m~' THI MON KI THUAT f)1~N Tlf s6---;!-73C­

(De 2 -Thai gian 90 pillit - Khong diIng titi li~u)

I

COil 1:

TOI thleu hoa ham sau bang phuong phap bia Karnaugh. F(X".x).X2.xI'X,,)= ::J (0,2.5..8.10,15.16,18.19.20.24.31).

N=7.1323.29.

CHi) 2:

Ve m~eh d6i j-k FF tMnh T- FE(Cie m~eh logie dung NAND).

':"-'

Cau g: TIliet ke mach c(lng nbi phan noi tiepdiing j-k FF. (Cilli)' : Cae bili thi khong kern de bai se khong duqc cham diem).

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-

.

DE THI MON KI THU~T D1!;N Tll SO De 1 • Thbi !!ian 90 ph lit

CaY {: Toi thi~u hoa hi\m sau bang phuong pilar bia Karnaugil.

FC\".X).X,.X,.Xo)='J (0.1,2.3,6.9,n.13.1:'i,: G, 17,18,19.22,25,27,29,31)

N= 7.23 .

cae trang thai khong xac dinh eua ham

Caul.:

VieI ham sau du6i dang dai s6 dan gian nhitt vir thue hien hi\m chI bar,g e

CQ'u3:

' -

.....

.

. Viet dang dai so eho ham f(x,y.z.w) eho bc)'i Jl1~\eh sau: lviach £iai ma c6 bang that . c110 !fling b<:lng duai day:

x

y zw

f

Yo~ I a Yl_

al bi 0 1.2 3 ~I 010 ~Il 1 o 11 1 0, 1 1 loh 1 0 1 Ii: iii 1 1 0

~ [ L

Ham c6 gia tri biing 1 khi m(>t trong cae bien eo gia trj. bang 0 ho\ic ci\. 3 bien c6 gia tri biing O.

.

+ Thuc hi~n ham tren biing m~ch ch9n kenh.

(Chri )': Nqp bizi kem theo tie')

C4u4: + Lap bang th?t eho ham logic F(A,B,q th!!c hi~n cae ehuc nang sau :

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DE THI MON KI THUJ;\T DI~N TV SO De 2 - ThOi gian 90 phUt

CallI: T6i thieili hoa ham sau bilng phuong phap bia Kamaugh.

F(X4,X3,X:l,X j ,Xo)=91(O,I,2,3,6,9,11,13.15,16,17,18,19.22,25 ,27,29,31).

Cac trang thai khong xac dinh clla ham N=7,23.

Cau2:

Y(A,B,C)=:J (0,2,3,4,6).

Viet ham sau du6'i d~ng d~i 56 don gian nhat va thuc hi,~n ham chi Mng cae mach NOP..

Cdll 3:

Vietdailg dai 56 choham-f{X;y;z;wTchaboim?chsatr. -------­ Mach giai rna co bang th~t cho trollg bilng duoi day:

y lW

~I

a b 0 1 i'R ') 0 0 1 1 11 o 1 1 o 1 1 0 il 1 011 1 1 1 1 1 01

Cdll -/: + Up bang th~t cho hil1nToi~ic F(A,B.Crrhuc hien cae chuc nang sau :

I-jilm co gia tri bang 1 khi m\\t trong cae bien co gia trj bang 1 hmlc ea 3 bien co giatri bang 1.

+ Thue hien ham tren bang m~ch ch9n kenh.

(Clzzi v: Nop biii kim theo de)

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A'

DE THI MON KI THU~T DI!;:N TV SO D~ (hi Ian 2

D

Call 1:

N=7,23 .

a) T6i thieiu hoa ham sau bang phuong phap bia Kamaugh. F(X4,X,.X2,X,'xo)=J (0,1,2,3,6,9,11,13,15,16.17.18,19,22.25.27,29,31). Cac trang thai khOng xac dinh eua ham b) Thuc hien ham tren bang cac mach NOR.

Cdll 2:

Viet ham sau dlroi d;ing d~i so va thrrc hier.. ham bang m~ch giai mii va mach mi.lch AND.

Y(A,B.C)=:11(C.2,3,4.6).

--

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=~,,-=-"'-~~~~...:-.-

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-

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=_=

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('!ill 3:

Viet dang da.i.,.;o eha hitm f(x.y.z.\':) eha boi mach sau: Mach giili rna e6 bang th~t cha trang bi'mg uu6'i day:

x

.~

y zw

Yll L--.--j a Y1 - b

'I

I' •

a b o 1 2 3 o 0 o 1 1 1 o 1 1 0 1 1 1 0 '1 1 o 1 1 1 1 1 1 0

Calf 4: + Lap bang tll

Ham c6 gia tri btmg 0 khi rn(lt trang cae bien c6 gia tri bang 0 ho;ie cit 3 bien e6 gia tri bang O.

+ Tllue hi~n ham tren bang mach chc,m kenh,

DE THI MON Ki THUAT DI$N TlJ s6 De 2· Thai zian 90 phIi~

Crill 1: TOl thi~1I haa ham sau bAng phuong phap bja Karnaugh.

F(X4.X,.x,.X"Xo)=91(O,1,2,3,6,9,11,13,15,16,17,18,19,22,25.27,29.31).

Ctc lr'olng thai khong xae dillh eua hitm N=7,23.

_

Call 2: . Viet ham sau du6'i da.ng~(li 56 dan gian nhat va thue hien hamshi!J,LbJ:1'agn!l;g~ . dcmac::h NOR.

Y(A,B,C)=3 (0,2,3,4,6).

Call 3:

.' .­

Viet #ng d<;li 56 eha ham f(x,y,z,W) eha boi m<;leh sau: Mach giai rna e6 bang th~t eha trang bang dum day:

[

,~ •

x

Y - - - - - I z:vt ====~

f

Jo-L--

Y a Y.1_ b yz

j

a b o 1 2 3 o 0 o 1 1 1 o 1 1 0 1 1 1 0 1 1 o 1 1 1 1 1 1 0

Call 4:

...,- ---­

. _. -~ - - - -.

----------- -

+ Lip bing tha.t cho ham logic F(A.B,C) thue hien cae ehuc nang sau:

, Ham e6 gia IF! bang 1 kill rn¢1 lrong cae bien c6 gia tIi bang 1 hoae d 3 bien co gia trj b5ng 1.

+ Th~re hi~n ham tren bang rn<).ch eh<;>o kenh.

( Chll j : Ni)p biii kem thea tie)

.

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BE THI MON' KI THU~T BIr;:N TV SO ( D~ 1 -Thai gia[j .90 phut - KMng dung tai li~u) Cdul: Toi Ihi6u hm1 ham sau bang phuong phap bla Kamaugh.

F(X4,X"X2>X1

,Xo)=~(0,2,5,8,1O,13,l6, 18,21 ,23,24,26.31). N=7,9,15,29.

Call 2: Viet d<).Ug d<).i 56 eho ham f(x,y,z,w) eho hOi m~eh sau:

x

-

y,

'" a a a " I 1 1 II all 1 OJ 11 011011

1i l l 1l.JlQj

Call 3: Vii sa do va gJaI thich mach dem khong dong be) modu! 5 dGog JK-FF

Mach giai rna co bang Ih~t ellO trang bang duai day:

A

.

(Cill! y: Cae bai thi khOng kern de b'\i 05;; khOog duoe cMm di6m)

,......

A

--

-

_

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. , ' A '

DE THI MON KI THU~ T BIr;:N TV SO (De 2 -Thoi gian 90 phul - Khong dilrig tal li~u) "Cal( 1: Toi Ihi6u hO:1 ham sau bang phuong phap bia Karnaugh. F(X4,X,.X"X"Xo)= :J (0,2.5,8,10,13,16.18.21.23.24.26,31).

--._-----..------- - -~

N=7,9,15,29.

Call' 2: Viet dang d«i so eho ham f(x,y,z. IV) cho boi m~ch o5au:

3

x

v zw

f

Yo a y, 1 11 l Ib yz

M«eh giai rna e6 bang Ih~t cho trong bang duai day:

Vii so do va gi3.i thfch mach dem kh6ng dong be) modul5 dung'JK-FF.

-_. - - - - - - - ­ - - -

~'._--

;~~

- -~-'7_'=7" ..· -~--

_ ._ ­

(Chli :/ : Cae b:li thi khong kern dd Imi sii u'lung dw;re ehilm di6m).

------.......;.------------­

CtalI:

T6i thi~u hoa ham sau bftng phuong plliip bia Karnaugh. • F(X4.X;.X".xI.X(l)=~H(O.l.2.3.6.9.11.13.15.16,17.l8.19.22.25,27.29 .31 )

'

N=7.23: '-

Call2 : ,

_, ___

Hiiy viet ham sau duai.dang d~1 s6 dan gian nhat v~~nham chi bftng die

m~hNAND.

.

Y(A.B.C)=:.i(O. L4.5.6). .

Call 3:

Hay li~t ke nhfrng t6 hqp bien vilO t\li d6.f{x.y,z.w)=O.

" "., .4;

Cuu4:

1

III

Ve bi6u do thai gian C.B.A clm mach ben

preset

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DE THI MON Ki'THUATf)JENTa~"'I,,' (Thai gian 90 ph6t- Kho~g dung t~i li~u)' ' ..cl:b;i.: ;, "

CallI:

, .

Tm thi~u ho~ ham sau biing phuong philp bla Kamaugh. ' F

N=7,23.

... , , ,"

'

" :J , :'~'i :'f':

! •.

.. ":

.;y

5

I

Cgu 2: Hay viet Mm sau du6i d\lng d~i s6 dan gian nMt va thgc hi~il bam' chi b~ilg cae m~ch NOR.

Y(A,B,C)= 91 (0,1 ,4,5,6). ' ..

Cti.u3:

Hay li~t ke nhung t6 hgp bieIt vao t~i d6 f(x,y,z,w)=l.

z --=----j

~ f 3

b I

(

I 1

1

'a b 4 c6bang t:'~t sau o f

\tI,_~ Ma.ch giai rna ch9rl

o 1 1 o 1 1 0 1 1 0 1 1 1 1 1

Cd1l4:

1

1

1

rc66(k~

III

. c

1 c---J ~~. qc--'

q~-,

Ve bi~u do th6i gian C,B.A ella mach ben

Ie- I-

- I-

­

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L:.I->

I -p.,

- -_ . . .preset,

"'-b

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0

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DE THI MON KI THU~T DIf;N TV SO (De I -Thai gian 90 philt - Khong dung tiii lieu)

Crill I :

T6i thi~u hoa ham sau bang phuong rbip bJa Kamaugh.

N=7,13.23,29.

Dau VaG

c b a

Cd1l2: Hay viet ham logic dang t6i thi~u thl;l'c hien mach dt; l:la sall : t,k\ dall vao nhi phan 3 bit; Mii dau ra .\1ii chan ]e: Dati ra gifr ng'uyen ' gin tri d,lu vao .them mot bit i d~ kiem tra tfuh chan Ie: neu 56 bft 1 ,1au vih' Ja chan i=O, neu 56 bft 1 dau vao IiI Ie i=l.Vf du: Dill ra

(

i h a e '"

000 001 010

F(X.,X"X2,X .xo)=91(O,2,S,S.10.lS,16,18.19.20,2 oL,31).

ooon 100 1 io t 0

1 1 1

I 1 I 1

Call 3:

Thie't k~ mach cong nhi phan !l6i ti~p dllIlg j-k Fr:.

(ClItl ~': GtC bili thi khong kern de b:\I se khong c!ugc chain di~m)

Hay viet d'i-ng ham t6i thi€uvil thlfc hi~n ham chi bfulgcac-mach---- ­ NNID.

.

Cdll 3: - V€-so d6 m?ch'de'm d6ng b(l modu14 dung JK-FF. (Chti Y: Olc bili thi khong kem _d_~ bai se khong duqc cham diem).

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DE THI MON KI THU~T DI~N TV SO (LAN 1)

(D6 1 -Thai gian 90 pMt - Duqc dung tiii Ii¢u)

Call I: T6i thi€u hoa ham sau bang phutrng phap bra Karnaugh. F(X4,X"X2,X j ,Xo)=:R(0,2,5,8,10, 15,16,18, ~ 9,20,24,31).

l s.xcf !

f

Cdn 2: M¢t m?ch 56 4 dau vao, mot dau ra tl1lJc hien chuc nang nhU' sau: Dall ra bang 1 netl 56 bit 1 adau VilO la s6U:. Vi DV: Dau vao -­ d c b a

. N=7,13,23,29.

0000

a

0001

Dau ra

I

0010

o Hay viet dang ham t6i tbi€u va thuc hien ham chi bimg cac mach NAND.

Cau 3:

I 1 1 1

1'hie:t ke mach trir nh~ phan noi tiep dung JK-FF.

-lChti '1: Cic bili thi kMng1:em ae bar se kliong dtrO'Ccharrn1itrl'lIlT)- - - - - - - - - - ­

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BE THI MON KI THUf:\T DIJ;:N TLJ SO (LAN 1) (De 2 -Thai gian 90 phut - DUCiC dung tili1ieu)

Cdu I:

( ~ (

-- L \' 'J . .\ - ­ " J

1'6i thi€u hoa ham sau bang phuong phap bla Karnaugh. F(X,.X,.X 2.X 1.XJ= 'J (0.2.5,8.10,15.16.18.19,20,24,31). . N=7. 13.23.29.

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DE THI.MON K! THUJ:;.T Dlf;N TV SO (LAN 4) , (D6 I -Thai gian 90 phut - DllOC clilng tai lieu)

Cdll 1: Toi thieu haa ham sau btmg phuong phap bia Kalnaugll. •

F(X".X,.X2.Xl.X,,)=~)\(0.:;.S.8.1 0.15.16.18. I9.20.24,31).

N=7,13,23.29.

Ctill 2: M9t mach 56 4 dau vao. m9t dau ra :h\le hien chue nang nhu sau: D[iu ra b'lng 1 neu s6 bft 1 ij d,iu van h't sole. Vf du: Dciu vaa deb a

.f·

Deiu ra

o Hay viet dang ham toi thi~u va thue hi(:n hiun ehi btmg eae maeh NAND.

CrilL3:

Vi: sa d6 mach oem khimg don£: be moduI 4 dung JK-FF. :Chu }I: Cae bar thi khong ke~ d~ bit; .,~ khong uugc-chelm diem)

,,'"

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BE THI MON KI THU~ T f)1~N Tll SO (LAN 4) (De Z -Thai gian 90 phut - DuQ'c dung tai. li~u)

Cd" 1:

Toi thieu hmi hilln sau biing phuong phap bia Karnaugh. --F(X4,X"XZ'X IoXo)= :3 (0.2,5,8,10,15,16,18,19,20,24,31).

N=7, 13,23,29.

Call 2: Mot mach so 4 dau VilO, mot dati fa thue 'hien ehue nang nhu sau: Dau ra bang 1 'neu so bit 1 adau v~a Iii so ehlfn. Vi dl,l: m:u VaG d c b a

Dau ra . f

1

a

0000 . 0001 0010

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1

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/l'illl )\; ,j ;W(/c n /\,'211 kh(iJ1g hili (hi sf kh{mg {ii~}}}. D6 {hi }.lap /(d cimg heIr' hill.J,.'

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(,iill I, ('Ill) he 16 hql; bdiu dl@n boi Mm Situ: ,

! ,F(A,B,C) =A BC+ABC+ABC+ ABC

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a) 've so dl\ Ih\rc hi~n"he I b) 1'61 thi~u ho:iM l\fu,g bia Cae-no , 'c) Ve so d6 th\fC hiel' he dil 16; thi~u hoa

I dl eho bi~( "hire nOl'g' eila he

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~all 2, T6ng hQ'p hi) d~m lien ,d6ng bi> mMun 7 dung triga JK Vi@( aO(ll1 chuang trlnh b,)ng ~ascal mo ph6n~ he ail tong hqp QU\lc, eho hier hang lmg d\U1g ella lriga JK nhlr 'salt: qQ =00 -.JK ~ 0 -, qQ =01--> JK =;1-, qQ ~ 10 -->JK = -I, qQ =,11 -> JK ~-{),

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Call l. Cho thanh' ghi clich pMi 4 bit dimg Iriga D d6ng b(l wan am clm d6ng h6, s6 lieu ,

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niu 2. Thiel ke he day' d6ng hi) dlmg triga JK d6ng bQ sulm am d6ng h6 crii laO ra cae tin hieuE,F, Gnhusau,

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E _.I F - I I Cho biet hang lmg dung eua triga JK: qQ = 00 ....JK = 0 -, qQ = OJ .... JK ~!-, qQ =!O ....JK = -l,qQ = II .... JK =-0,

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Cau I. eho sa del h~ dlil Mil sau Hal phan lich v;h;ho bi61 chircnling cua h~ khi' a) A = I. B = 0 b) A =0, B = J Bj~l bang irng d\lllg cua lriga T :qQ = 00-->T=O, qQ = IJ 1-->T=I, qQ ~ J0-:T= 1. qQ = I J-->T=o.

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Call I. ell" SO' d6 Il~ dtiy nhu hi'nh ben. Qa tlli~t ban dftu (r\lng Ihai ell 3 (riga d~u

cu<

Iti O. Ve tin hi~u (; cae d~u ra qI, q" q" C

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W dong (ren eimg In,Ie Ihm giun eho 8 xung d6ng h6 va giai thich.

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CaD 2. Cho lriga D nhu hinh ve ben. Hay lhi~l k~ lriga nay sao eho trig() 151 tr:;mg th:\i img vai xlmg dbng h6. Chimg mlnh diu Ira lUi.

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RAi 1. Clying minh cae bi@u !hire sau

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a. AB + A B =' AB + AB

-

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b. AB + AC = (A + C)(A + B)

Bid 2. X,iy d\Ing bang lh(it va vi~l bi@u Ihire lOgie eua ham F xae dinh nhu sau:

a. F(A,B,C) =1 irng vai 1<3 hO'P bi~n eo s6 11I'0'ng bien bilngJ la mol s6 eh&n hoije

. khang eo bi ~n nao b~ng 1~ Cae lruimg hqp khae thl hUm bilng O.

b. F(A,B,C,D) = I img vai 1& hqp bien co it nhdt 2 bi~n bling 1. Cae tmUng hqp khae

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Ihi ham bilug o.

.!!il TO; lhj~u J",a Cae ham sau bilng phu

• F(A, B, C, D) = (A + BC) + A(B + C)(AD + C) b. F(A,B, C) =(A+ B +C)(A + B + C)(A+ B + C)(A + B +C)

-Bill 4. T6i thi@u hoa ham sau bling bi. Cae-n6:

a F(A,B,CD) = R(O,2,5,6, 9,11,13,14)

b. F(A,B,C,D)= R(J.3.5, 8,9,13,14,15)

e F(A,B,C,D) = R(2,4,5,6,7,9,12,13)

,

.

d. F(A,B,C,D,E) = R(o, 1,9,11,13,15,1 G, 17,20,21,25,26,27,30,31)

DiH 5. Gia Slr co bem phim g<3m co 9 phim danh s6 tir J den 9. Hay Uli~l k~ b(, rna !lOa Uti lien eho ban phirn miy.

21

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Hai 7. Sll d:mg 21>6 ehQn kenh 8-1 va cae phAn til 16gie co, ban cAn lhibl db thibt kS b(l cQng 4 so J bit U3, (12, HI, all. Hili 8. Vi~e tnly@n tin tir llguon s6 lieu 4 bit d3, d2, d l, dO dSn noi nh?; duqc lh\lc hien theu each tnl)~n song song. OS ki6m tra 16i truyen, ngum la sli d\lng linh chful, Ie cua s6 lllqng bit b:\ng I 1rong s6 4 bit s6li~1I do. Ngoai 4 bit s6 li~u con truyt\n d6ng Ihm bit PE M ph\IC VII cho kiem Ira 16i tn!yen. Hal phiin tich sa do va cho biSl, ca chS phU! hi~n 13i , tnl)t\n llung lnrimg hgp nily.

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L~p IU?1l lllong III cho tmonghlWA

o

Rai n. T6ng bo-p b() chon kenh 2-1 Co them dAu vao CS. N8u dAu CS = 0 thi bl;) chon kenh hO~l dQng binh lhuimg, n8u CS =1 thi d§u ra bo chon kenh luon b~l1g O. Hay llwc hi~n cach m5c 2 b(\ chQn kenh 2--1 nhutren dS co mot b() chQn kenh 4-1.

,

,

.

Hili 13. Thllchi~I1 b(\ chuyen dbi rna cho phel' chuySIl dbi tit rnn nhi phan 4 bit sang rna chilhl 7 thunh ohu sau:,

- ----::~;::=__ __ =0 - -

--=------, - -..

Trinh Vein Loun Khoa Cting ngh9 7!u5ngzln.Di;11 /;<;t' Buch/{IJOu J-l,ijNQl

11_11_' '_11- I _"_ I_ II_I_~-· III_II_UI_I

I I I_I ]1_11_1­ I_I 11_ .;...---1-1 _I U

Blli 14. T6ng hQ'p m\lch t6 hQ'p ih\lc hi~n phep toall sau : M = N + 3, bi~t rimg N la s6 4 bi I rna BCD con M la s6 4 bit.

Blli 15. V6i gin tri nao Clla 16 hQ'p (A,A,;... Aj Ao)l Ihi S =R

A,

&

A,

A, A,

A~ A,

A, A.

s

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Bai 16 Th\lc hi~n mach 16 hQ'p co 2 dftu vao, I dilu ra vai d\lng tin hi~u (] ca~ dAu v:lO A, • B va dau fa S nhu sau:

i

~lA ~ Ui------'--~-- ---'-~---1.'" J" h---C---J~~--'-,--___

:

!

F(A,B,C) = AB+BC+ABC.

Chimg minh call Ira liJi.

I

Hai 18. Dung bi,i chon kenh 8-] dS lao ra ham sau:

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[

F(A,B,C,D) =R(O,2,S,G,8,! I, 13,J4, IS)

Chimg minh cfiu tra Jiri.

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