system you use. The decimal system is a base 10 system. ("Decimal" comes from the Latin word for ten.) It has 10 symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).

So how do you count in a binary system? How do you represent numbers like 103?

103 expressed in the place values of the decimal system


In decimal (base 10) numbers, you have a 1s place, a 10s place, a 100s place, and so on, to represent value.

103 expressed in the place values of the binary system

The binary system has places or columns too. Only because you're in base 2, instead of each place being 10 times greater than the place before it, each place is only double (2 times) the one before it.





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