binary!( - courses.cs.washington.edu...
TRANSCRIPT
![Page 1: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/1.jpg)
Binary! 0010100100110010010101
![Page 2: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/2.jpg)
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.
![Page 3: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/3.jpg)
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
0
![Page 4: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/4.jpg)
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
1
![Page 5: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/5.jpg)
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
10
![Page 6: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/6.jpg)
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
11
![Page 7: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/7.jpg)
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
100
![Page 8: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/8.jpg)
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
101
![Page 9: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/9.jpg)
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
110
![Page 10: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/10.jpg)
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
111
![Page 11: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/11.jpg)
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
1000
![Page 12: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/12.jpg)
Places
1011
1’s
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Places
1011
2’s
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Places
1011
4’s
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Places
1011
8’s
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Places
1011 20
4853 100
![Page 17: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/17.jpg)
Places
1011 21
4853 101
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Places
1011 22
4853 102
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Places
1011 23
4853 103
![Page 20: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/20.jpg)
TranslaCng Binary to Decimal
1011
1
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TranslaCng Binary to Decimal
1011
1 2 +
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TranslaCng Binary to Decimal
1011
1 2 + 0 +
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TranslaCng Binary to Decimal
1011
1 2 + 0 + 8 +
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TranslaCng Binary to Decimal
101100
Answer: 44
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TranslaCng Binary to Decimal
10001110
Answer: 142
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Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
1
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Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
11
![Page 28: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/28.jpg)
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
011
![Page 29: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/29.jpg)
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
1011
![Page 30: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/30.jpg)
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
11011
![Page 31: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/31.jpg)
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
011011
![Page 32: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/32.jpg)
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 37 110110 54
1011011 91
![Page 33: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/33.jpg)
Zorah’s favorite things about Binary
Dividing by 2 is neat-‐o
101100 44
![Page 34: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/34.jpg)
Zorah’s favorite things about Binary
Dividing by 2 is neat-‐o
010110 22
![Page 35: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/35.jpg)
Zorah’s favorite things about Binary
Dividing by 2 is neat-‐o
001011 11
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Zorah’s favorite things about Binary
Dividing by 2 is neat-‐o
000101 .1 5 .5
![Page 37: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/37.jpg)
Zorah’s favorite things about Binary
Dividing by 2 is neat-‐o
00010 .11 2 .75
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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.
![Page 39: Binary!( - courses.cs.washington.edu fileCounng(In(decimal((base(10),(we(have(digits(0J9.(In(binary,(we(only(have(digits(0(and(1.(((((0](https://reader030.vdocument.in/reader030/viewer/2022020417/5e07b3117bb4ee5a4720ae68/html5/thumbnails/39.jpg)
“There are 10 types of people in the world: those who understand binary and those who don’t.”