1. The Understanding of Binary Math & Conversion
By: David Paehlke

2. Base 10 Numbers Compared to Base 2 Numbers
Base 10 numbers are 0 through 9 which are Decimal Numbers
Base 2 numbers are 0 and 1 which are Binary
Numbers
0 means off
1 means on

3. Names for Groups of Binary Digits
One binary digit equals a bit
Four binary digits equals a nibble
Eight binary digits equals a byte

4. Converting Binary to Decimal For Our Understanding
We use the number line:
Check Out This Site:
A tutorial on binary numbers

5. Question #1: What are the digits for Binary? 0 through 9 0 and 1
0 through 9 and A through F

6. So Sorry!
Time for Review

7. CONGRATULATIONS!

8. The structure of Binary Digits
Typically we work with 8 bits, a byte when dealing with binary numbers with computers and networking.
The biggest number we can have is when all 8 bits are 1’s.
Like this: = 255
Which is:
= 255

9. Let’s Practice Converting Decimal to Binary
Take the decimal number 128 and convert it to Binary using our number line. Place a 0 for off and a 1 for on to equal 128.
So in binary = 128 in decimal

10. Let’s try another one Let’s take the decimal number 149.
Just add the numbers together that have a 1
= 149

11. Here is one more Convert decimal number 231 to binary
= 231

12. Quiz Time! What is the decimal number 179 in binary? A. 10110011

13. OOPS!!

14. YOU ARE ABSOLUTELY CORRECT!

15. Now That You Can Convert From Decimal To Binary, Let’s Try Converting From Binary To Decimal
As long as you can remember the number line you learned earlier, you should have no issues with this conversion.

16. Let’s Try One
Let’s take the binary number and convert it to decimal
We have: = 170

17. Here is Another One The Binary number is 11110001 Our number line is:
= 241

18. Here is a website for more information on converting Binary to Decimal

19. Let’s try another example
Let’s take and convert it to decimal
We have = 110

20. I Believe it is Time for a Quiz Question
Convert to Binary
A. 201
B. 176
C. 199
D. 198

21. I am so Sorry, but that is incorrect

22. BRAVO! You Are Good

23. CONGRATULATIONS!!
You Have Completed the First Step in Learning Binary Math and Conversion with Binary and Decimal