1. Understanding the Number Decimal to Binary Conversion

2. Key Points
Binary is a number system represented by numeric values two numbers, 0 and 1.
The binary system is used internally by all modern computers.

3. Cont’d Key Points What is 27? What is 28 ? Understand Powers of 2
20 =1
21= 2
22= 2*2=4
23=2*2*2=8
24=2*2*2*2=16
25=2*2*2*2*2=32
26=2*2*2*2*2*2=64
What is 27?
What is 28 ?

4. Decimal to Binary Conversion Table
Steps
1. Draw up your binary placement table. This table is just like the Decimal placement chart except that you multiply by 2 rather than by 10. 64 32 16 8 4 2 1 26 25 24 23 22 21 20

5. Steps
2. Write out the binary value you want to convert to decimal in the table starting with the right most value. For example: 11002 64 32 16 8 4 2 1 26 25 24 23 22 21 20

6. Steps 3. Add all the values in the top row that has a 1 under it. 6432 16 8 4 2 1 26 25 24 23 22 21 20
There we will add 8 and 4
8+4=12
The answer is 12 or 1210

7. Class Activity Convert the following binary to decimal. A) 1111 B)1011