ruilflmill[ililililil;

ea B. l 0- . r l l " , , 1en.o ' : ) .

oe ( \ l : c"e ' o | ' ' , , ' 1q)

nt un2t, ;zonLLG] I fi.i l6 A? wl,|ntlvun-)qtiotl'i't.l

6r il }. lfin.0[iJ (Y"s N" qL%ron) ,v{r.'])Ut.t{: l{

O n i}.Ldlvl6lofO rF r', O[LhL rLL rq]LL loyl-vl . 4 F I

.6rLrvdr ln rs.rncL 2' 16 . r l l " l rn. , ! lot ' t 'dt l

"!rinn4l 8 "ldv6o'lair' fir'lritri orarsio'i - rnnir a"hi

rialrir'flr1ri ararsiail "llnnir c 1fu6alsiu" ufir; , - . - - - i -unrylun")ut.raNqlrqlqa:r$.Jani.rotnT lr 4 cNr.rlrauafl

t un) t.litrJalqta Lvt unlualu||1 tala'tu,)t{14 nt1tlt1l

lvr.r!fix!61i'rudo.r* a vdn niu firrnuniu6rufin z

ntll]ait1lu 011I A1n ll,,ll.lflll.luOeJnle.ll4OnraclqlrAooo;."

u t91t l0tN. uo!.nYlt i t tuod t t"nvt0t&. tNdutuo)l lYt1

j vF1 ,flr,.l .l.{hdr.nfild:n;!. 1-lv x.ri95 l,;.lu Bra'ol

- r " ,1 ! -l..l lq?lCll] O6-lClnuq-ln qClAli K6Ma-L 9aiA.:f 'ltlEl1,l

^y4.:[or.]o11e] elTn6.: t!an o nTouall't91 tyll\un'tua'tu drn. ' j

lnf in to 1€. l t ! dn!d]di :utvnMtdi tnMl]nto o !u1, tot : | ! ]

tolyrdofrLn.huf;Lt ,i3. L 0o.ln !. L\?lti4ct: L'. I

Cr14. ' !e1'- l$ t rvr t l lut , ) { Lr lofn.a o. ' Tlp^. Y. .

( odp I bFo"v l tq ' { . iMaL

t l ]1- lUclUd t tdt ! . .1 t t lUUl

o sro-tflot5 ll,!-yoi]u! cl u unu uo.i'l lJDutvo0inl5Ltn

layrrll fl1iofi 6-l ls.r fi o': l,.ri riai n r i r{r:fiaia er a

nqL:oLn- l i L" iO. |A.OO [v&l l ] 1 L51tuO rt 6{ r f l l l lYlo. &

rlSou'r rr anr er lo {16uurauuvdti6nr:r{r:riso:roi!Ba;*fi'lgiofi oua']e (Errorcorreciins Code) niavr

r 6. ! -AtaaElla.! tn?l Fr1 iunu

d*'n"'*'n-}3l/f r ioXafinrufiavrsro r io

dr.l'.t9t1't nt1'! n't aluoa jn'ttan.l0r.l6ru1 ta16"rt{

. {L i 1010 tun:6n" !"n"Li .p:- n l {z l r11r!dr)d i : -9r l

- i -9\ t n " 1 ly lG "1rL'" l l . t i r , t l lL 0 , t l l lv q1.do 0

d!loioal0tr.]611 f)v,tato n1uflt1{unlu o& 1r..1915'ta6{a!

udr. t t d 1,t Fl t t ' r i i lo1l0' .d?tt , l6 r l € [ e. ] i1 l '6?un!

ntlt nl ^a:]'I

acstaiotflada1l.llo&au]a !l 9t1!flo!

" ) ! . . . z . " . -1O'!AnO5j n-lqo.jo'rr]10rya na1u LlneJ 10 oll !!6'tloliJ

-z z .rirqo! l&q,r:.!iu1l'.r to oii un a:.lq:fi0crili usiri'r, : . )^

tanr lndadltonxral lu ' l | f i i r f l i t nha:Jnoo1lsl1tat l rJ

MY 'ljlAIHS

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Z . Z a ) aqn t1]usd:n, l tvuf l f lqt ' Mtal ldtu6 t ' i i l tota '8td to

?ltluuucluollrJr.lu [n loanl ]'t iuonaln o1lr.l 1111i La iu

or,lr.r'i]!fi a6aro.Jdanyl,,] .!6iodlr

toroo ---------' loooo-p#frf!toroo ----+ totoo

\

?r./r_, lilsriioffi r{da:r6li Aira to

^^. lc r- i'lI[-u11.:'tu'l6y1,ti lunal$u!]a]111-t6adt:til]l]uoan15

rfilioGrixada! ? fr z drras 0 filirriu6aiqoilqaa!fr

1{lt[1\un']uoll-ld?t.11Dt -t toelStlaqno.il?rJn! nlllun'tua,^a, ^ ,z

,lati'll .!ar]61,l![YtQl.io0l0Na {1E]:..Io 4 llsttt'f[1,]'l1,tu tlat

lo dv1 5 l ls eJql ldl I r lu i u.1' lc r ( . r . :ql) ' - ,1r '

?oqlaonfl 6mlo Ylr.r'],lniI r{n1uEiar.] llalna?-r3.r€l1'u.r!.ro

^xa-f [nof lus _ t l t4 'B 1!ou (0 ) ,d1 0 d.,ol) [ [06i tJ1,

Ln.lun:Lr.ror,6{ r r:nYt6r 'fitor."fior.a

o t io rl,rrre

tor1.1)u?ar | f rd! iJ l r i .dL.r Lrr"6i 6rf l18.rdrtr ' .#$.1: qs s

" q , . S .

ll,\d1d tyu- d?1,1F cfl0alde.n ty anol.i .to!{n.1\Ln'tun tu

s o!nAl e l![6r r.hLn:ur, orrir r '16.i L Juo6'Jor r].fr

9tn6in1{t1 a{oaull.iuu lQ to!]Iu 1o&auo otA 'Jdl\i[no0[ lTlLn .14Ol] ll Oltlll,{O lSrlv 3 6llllU

n u11!qa3Ja ol,r6to 2 qlr ?

loloo -------+ uooo

\

?rr J na{4x611! owa1o 2 :ro

w, E , , ; ^etuh€l tL6l'.tlx"o1uI rt ll.14eJt oql'tifi a!.y{u tlio

t6 !rlriar:rr:o qrr'rr aarorrr ftolr aronroidid un

- i ' , lB l1, l_ 11,1v'dL : O0 lv r ' l tn l l lY$. *d! Fl r l lLtel i l l :n t t{ : :a " - :d' d i utlttd )u [1rr ,.lrrifi" [vi" 1.rix"[:.xi !6afia.at

- . : -.d!.FEr t.Gid' ].i.t;9 r s ni6r rrfr:lilqe: .q.,,rU I i9t

t t i i ' twlU), 1? 4._O1At c1' lA G . .01[3.51 lLhotwd e 1${

lltoill-t tu o-tttl4un Lf]A-

! Ft Ft a t$n11$Jo?1& oo !x6't o1l10.t! asll':q60!l€t!1tl

^ i^tlO1,,lA'lOlill9l'lttl4ll.illOllhA OlOOA Richdd HamminB

tylol,lllr.l'Utd: ( laudF Shdnor ,.r t0 fL 1U_ Ulaltr lll f I

u?in{qlJAd'rrdu!r€1 (Infornat ion Theory) i f ia.i r i

^ : .

UAl]qn]1 Ll . l d .1. . c l ' . .C0 0UYIX'1{011.1&W(A.L

nqufi ar:aumorfl uu.-rr.iraoiyninfi qroraoS6i-ry5:.lnr:

fr oam d:rfiifr '16'sr::11fi nfr rorrl.ldrd4rarn'nvrua:ui'la{aft orororo.r{a4a'Lunrr6oar: rrur6ofirlaafiufr d.!

| . ' :c. lc l rr ld ot! l (dv?Ar Lo 11"x, &. r t ." iv6{f l teJ'

(HammiDs Code)E : evfirrrfr{o4aair r fior uac ldrfi&r{r}!6n m iql

5':&tllu n: m+r !q $Cl !rytuu?U (nj r) [[6rnr m llslz " a^ \ . - zt[l,td't r.]'tto! a n 9t't tt141,N ?t t,tofl aa o [o oiuu 2- > n+1

t ' r f iy l " q Lrrr l i . - : r ," o eid.Au.aau'h

laiod&nrt (2? r > 7+1) fi!1clo11,]11!fld1&1-nd+r.t1)taqe rz. r' n'a r:ruffht"fior' o r fisr'16 I'rfii5r 'r ld)l f arrerrr D- D" D- D. c-o{";]o"ir J:u p

P, Pr Od1]A,.]d11 tdtytrJtlt ulUll,ll]qtjtt1to

D7 D6 D5 D3 10ua

D? Ds D:r nr)!ri P,

D7 Dd D3 nrr{ e,D? D6 D" n1x!d Pl

r, ahrarn l- n, uaz n3, p, dhiatn D7 D6 [!av r]3, p1

dh{qrn Dr D6 uav D, d'rorofr6'aruerndirarrr{ : Eo- , i . q , . l

alq nl : tul i )nt tuunlt \ r l | f l 4 n r i drJno,) [oGr,)MLr) ,w-.)ul6uuudo.mvrh lliiiemlros-lnfia! 1 dlul6uu!!!an ldu

i o" .rl i 'urn'rlf p, ..av p .dfi, 6 o nFuu

i!'!ir lf p p. u"r p .dtuu r"rion lv.rFauo-r.6u,r

v:.nuor,tll'i-lfirq ryfirriuror ryirfiufr ujd eru42 MY MATHS Apdrroos

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t '

{li

ritdladr.larn-!-1fr r ur n Luniu6.ru6ornrd.r r0r0'hiunrnuniuaror dtrindi-r.riiidi,lfi {d.rqrrr.r

lvfl 4

firialafr unnauniudrud.r'trlff ol fi e1{arorfi oItu r icr unrwuniuzuorarl-nnr.iriofi olraroriurn:u11r' l i .aro leu r)c. . {dal f " r r : j . : i , , i r : . ; ' i s

:r/ri r 6'rotirmrirdrdl

ri,.nu-iunarldb rooooro iu*;*,taa." o_ l.u D 1l ' t l ) idol l l ]qt l l i ty5,?i 611' . .d) [ t ]5u11.y1.. 1

Pr P" P, i$'ntx#r uriqdrud.irr'lfi Toaarqu,Eutlrfra!

d drq:ifiufidrrflu o firsirrfiuficirriu r (iur rr rogrcc-av'.ci rf,ui r xoR, . "c'tLEi n1lfi 5 ui !wun:Lr,,r&r,r!r'jr pr ir p,'talar5.ri11 rfiaqorrl.Lgrlfi r aiua*1afl16'iui.. o, c'"ic,jf;.,ra , vi..nr"'5uiluu uri ar"r" nnrr XOR io]n-r?seo{ditralilgo,tnluniudrurrf:u.l

(P, j XOR Pr ^. ! ) ,

(p, j r { XOR p: 1 ) , (p, ! xoR

Pr ra!) - 10i

4iMrfi! s rYufia*irfiqreirdlff ssrnyniqrrfi o6aiqfi fi ofl aro uarfi6o

nrqna'ir ryer'losr:rrd51r:r7afia.ril Srdar

dn-! D. i! pr frniararcitatalornnr:

rulirrriialrfi aurlotrfl udrraqoudo.ruir

arl.l,l:n6oir uyr.iifi fi ewarotdracr

aarM"

t&,.I 0 0 1A$lnQlt

1 0 Jt't lvo P1

I 0 0 I nixld P2

I 0 nrrco P4

1 0 I 0 0 0 lJ0iJa 17,4)D, D6 Di D3 taqa (7,4)

p.li a

A.41 ' l r vrr l ! r .o.rJ ' Fh f 'b 'LaE.! r i .y ; -ar

v; I L, 11 r ,hr : . t ,rrTodlr ir i : . .r- l" l ;"f ,olro o r

iqr'ldi a:.rr6irr:rfriara r io 1o raSa ry firsrrirdrioqlnuu"lri-a " ' ir": io iu ooo ir , r ..J,rartrrrd.nr :dorarff o{afi owaro'|fi r iqr fi;!qvtraloidalofi rrldornr:dr6oa:'l: mo r.ro.itaq 6o irr'ua;ri6uu r!'ud6uuuei r dr 6n z drtriulitlr,l niuftr:r'l65r orr r:rfiffiufir iJ rGd'r ' tC: 1 .6x", , " l ie;_r i r , r r i i i ! .e 2 fa

$Jro1nld. o $. ' f? Lt tc r11.: : .1 l r i ) u f iL ' - ldtr. ;

nufl o n no rio rr i.r lucL :..q 1dj f aor}if iolsrfi ovrarorfi odu'16 r ial {alafi !fl u'h1d6'o.rvi-lifiuosi'r.r1ioc.r 3 dri,talnr:narari'uf rdu n.nrd6uulrr ooo.r lx. | | t . ' r ,r1".-1",or,1rr.r l ibuvoviG1 , i ' r{Ld,, I

?11- 6,r L ."e.1id"f ' : "a.rn,2. , , Lo.- ra". :or r . . fu' , , " . - " l ltUlol1 'vr lOloq. ,JA1L . t" .El)ndAL, . i r . t " Or.dl ; l "

virrfiu 3 dtlrornr.-norufiurfa5,:uiatrl

D? Dd D, D,0 0 0 0 0 00 0 0 t 10 0 I 0 0 I

3 0 0 I 1 I 04 1 1 t 05 0 I 1 1 0 1

I 0 0 I I7 0 1 0 I 0E 1 0 0 1 0 1I 0 1 1 010 0 0 011 0 0 I 0 It2 1 0 0 113 1 0 0 I 0

i i 1 ll 0I I I I

MY l,lATHS ^pirroos

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: r_nut i_n l t - ! : r lo i l l l l t3rn 11111110 i : ' t i r1_jaan.

" _ itolr1i11: lltStav:tnitajea 1100110 tr"t:_:1d;.]3 2 ct:u7ti

f 1 I 1ta.uo.rtt1:t6lll1tL!

i - l l l l l ' r ! L Pl * l^ lc - . ' - -

l -

'..r!1i-i!6n_!r'.ir.i 1 ii i-trr6'l.i6riiLr!1 .\BuD

ir111if 1 = i0l00l . {-0. I l :1. c=0. D:0r n:f in

I t t l l l ' i l l : iL ""?l l 'P^"r ,1 L l ,

dJ n ' . F. ' l . . 1. . . . f . . . i1 "ia : ,oil1 narfto-r6f;.t7ta.t i otn_ll

' ' \ l l1 1. '

! B=L) lnrr ; ; r l . . . l l

3. ( ' = L) l?r l : ; r lNl

L D : o 'li1rlat,.'l

, . A +L +D t ln i l l1 l l { n l r : l i r .L l

6 r+rrrr) : i lu.ir..:,-rl [:r ia"[l:

/ \ -U ( 1 l .11L.Li l l ' - : i_ i l h

; !J1alra1a 57 U::ni i ! !1,r tnuFi1i : : : l : ln | p

l l ; I l , " . . - - l "" . . . . .1r .

"d" t ' " . - "1 1. o

1r" - . . " " . . ' t , . . "

-!

!llll,rt lnfin I F-r

ir. 5 7 i..rnror,'i;oiro.rir.l1.r ; i: L!x6.!: :rrr

lat

' 1 'L l

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. . - . "

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L:

L ti i]lr 7 r.tot/,rdto7'ta,uutt|]i ||ini.]-.tr.tla 2

i j rJ. ' ; r in"r ;r i rFl i j ' : r , : i . i r ; i r . , i i r . , ioo l i r 1 ;xrr . : rr i . ! r . i r : ' . , : : rx i-1r. : i i , r r1 . i . .1r,n ' : r zr.r = z^ r ,+,r^rra x rr I irLrr lr3rr.rr:rmirrr;'.:F e 1 L: ;irLi rr'1t:rn:L-rr; utu

'i.r'li,'r:1ir1ti].r. rr.i ".r1-r.r 2r4 = 1 r 2 r ir:2r+r0r2l

r t2)- \ox2)- LtZ' ,+ i r x 2 ' l + l0 x r ' r = 111010110t, , i I r ioLlu1. i ia. , o,rn:r , ; unir . t l i inr; l r r i i . t i r -r : j i i r ! 5.r :rni i " /iii!.rrmnir a ir rr:r I .in,i:..i i'rir s r'-;nl.:r:':rllL.lldEl:-rl.'Lii:.itll'::q'rlrrnntyol1i:rt.:ril;:i.r,.l:l."ril.i.,r".lrlr.j;iirrEulLnr..;]lu;r'l1]1:il

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