2C -Spr2018.pdf - c~ 1 •(~)~)~ ¼_~,� 1 ~?•)~ p I< P•...

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c~ ~ ? •\))-)~ 1 p I<\ I P P I (P->P)-)~ 1 0 0 \ 0 0 l ' ' \ C> 1 1157 \ \ \ \ ~:;i) (f:>-'>'ll P p <t P <t I lP 'v)-:>P 1 0 0 \ 0 0 \ \ \ 0 6 t \ ' \ ~ P ( 9r- ) ct) p <t 'l,-)'{; 1 P-:><.'l 9'1 0 0 \ ,- 0 \ \ l \ 0 \ I ' \ \ - 1~ (~-)~)-)~ ¼_ .,· ___., ! ct I P •'\ ~p-><t\ <t p ~ 0 \ ' I 0 0 \ \ \ 0 0 \ . \ \ \ \ i l l\ ~-w P (f-) ct, ) I f' C\, f> -)- 9, P~\> 9,) 0 0 I 0 \ \ ' l 0 0 ~ \ ' l I I. c~.-w .?- ~~-,f>) p <\ C\ P P->lq~p) l 0 ~ \ ' 0 \ 0 I \ 0 \ ' I \ l \ I ' \ a-Jj . \
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Due at 1300 (day) or 1730 (evening) on 20180417 Spring 163 Exam 2C Take Home 6 (la) Find <p(p, q, r) in terms of: p, q and r if <p(p, q, r) has the following truth table: 11 q r <Pfo, Q, r) <P, (/)7 (/)"- (D,._ (/Jc. (/)F, 0 - 0 T1 = 0 0 0 0 0 /') n 0 0 1 T2 = 0 0 0 0 0 n () 0 1 0 T?, = I 0 0 (} tJ 0 r 0 1 1 T4 = I 0 0 0 0 1 0 1 0 0 T1:, = I 0 0 0 I () 0 1 0 1 TF, = I 0 {) I 0 11 0 1 1 0 T1 = I 0 I () () 0 n 1 1 1 TP. = I I 0 0 0 0 0 4(i) <p(p,q,r) = (((J 1 )v(~ aJV(l(J~ )V ( <{J4-) V (lP ' (({) 0 ) = (PA't'A,) V ( p /\ <¼I\ ( ,1"' )) v ( P/\l,q)t\, ) V ( P /\(1'¼)/\t-,r)) · V (( ""1 \') /\C r,\ r) v (6 P) /\~ "(, r \ ) l(ii) Find the version of F(A, B, C) of <p(p, q, r) in Sets: (/)7 (/JR F(A, B, C) = (An Bn C.) u ( Bn l<-)') u l All lBf n C) I u { /An < Bf n < < )' ) U l ( AY : n P> n c. ) u {(A) c n B n ( <- )') Find the version of E(x,y,z) of q,(p,q, 7 E(x, y, z) = X.~ z. t :pp:.' + X ~f z. You are free to talk to anyone I + X:~{.z. '+ ~y 2. + x' ~z 605
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- - - - . ~ lf) (P,q,r) (0}) F (A)BJ C) = lAf\Bf'\ C.) = ~, =- ( PAct"r) -t ~l. V (Pf\~/\(,r)) +\fl~ V ( p At,~)/\ r) +~4- V(P/\\"1<;\)Al,f)) t ~5, V (l,P)A<\Ar) + ~b v(l,P)I\Ov/\brl) ~lx ,~,2.) = lX*~~z.) -\- lX* ~ ~ l2..)') -\- { x. * l y )' * i..) -\- ( X ¾ l~Y~1) -\{ t~Y* 4 ~ 2.) +U.xr %~~t_~) = x~z t ~~z! + X'Jz t X'J"Z/ tr'1 z.. tx.'Y.2! U (/4nB(\ (Cf) VlAnu;f nc.) u l />i (\ l B) C /) ( ( )' ) V ((Aff\ Bn c. ) U llA) n E, (c.f ) · J
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Due at 1300 (day) or 1730 (evening) on 20180417 Spring 163 Exam 2C Take Home 6 (lb) Use the consensus method to find the following for your answer from (la): E(x,y,z) = :£~:z..-t:x:yz:-tx'::j' :z. .'-t ~~z.
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  • Spring '18
  • Atish Bagchi
  • Trigraph, T-carrier, PF, ij

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