Understanding the Number Decimal to Binary Conversion

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Presentation transcript:

Understanding the Number Decimal to Binary Conversion

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.

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 ?

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

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

Steps 3. Add all the values in the top row that has a 1 under it. 64 32 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

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