There are two ways to convert binary numbers (01) to base numbers (0,1,2..9). The first way is through a chart.

27

26

25

24

23

22

21

20

128

64

32

16

8

4

2

1

So if you are trying to convert 11010100 it would look like this:

 

27

26

25

24

23

22

21

20

128

64

32

16

8

4

2

1

 1              1                0            1             0              1             0             0            =212

The 1′s and 0′s are like switches. 1 means the switch is on and 0 means the switch is off.

The second way is through an equation. For example if you are trying to convert 11010100 it would look like:

 

1*27+1*26+0*25+1*24+0*23+1*22+0*21+0*20=212

 

 

 

Word Size

 

 Word size is the number of bits that a CPU can process at one time. Processors with many different word sizes have existed though powers of two (8, 16, 32, 64) have predominated for many years. A processor’s word size is often equal to the width of its external data bus though sometimes the bus is made narrower than the CPU (often half as many bits) to economise on packaging and circuit board costs.

 

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