Binary Numbers

Binary numbers are well suited for use by computers, since many electrical devices have two distinct states: on and off. They are the numbers computers themselves understand. Composed entirely of zeros and ones, they express all values in powers of two.

The advantage of the binary system is that you only need two symbols (0 and 1) to express any number, no matter how big it is. Since computers are basically just large groups of switches, and since these switches can only be either on or off, binary system fits right in; you just define 0 as off and 1 as on and then binary numbers tell the computer which switches to throw.

The table below shows some numbers written in binary and decimal form. Note that writing numbers in binary requires more digits than writing numbers in decimal.

 

Decimal

Binary

Decimal

Binary

0

0

11

1011

1

1

12

1100

2

10

13

1101

3

11

14

1110

4

100

15

1111

5

101

16

10000

6

110

17

10001

7

111

18

10010

8

1000

19

10011

9

1001

20

10100

10

1010

 

 

 

 

 

 

VOCABULARY

 

Well suited= well appropriate = bem adequados, aprorpiados

In powers= em potências

No matter= não importando

Since= uma vez que

Switches= chaves

Either ... or= ou ... ou

Fits = suits = é adequado, apropriado.