be studied in the philosophy department Communication Digital Representation of Data Ingredients Data Compression Error correction Encryption Secret Sauce Morse Code Musical Note Code 1 ID: 679183
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Slide1
A Bit about Bits
Shouldn’t “information theory”
be studied in the
philosophy department?Slide2
CommunicationSlide3
Digital Representation of DataSlide4
Ingredients:
Data Compression
Error correction
Encryption
Secret SauceSlide5
Morse CodeSlide6
Musical
Note
Code 1
C
00
E
01
G
10
C+
11
Musical noteFrequencyCode 2C1/21E1/8001G1/8000C+1/401
Data Compression
C E C (C+) C G C (C+)Encoding #10001001100100011Encoding #210011011000101Slide7
Error Correction
Insert four bits of
information:
abcd
.
Choose
e
,
f
, and
g so that each circle sums to an even number.The new sequence is abcd
efg.abcdSlide8
Use “secret key
” to hide information.
Pair each bit of information with a bit of secret key.
If the secret key bit is ‘1,’ flip the information bit. Otherwise leave it alone.
Example:
Message: 010110
Secret Key: 110011
Result: 100101
EncryptionSlide9
Code
Message
Code
Message
0000
John
1000
Jessica
0001
Dorothy
1001Sarah
0010Lydia1010Beth0011Cynthia1011Colleen0100Lisa1100Gene0101Cecilia1101Roelie0110Stacey1110Cathy0111Carolyn
1111
LoriEncryption gameSlide10
How far can we push these magic tricks?Entropy, entropy, entropy
Other topics:
Learning
Sensing
Recognizing patterns.
Information Theory