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lec01_f08 - d\10 «30> “0.000 0 00:00 0.5 m.5>:0 0...

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ESP—m .3 .n— ..—00n_ ....0t0.0 05:00.. 0.8.2.0.. 0: 0.0.". :38... .b 0 © 5.00: .3338 .0 0.05.. 3.0.0 .80 mom. 2 05.00.02. 080 . 0.“ .0 .0." 043.00.. 0.0.0 wow .2 2\. \m r mm:_m> wsozcucoo 32:33.: “9: $0329 moficm B comoaao mm Am¢m§o> 26. was :9: $353233 co m; ccm MS cosmsco>£ 328:”. 32:3:mE $0329 .355 .83 {Cm—.5 >c>> V mfltmnoa can 280 mEEEm: 67mg: 3 3.5 v16 o . . uwchEm a :o_w.o>:oo ".mE_uoumxw;._Boo.>._w:_m 8a 868; u SN V «9 GT . 38. aoafid: .mcqamom cccéocJ‘ N am mme _>_ —. . "Smuwiiihsch 000. n .333 as n SN 23 v; . ‘ 350:0 295m Auv 9532.. E25 V 2N r: .mN .NN .FN .oN ”N “—0 2950a. mntoEwE $3230 3 w>oEm=u 5030365 «0».th >3 99.n— wfizP—E AHV mgmmmmhax¢ AHV wmm—nmu, 53C. 8:333 29% .mox #02 .mo dz< «Ema-m 53.25 8. 9:5 332], OFFFchFcFFFoFoF ”$83 3 .295 5.2 a £2on 5552 :98 < , :ozowtoo “Em :33"..me ._o._._¢ 60.55% 250 $.80 $3.8.N .E 3:8: 552.2 .8 9:80 Adam .95 Egg 2053:3933. 33:52 6.82:: sows mguoo 255225.? 35 w u 33 . H55 ESE .2 20ng :m . 382.3 .mé 6:. Ucm wb “—0 mmEbw. 39:06.30 62:302.”: 22363 3300 56:5 5 umuoocm 2m w_onE>m a 62.noozm >m<z_m :83 £5 .8 mute» moon _ mi m y REPRESENTATION OI: ALPHANUM‘ERIC CHARACTERS # of characters 26 .letters: # of bits needed a-z 62 alphanumeric characters: 2’: I39 7. a-z, A-Z, 0-9 94 characters: 62 alphanumeric + 32 symbols (,,@,*,) 7-bit ASCII encodes 94 characters 4-34 control characters ' What'if we add an 8th bit (use one byte .pjfer symbol)? d_\® add extra character's _ _ 2. para-g Sit {w error choking: . 1. Goal is to allow computers to represent,tEXtijexpreSSed in any of the world’s writing systems. Using 2 bytes, we can 'encod-e' UNICODE; 9 symbols..- 3‘“ '1; ff. .2 \m _ _ mExowco .520 Log - ouoolm¢oézolu _ . memmo Lox - beam? EoEmowfi oatmco £3 2.53 5.5nt .5“ - wooo >55 g no: GEES—Ego 3* - EoEmEEoo ma . "mcosmganm 2:0on .5". “ Flam. 8: 33 Au 8w um . a a + a AV «.mmooxo 88 EISSFS Au $8 semis 3:925 5 :8 cm $225 82903.. 25: 32. Soc A" omN 2:5 An m "mom .. g 1059:... ainfav cméomuéwuooémgaddm ou,=._. 33:323.. m_ :Eo. some . Imoooo Eczema .«yukmwme~mw_ . MHMo o . a o . ulIvosru o. W .fl 36¢ xm: .500 .325 2 Saw .2580 p 09.»... .9...» .9 «pm v ”Tm ._ owmm 53.82 m: :o woconoo :EU a po o:_m> . 90¢.fl Izozmyo: .mcoEmom :osmflaam 9.: :o moconoo oo_o:o .moEosom >55. «23:5: “commie. 25 on 26: d. w \m 1.41 a. 5 cs —~uw< “‘I" I”! u 1*. 4 855:0 mm; =ow< 3:8. .28 um. o h 29.952000 *0 :3 >5“. :mmzsm: , &. wocfimfi E:E_:_E u wuoo a ”8 3555 0 Q. .l .3 Q m_ .9 gm .9 :33on 038$: C .__om< 5:8. 28 5 am 3:5 >2: €23 5 22:80. I :n *0 33:5: n $33030 5033: RENEE . a mnunnnnnnnnnuuu—a D . mamanunnnnnnnnnnn L X X T K L u E T F. T. R :w>o m_ m._. “.0 33:5: . 52m: :o>o :60 m_ m. _. u.o 32:5: - 3:8..qu Satan. R o F . Au :3 “2. :_ 2:30 3.: E E 38 2 _ o m mm mnnunnuunnunnnu-n . .00. o: . 1:0. 5m 5 938 SE mm . 'IIIIIIIIQ, . . R C 5 A C J L «3282 m_ HES 63:53:: E A3 38 or 3 u: m m we mn-n-"flflnu-n-nnn . _ M m Enigma—=2— :Esd 5:; ... m mm mwn—nmnn—nn-H—nun _ _ c A _ age: :22. ago: a M mm ---m--mm-mmmm 3:8. :03 Em. .28 :0: ":84. W mm h B4BaBzB 0000 001 0 01 1 1 1 001 1 1 01 £0th “5.? 83% on :a bra: m :omflm :wto mmuoo moz<._.m_n_ Dz< >._._m<n_ moodsmn\m a is represented as 1100001 A is represented as 1 011 1 1 0 an vawnrgumuw a: $2.5 9: “02.60 32009. :mo \ . . . .. 3.9 co... a} 22.6 9: “0329 5280.. :m0 _ o . _ ,. . Eo_mw_Ew:mb mES—u :3 En E @5000 3.20 t .0052: 202.593 :0. “'0on :oEmQEOO 00...... < 00 2&3me 8960 5:8 3 . 8mm .05 «.355 ._ . baggy...“ xz<mEo n=<m ‘mofimOm .wj dwkk. ZmZCUC. gamma Ayu .wouoo Ego—goo EN mam: >3 uwm: m .d r w . "298 335995 a “more? .3 em 33 m 2: he «.2393 $5 om .25 .35 .9? 2m .35 m 9: ho N 2388 :2: cm was .35 2V :9: .556: m mEm: coucmmmam: 2m 35% =< Av :9: 355; m me: 6033030.. 96 35% =< .c occfir m crave o oocrr m crave a carer v Focvo a carer v Facro w ergo? m cvrco 0 w oFch m crvcc h roger N Force H h Fcccfl N Fmgoo m carve F vrcoc ~ 0 carve r Fflcoc on mice m-n_o-So.N . mnoo m-u_o.So.~ «901QO elaslzoos 8 OF ,THE USA TOP MALE GYMNASTS (2008) 3 “$30013 3 “‘3 ”3:33 a: + :55: Competitor Code A Code B Code C Artemev 000 000000 0000 Bhavsar 001 001001 0011 Hagerty 010 010010 0101 Hamm, M. 011 011011 0110 Hamm, P. 100 100100 1001 Horton . 101 101101 1010 Spring 110 110110 1100 Tan 111 111111 0 1111 : cannot mat IR co.“ etc-ted»? 2‘ an mm- a, \ 66? WW WHO IS FROM Uofl? 000000000 221221221 010010010 011011011 ~ 100100100 g 101101101 ;;\ 11.01.191.12. 111111111 com Attack 1 l-SQ'MOY—‘S cm wot q l-GCt-exrc/v LET’S AGREE TO USE CODE C: SUPPOSE YOU RECEIVE 1101 Can you detect that an error occurred? Can you correct the error? l.e., do you know what I (probably) sent? yes no Assume the probability of 2-bits wrong is much less than the probability of 1- bit wrong. (And the probability of 3 bit errors is much less than the probability of 2 bit errors, etc.) I probably sent 0101', 1001, 1111, or 1100 - meaning the correct answer is either 01 0, 100', 1 11, or 110. are wrong (or else more than that 110 is the correct anSWer é \ ‘1 T’S USE CODE D: SUPPOSE YOU RECEIVE 110110100. Can you detect that an error occurred? ~ can you correct the error? ...
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