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Binary ppt tr

1. 1. Binary Numbers So what are they and why are they important?
2. 2. Decimal System vs. Binary System <ul><li>The Decimal System is a Base 10 system. That simply means it uses 10 symbols. </li></ul><ul><li>(0,1,2,3,4,5,6,7,8,9) </li></ul><ul><li>The Binary System is a Base 2 system. It only uses 2 symbols. (0 and 1) </li></ul>
3. 3. Binary in Computing <ul><li>Necessary for only 2 symbols because computers/ electronics recognize only: </li></ul><ul><li>“ ON” (represented by 1) </li></ul><ul><li>or </li></ul><ul><li>“ OFF” (represented by 0) </li></ul><ul><li>For computers, this 2 symbol system is crucial because it increases speed, memory and utilization </li></ul><ul><li>These binary digits (“0” and “1”) are known as “bits” </li></ul>
4. 4. Understanding Binary <ul><li>In the decimal system, let’s take the number: 150 for example: </li></ul><ul><li>the “ones” column is represented by 0 </li></ul><ul><li>The “tens” column is represented by 5 </li></ul><ul><li>The “hundredths” column is represented by 1 </li></ul><ul><li>As we go from right to left, the columns represent increasing powers of 10. Ones to tens, tens to hundredths, etc . </li></ul>
5. 5. Understanding Binary <ul><li>However, the Binary Number System, from right to left increases in powers of 2. </li></ul><ul><li>(128, 64, 32, 16, 8, 4, 2) </li></ul><ul><li>So, since we can easily figure out the value of each column: we can deduce what the number is judging by whether there is a “1” (yes to that value) or “0” (none of that value) in that column. </li></ul>
6. 6. Binary numbers <ul><li>Let’s take the binary number: 10 </li></ul><ul><li>The column on the far right is the 1 column and the 0 indicates no value present. </li></ul><ul><li>The column on the left is the 2 column and the “1” means there is a value of 2 present. </li></ul><ul><li>So 10 in binary (remember this reads as 1 and 0, not “ten”) = 2 in the decimal system. </li></ul>
7. 7. Binary Numbers <ul><li>Now’s let’s watch a brief video to better understand how to convert the numbers from binary to decimal and vice versa. </li></ul><ul><li>Binary Numbers in 60 seconds: http://www.youtube.com/watch?v=qdFmSlFojIw&NR=1 </li></ul>
8. 8. Binary System Lesson Plan
9. 9. References <ul><li>“ Binary Numbers” image retrieved from http://atgfw.com/data.html . </li></ul><ul><li>Video retrieved on 9/18/2011 from: http://www.youtube.com/watch?v=qdFmSlFojIw&NR=1 . </li></ul><ul><li>Website retrieved on 9/18/11 from: http://www.kerryr.net/pioneers/binary.htm . </li></ul><ul><li>Website retrieved on 9/19 from: http://homepage.ntlworld.com/interactive/ . </li></ul><ul><li>Website retrieved on 9/19 from: http://www.math.grin.edu/~rebelsky/Courses/152/97F/Readings/student-binary . </li></ul><ul><li>Website retrieved on 9/19 from: http://www.helpwithpcs.com/courses/binary-numbers.htm . </li></ul><ul><li>Website retrieved on 9/19 from: http://www.state.nj.us/education/cccs/standards/8/index.html . </li></ul>