eleanor roosevelt high school chin-sung lin. man invented machines…… extended the power of...
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Binary World(Digital World)
Eleanor Roosevelt High School
Chin-Sung Lin
Man invented machines……
extended the power of muscle
Man invented computers……
extended the power of brain
The World of 1 and 0
Digitization
Digital Technology
The World of 1 and 0
Digitization
Digital Technology
Binary Numbers
The world of 1 and 0……
…... starts from counting……
represent “2” by “00110”
represent “5” by “11111”
represent “7” by “00011”
represent “3” by “?????”?
How many numbers can be represented by 5 fingers?
Answer: 32 numbers
2 x 2 x 2 x 2 x 2 = 25 = 32
00000 ----- 0
Binary Numbers
00001 ----- 1
00010 ----- 2
00011 ----- 3
00100 ----- 4
00101 ----- 5
00110 ----- 6
00111 ----- 7
01000 ----- 8
Binary Numbers
01001 ----- 9
01010 ----- 10
01011 ----- 11
01100 ----- 12
01101 ----- 13
01110 ----- 14
01111 ----- 15
Binary-to-Decimal Conversion
Binary-to-Decimal Conversion
3 2 0 1 ----- 3201
0 1 0 1 ----- 5
101 100102103
21 202223
3 x 103 + 2 x 102 + 0 x 101 + 1 x 100 = 3000 + 200 + 0 + 1 = 3201
0 x 23 + 1 x 22 + 0 x 21 + 1 x 20 =0 + 4 + 0 + 1 = 5
Binary-to-Decimal Conversion
1 0 1 0 -----1 x 23 + 0 x 22 + 1 x 21 + 0 x 20 = 8 + 0 + 2 + 0 =
21 202223
Binary-to-Decimal Conversion
1 0 1 0 ----- 101 x 23 + 0 x 22 + 1 x 21 + 0 x 20 = 8 + 0 + 2 + 0 = 10
21 202223
Binary-to-Decimal Conversion
1 1 1 1 -----1 x 23 + 1 x 22 + 1 x 21 + 1 x 20 = 8 + 4 + 2 + 1 =
Binary-to-Decimal Conversion
1 1 1 1 ----- 151 x 23 + 1 x 22 + 1 x 21 + 1 x 20 = 8 + 4 + 2 + 1 = 15
Binary-to-Decimal Conversion
1 0 0 1 -----1 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 8 + 0 + 0 + 1 =
Binary-to-Decimal Conversion
1 0 0 1 ----- 91 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 8 + 0 + 0 + 1 = 9
Binary-to-Decimal Conversion
1 1 0 1 ----- 1 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 8 + 4 + 0 + 1 =
Binary-to-Decimal Conversion
1 1 0 1 ----- 131 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 8 + 4 + 0 + 1 = 13
Decimal-to-Binary Conversion
Decimal-to-Binary Conversion
7Decimal: 7
Binary:
Decimal-to-Binary Conversion
7 2Decimal: 7
Binary:
Decimal-to-Binary Conversion
7
3
2Decimal: 7
Binary:
1
Decimal-to-Binary Conversion
7
3 2
2Decimal: 7
Binary:
1
Decimal-to-Binary Conversion
7
3
1
1 2
2Decimal: 7
Binary:
1
Decimal-to-Binary Conversion
7
3
1
1 2
2Decimal: 7
Binary: 1 1 1
1
Decimal-to-Binary Conversion
1 4Decimal: 1 4
Binary:
Decimal-to-Binary Conversion
1 4 2Decimal: 1 4
Binary:
Decimal-to-Binary Conversion
1 4
7
2 0Decimal: 1 4
Binary:
Decimal-to-Binary Conversion
1 4
7 2
2 0Decimal: 1 4
Binary:
Decimal-to-Binary Conversion
1 4
7
3
1 2
2 0Decimal: 1 4
Binary:
Decimal-to-Binary Conversion
1 4
7
3
1 2
2 0Decimal: 1 4
Binary: 2
Decimal-to-Binary Conversion
1 4
7
3
1 2
2 0Decimal: 1 4
Binary:
1
1 2
Decimal-to-Binary Conversion
1 4
7
3
1 2
2 0Decimal: 1 4
Binary: 1 1 1 0
1
1 2
Decimal-to-Binary Conversion
2 5Decimal: 2 5
Binary:
1
Decimal-to-Binary Conversion
2 5
1 2
6
3
1
0
0
2
2
2
2
Decimal: 2 5
Binary: 1 1 0 0 1
1
Decimal-to-Binary Conversion
2 4 0Decimal: 2 4 0
Binary:
0
2
1
Decimal-to-Binary Conversion
2 4 0
1 2 0
6 0
3 0
1 5
7
3
1
1
1
0
0
2
2
2
2
2
2
Decimal: 2 4 0
Binary: 1 1 1 1 0 0 0 0
0
Binary Arithmetic
0 0 1 0 1 ----- 5
+ 0 0 0 1 0 ----- +2
0 0 0 1 1 ----- 3
Binary Addition
0 1 0 0 0 ----- 8
+ 0 0 0 1 1 ----- +3
0 0 1 0 1 ----- 5
Binary Addition
1 0 0 0 0 ----- 16
+ 0 0 1 1 1 ----- +7
0 1 0 0 1 ----- 9
Binary Addition
0 0 0 1 0 ----- 2
- 0 0 1 0 1 ----- -5
0 0 1 1 1 ----- 7
Binary Subtraction
0 0 1 1 1 ----- 7
- 0 0 0 0 1 ----- -1
0 1 0 0 0 ----- 8
Binary Subtraction
0 0 1 1 1 ------ 7
- 0 0 0 1 1 ----- -3
0 1 0 1 0 ----- 10
Binary Subtraction
Hexadecimal Numbers
0 1 2 3 4 5 6 7 8 9 A B C D E F
Number Systems
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7
0 1
Hexadecimal
Decimal
Octal
Binary
Hex Numbers
0 0 0 0 ----- 0
0 0 0 1 ----- 1
0 0 1 0 ----- 2
0 0 1 1 ----- 3
0 1 0 0 ----- 4
0 1 0 1 ----- 5
Hex Numbers
1 0 1 0 ----- A
1 0 1 1 ----- B
1 1 0 0 ----- C
1 1 0 1 ----- D
1 1 1 0 ----- E
1 1 1 1 ----- F
Binary-to-Hex Conversion
00110001 ----- ?
00110001 ----- ?
00110001 ----- 31H
00110001 ----- 31H
Binary-to-Hex Conversion
01011100 ----- ?
01011100 ----- ?
01011100 ----- 5CH
01011100 ----- 5CH
Binary-to-Hex Conversion
11011010 ----- ?
11011010 ----- ?
11011010 ----- DAH
11011010 ----- DAH
Hex-to-Binary Conversion
34H ----- ?
34H ----- ?
34H ----- 00110100
34H ----- 00110100
Hex-to-Binary Conversion
A2H ----- ?
A2H ----- ?
A2H ----- 10100010
A2H ----- 10100010
Hex-to-Binary Conversion
FBH ----- ?
FBH ----- ?
FBH ----- 11111011
FBH ----- 11111011
ASCII Code
Binary Characters
00111111 --- ?
00100100 --- $
01100101 --- e
01000001 --- A
ASCII Code
Binary Switches
Binary Switches
Binary Switches
Binary Switches
Binary Switches
Binary Switches
The World of 1 and 0
Digitization
Digital Technology
Black and white image
Digitization
Black and white image
Digitization
Black and white image
Digitization
Gray level image
Digitization
Gray level image
Digitization
Digitization
0000
00010010
00110100
01010110
0111
1000
1001
1010
Digitization
10011100101010010010001001110001000100011010010100101011001001001
1,000 x 1,000 x 4 =
4,000,000 (bits)
Digitization
Color image
Digitization
10011100101010010010001001110001000100011010010100101011001001001
10011100101010010010001001110001000100011010010100101011001001001
10011100101010010010001001110001000100011010010100101011001001001
Digitization
Color video
Digitization
Sound
1001110010101001001000100111000100010001101001010010101100100100110011100101010010010001001110001000100011010010100101011001001001
Digitization
Shape
Motion
Relation
Digitization
Digital information
Digitization
10011100101010010010001001110001000100011010010100101011001001001100111001010100100100010011100010001000110100101001010110010010011001110010101001001000100111000100010001101001010010101100100100110011100101010010010001001110001000100011010010100101011001001001
Digital instruction
Digitization
10011100101010010010001001110001000100011010010100101011001001001100111001010100100100010011100010001000110100101001010110010010011001110010101001001000100111000100010001101001010010101100100100110011100101010010010001001110001000100011010010100101011001001001
Digital tools
Digitization
Digital world
Digitization
The World of 1 and 0
Digitization
Digital Technology
Titan super computer: 18,688 CPUs paired with an equal number of GPUs to perform at a theoretical peak of 27 petaFLOPS
Digital Technology
High-speed computation
Weather forecasting
Digital Technology
Pharmaceutical research
Digital Technology
Flight simulation
Digital Technology
Animation
Digital Technology
NSA Utah Data Center has storage capacity between 3 and 12 exabytes
Large amount storage
Digital Technology
The Indexed Web contains at least 3.81 billion pages (Thursday, 19 September, 2013)
Global connection
Digital Technology
Digital Technology
Digital life
Digital Technology
Digital life
Digital Technology
Digital life
Digital Technology
Digital life
Digital Technology
Digital life
Digital Technology
Digital life
Digital life
Digital Technology
Digital life
Digital Technology
The World of 1 and 0
Digitization
Digital Technology
Q & A
Binary World