Chapter 2 Help Page

10100 is a binary number which is equal to 20
in decimal .
See the following procedures on how to convert  a 
binary  to a decimal  number.
 

  1 X 2n-1 = 1 x 25-1 = 1 x 24   =  16  

  0 X 2n-2 = 0 x 25-2 = 0 x 2=   0

  1 X 2n-3 = 1 x 25-3 = 1 x 2=   4

  0 X 2n-4 = 0 x 25-4 = 0 x 2=   0

  0 X 2n-5 = 0 x 25-5 = 0 x 2=   0 
  _____________________________________________
                                                    20
             

 n

 4=n-1

 3=n-2

 2=n-3

 1=n-4

 25-1 = 24

 25-2 = 23

25-1 = 22

25-4 = 21

25-5 = 20

16

8

4

2

1

20 is a decimal number which is equal to10100 binary
See the following procedures on how to convert a  
decimal to a binary  number. 

The largest power of 2 that fits on 20 is 24
  1 x 2=  16   fits  20-16=4
  0 x 2=   0   does not fit 8>4
  1 x 2=   4   fits   4 - 4=0
  0 x 2=   0 does not fit 
  0 x 2=   0 does not fit

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         10100