NUMBER SYSTEM

Decimal System

Binary System

Binary System

We use two digits in this system (0,1) just like the existing system of computers ..

And write the number in the form of bilateral (10011)

Example\

=1 + 0 +0 +8 +16

= 25

0 1 2 3 42(10011) 1*2 0*2 0*2 1*2 1*2

2

Example

(1001101)2 1x20+0x21+0x22+1x23+1x24+0x25+1x26

=(89)10

Binary System

(10011) = 1 0 0 1 1

1 2 4 8 16

= 25

2

Another solution

Find (1001101)2 1 2 4 8 16 32 64 128 1 0 0 1 1 0 1

Whole numbers above the figure 1

1+8+16+64=89= (89) 10

Decimal System

We use this system ten numbers (0123456789)

Example\

0 1 2 3

1987 7 80 900 1000

1987 7*10 8*10 9*10 1*10

Converting from Decimal System to Binary System Example \ ? 1

0

1

1

10(13)

13 \ 2 6

6 \ 2 3

3 \ 2 1

1\ 2 0

10 2(13) (1011)

Example\ find

45 1

22 0

11 1

5 1

2 0

1 1

0

(101101)2

10(45)

Converting from Decimal System to Binary System

Decimal System

Binary System

00

11

210

311

4100

5101

Bonus

How to write the number 1235.58 the Image

(1235.58) 10

Example

(001111) (100001) (1230) 10

(125) 10

(19) 10

22

Example

Select the number system you are working on each of the following \

1- water meter2- watch3- computer