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Binary!. 0010100100110010010101. Why do computers use binary?. Easy to detect the state of a switch – they’re either on or off! Using another base makes computers more prone to error. Counting. In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1. 0. Counting.

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Binary

Binary!

0010100100110010010101


Why do computers use binary
Why do computers use binary?

  • Easy to detect the state of a switch – they’re either on or off!

  • Using another base makes computers more prone to error.


Counting
Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

0


Counting1
Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

1


Counting2
Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

10


Counting3
Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

11


Counting4
Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

100


Counting5
Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

101


Counting6
Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

110


Counting7
Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

111


Counting8
Counting

In decimal (base 10), we have digits 0-9. In binary, we only have digits 0 and 1.

1000


Places
Places

1011

1’s


Places1
Places

1011

2’s


Places2
Places

1011

4’s


Places3
Places

1011

8’s


Places4
Places

4853

100

1011

20


Places5
Places

4853

101

1011

21


Places6
Places

4853

102

1011

22


Places7
Places

4853

103

1011

23





Translating binary to decimal3
Translating Binary to Decimal

1011

8 +

0 +

2 +

1



Translating binary to decimal5
Translating Binary to Decimal

10001110

Answer: 142


Zorah s favorite things about binary
Zorah’s favorite things about Binary

Adding is the easiest. EVER.

100101

110110

1


Zorah s favorite things about binary1
Zorah’s favorite things about Binary

Adding is the easiest. EVER.

100101

110110

11


Zorah s favorite things about binary2
Zorah’s favorite things about Binary

Adding is the easiest. EVER.

100101

110110

011


Zorah s favorite things about binary3
Zorah’s favorite things about Binary

Adding is the easiest. EVER.

100101

110110

1011


Zorah s favorite things about binary4
Zorah’s favorite things about Binary

Adding is the easiest. EVER.

100101

110110

11011


Zorah s favorite things about binary5
Zorah’s favorite things about Binary

Adding is the easiest. EVER.

100101

110110

011011


Zorah s favorite things about binary6
Zorah’s favorite things about Binary

Adding is the easiest. EVER.

100101 37

110110 54

1011011 91


Zorah s favorite things about binary7
Zorah’s favorite things about Binary

Dividing by 2 is neat-o

101100

44


Zorah s favorite things about binary8
Zorah’s favorite things about Binary

Dividing by 2 is neat-o

010110

22


Zorah s favorite things about binary9
Zorah’s favorite things about Binary

Dividing by 2 is neat-o

001011

11


Zorah s favorite things about binary10
Zorah’s favorite things about Binary

Dividing by 2 is neat-o

000101.1

5.5


Zorah s favorite things about binary11
Zorah’s favorite things about Binary

Dividing by 2 is neat-o

00010.11

2.75


Zorah s favorite things about binary12
Zorah’s favorite things about Binary

You can count to, like, a bajillion on your fingers in binary.

Try it. I know you want to.


Binary

“There are 10 types of people in the world: those who understand binary and those who don’t.”