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Phil Schleihauf
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recurse center <3
⚠ technical digression ⚠
<3 feedback
"Decimal"
"Base 10"
"Decimal"
"Base 10"
first weird thing: from now on, we will start counting at zero
"decimal"
"base 10"
something interesting happens here!
"base 9"
"base 9"
"octal"
"base 8"
POWER
OF TWO!
"base 3"
drumroll...
"binary!!!!!!!!"
"base 2"
POWER
OF TWO!
Decimal | Binary |
---|---|
0 | 0 |
1 | 1 |
2 | 10 |
3 | 11 |
... |
Decimal | Binary |
---|---|
0 | 0 |
1 | 1 |
2 | 10 |
3 | 11 |
4 | 100 |
5 | 101 |
6 | 110 |
7 | 111 |
8 | 1000 |
9 | 1001 |
10 | 1010 |
11 | 1011 |
12 | 1100 |
13 | 1101 |
14 | 1110 |
15 | 1111 |
16 | 10000 |
0000 |
0001 |
0010 |
0011 |
0100 |
0101 |
0110 |
0111 |
1000 |
1001 |
1010 |
1011 |
1100 |
1101 |
1110 |
1111 |
eg: 9201
place | name |
---|---|
1 | "ones" |
10 | "tens" |
100 | "hundreds" |
1000 | "thousands" |
⚠ technical digression ⚠
eg: 9201
place | name |
---|---|
1 | "ones" |
10 | "tens" |
100 | "hundreds" |
1000 | "thousands" |
= 9000 + 200 + 0 + 1
= 9201
⚠ technical digression ⚠
eg: 9201
place | name | aka |
---|---|---|
1 | "ones" | 100 |
10 | "tens" | 101 |
100 | "hundreds" | 102 |
1000 | "thousands" | 103 |
= 9000 + 200 + 0 + 1
= 9201
⚠ technical digression ⚠
place | name | i.e. |
---|---|---|
1 | "ones" | 2 0 |
10 | "twos" | 2 1 |
100 | "fours" | 2 2 |
1000 | "eights" | 2 3 |
0 | 0 |
1
|
1
|
10
|
2 |
11 | 3 |
100 | 4 |
101 | 5 |
110 | 6 |
111 | 7 |
1000 | 8 |
1001 | 9 |
1010 | 10 |
⚠ technical digression ⚠
eg: 1001
place | name | i.e. |
---|---|---|
1 | "ones" | 2 0 |
10 | "twos" | 2 1 |
100 | "fours" | 2 2 |
1000 | "eights" | 2 3 |
= 8 + 0 + 0 + 1
= 9
⚠ technical digression ⚠
eg: 0111
place | name | i.e. |
---|---|---|
1 | "ones" | 2 0 |
10 | "twos" | 2 1 |
100 | "fours" | 2 2 |
1000 | "eights" | 2 3 |
= 0 + 4 + 2 + 1
= 7
⚠ technical digression ⚠
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, …
⚠ technical digression ⚠
add some new digits here!
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, 10, 11, …
⚠ technical digression ⚠
12, 13, 14, 15, 16, 17, 18, 19, 1A, 1B, 1C, 1D, 1E, 1F, 20, …
… 99, 9A, 9B, 9C, 9D, 9E, 9F, F0, F1, F2, …
… F9, FA, FB, FC, FD, FE, FF, 100, 101, 102, …
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, 10, 11, …
⚠ technical digression ⚠
12, 13, 14, 15, 16, 17, 18, 19, 1A, 1B, 1C, 1D, 1E, 1F, 20, …
… 99,
9A, 9B, 9C, 9D, 9E, 9F,
A0,
A1,
A2,
…
… F9, FA, FB, FC, FD, FE, FF, 100, 101, 102, …
POWER
OF TWO!
breadboard wiring:
↜
↝
(Object #1)
Ailadi, 2018
Raphael Lozano-Hemmer (2011)
Raphael Lozano-Hemmer (2011)
(foreshadowing snacks!)
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P |
00000010000001100000011100001111
0
1s
2
4s
1
2s
3
8s
8
256
9
512
10
1024
17
131,072
18
262,144
25
33,554,432s
= 33,949,455 :/
4
16s
…
…
…
…
…
…
Every number is made of
exactly 8 bits (1s and 0s)
The highest number is only 255!
11111111 = 1 + 2 + ... + 127 = 255
00000010000001100000011100001111
00000010 00000110 00000111 00001111
= 2
= 6
= 7
= 15
= C
G
H
P ?????
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P |
0=[NUL] 1=[SOH] 2=[STX] 3=[ETX] 4=[EOT] 5=[ENQ] 6=[ACK] 7=[BEL] 8=[BS] 9=[HT] 10=[LF] 11=[VT] 12=[FF] 13=[CR] 14=[SO] 15=[SI] |
16=[DLE] 17=[DC1] 18=[DC2] 19=[DC3] 20=[DC4] 21=[NAK] 22=[SYN] 23=[ETB] 24=[CAN] 25=[EM] 26=[SUB] 27=[ESC] 28=[FS] 29=[GS] 30=[RS] 31=[US] |
32=" " 33=! 34=" 35=# 36=$ 37=% 38=& 39=' 40=( 41=) 42=* 43=+ 44=, 45=- 46=. 47=/ |
48=0 49=1 50=2 51=3 52=4 53=5 54=6 55=7 56=8 57=9 58=: 59=; 60=< 61== 62=> 63=? |
64=@ 65=A 66=B 67=C 68=D 69=E 70=F 71=G 72=H 73=I 74=J 75=K 76=L 77=M 78=N 79=O |
80=P 81=Q 82=R 83=S 84=T 85=U 86=V 87=W 88=X 89=Y 90=Z 91=[ 92=\ 93=] 94=^ 95=_ |
96=` 97=a 98=b 99=c 100=d 101=e 102=f 103=g 104=h 105=i 106=j 107=k 108=l 109=m 110=n 111=o |
112=p 113=q 114=r 115=s 116=t 117=u 118=v 119=w 120=x 121=y 122=z 123={ 124=| 125=} 126=~ 127=[DEL] |
---|
1960s
dec | hex | binary | ascii |
---|---|---|---|
65 | 0x41 | 0b01000001 | A |
66 | 0x42 | 0b01000010 | B |
67 | 0x43 | 0b01000011 | C |
68 | 0x44 | 0b01000100 | D |
69 | 0x45 | 0b01000101 | E |
70 | 0x46 | 0b01000110 | F |
71 | 0x47 | 0b01000111 | G |
72 | 0x48 | 0b01001000 | H |
73 | 0x49 | 0b01001001 | I |
74 | 0x4A | 0b01001010 | J |
75 | 0x4B | 0b01001011 | K |
76 | 0x4C | 0b01001100 | L |
77 | 0x4D | 0b01001101 | M |
78 | 0x4E | 0b01001110 | N |
79 | 0x4F | 0b01001111 | O |
dec | hex | binary | ascii |
---|---|---|---|
80 | 0x50 | 0b01010000 | P |
81 | 0x51 | 0b01010001 | Q |
82 | 0x52 | 0b01010010 | R |
83 | 0x53 | 0b01010011 | S |
84 | 0x54 | 0b01010100 | T |
85 | 0x55 | 0b01010101 | U |
86 | 0x56 | 0b01010110 | V |
87 | 0x57 | 0b01010111 | W |
88 | 0x58 | 0b01011000 | X |
89 | 0x59 | 0b01011001 | Y |
90 | 0x59 | 0b01011010 | Z |
H
E
L
L
O
01001000 01000101 01001100 01001100 01001111
dec | hex | binary | ascii |
---|---|---|---|
65 | 0x41 | 0b01000001 | A |
66 | 0x42 | 0b01000010 | B |
67 | 0x43 | 0b01000011 | C |
68 | 0x44 | 0b01000100 | D |
69 | 0x45 | 0b01000101 | E |
70 | 0x46 | 0b01000110 | F |
71 | 0x47 | 0b01000111 | G |
72 | 0x48 | 0b01001000 | H |
73 | 0x49 | 0b01001001 | I |
74 | 0x4A | 0b01001010 | J |
75 | 0x4B | 0b01001011 | K |
76 | 0x4C | 0b01001100 | L |
77 | 0x4D | 0b01001101 | M |
78 | 0x4E | 0b01001110 | N |
79 | 0x4F | 0b01001111 | O |
dec | hex | binary | ascii |
---|---|---|---|
80 | 0x50 | 0b01010000 | P |
81 | 0x51 | 0b01010001 | Q |
82 | 0x52 | 0b01010010 | R |
83 | 0x53 | 0b01010011 | S |
84 | 0x54 | 0b01010100 | T |
85 | 0x55 | 0b01010101 | U |
86 | 0x56 | 0b01010110 | V |
87 | 0x57 | 0b01010111 | W |
88 | 0x58 | 0b01011000 | X |
89 | 0x59 | 0b01011001 | Y |
90 | 0x59 | 0b01011010 | Z |
???
00000010 00000110 0000111 00001111
[stx]
00000010 00000110 00000111 00001111
[ack]
[bel]
[si]
????
0=[NUL] | 1=[SOH] | 2=[STX] | 3=[ETX] | 4=[EOT] | 5=[ENQ] | 6=[ACK] | 7=[BEL] |
---|---|---|---|---|---|---|---|
8=[BS] | 9=[HT] | 10=[LF] | 11=[VT] | 12=[FF] | 13=[CR] | 14=[SO] | 15=[SI] |
Mark Stone/University of Washington
David Meerman Scott
washington.edu/news/2018/07/02/critical-fabulations/
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Reverb, LLC
philips electronics
⚠ technical digression ⚠
text: it�s hard
11011000 00111100 11011111 11000011 00100000 00001101 00100110 01000000 11111110 00001111 → 🏃♀️
11011000 00111100 11011111 11000011 11011000 00111100 11011111 11111110 00100000 00001101 00100110 01000000 11111110 00001111 → 🏃🏾♀️
even more
Nitcha Fame Tothong (2018)