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2 @ Relatect _-fo 10. ANO / operations A/ A B ie] o oO ~x< ii) A——{ \_ y=0 (&} CamScanner L . i) Ato:A A 8 v oO (a) 9 A ——P A | 2) { ee ‘ ¥- A+B w Ast = 4 AL 8 ¥. iy _ ° 4 4. = i Ay 4 é y SF Ach ’ » iui A+sfAzA A A Y * oO (2) i] ». Aa \ | | A ——i— a S. Ye A+ . ~~ ND) AyA= 1 A A Y ~~. ° \ 4 ——t ——— Ps it y-A +B ~~ -a- ee (&} CamScanner a * > + 2 (A+B)+C = A+ (pte) wr A oe — ~ a —=-, —=y ~ These ave same feavall a A B qc | Pp LG xX. >) ra) (2) (2) oO] ie) 13) a - © i {| o | 4 woe | fe ff ad o | I ee I ] o oO ! ie} | ! o ah i | _ l I oO j { | it i i I \ a tii) (A@8)@C = AG(B a A) P apy —y-~~,_ © Le a a | s = Leg These ave eayal _ ~~ A B wikia P| x ~ (3) (3) (2) Oo oO fe) ~s o 0) { oO I | ~~ fe) \ ° \ \ { ~~ fo) { 1 | o oO =~ { ° } | ° | \ ° t ] \ ° Mad 1 i ® ° ! (2) 1 | may ° ,0 7 \ (&} CamScanner PPP PIP PP, iv) (A@B) Oc = AO(BAOc) XNoR A— p B S a —— ——) , y = Wiese are _erpyald = Cs NANO onc NOR gate aye commutative & —_______but__they ave rot __ associative. Land ~~ NAND AB = BA (@B).¢ # A.(.c) & NoR (A+8) = (B+A) (AXB)+o fF A+(Brc) FT ~~ Distvibutive Law eo »> A. (8+c) = A B+ Ac oo a ee N oo _ oe c. These ave <4 val & OO: =a 6 & ” Oi. A —4 S ee e Hi) AB (c +0) = ABC + ABN ~~ tit) A+BC = (A+B) (A+C) & AAZA os = A-A+AC+R-AtBec ce 4+ — = @ => A +A-c+ AB +BC — = ACi+c+8) + BC =» Ax8c cs Q ss 3 Da te} 8 5 5 oQ g cs 4 4 ¢g f ra ee ——-—De_Margan's Law oe 4 —_-——-- =a $ t) ArB - A.B =z A+Bic 2 ABC. € —heltS se _ . —y {=o yeAsB 2» NOR Gate _ 8 $ Ries € A —_—_ >> _ cose é {| —y-AB 2 A——_\_y.n5 & a ee 8 a __ 5— oC x & 2 Bubbfed AND gate il al A B la’ |e’ |A6 | Ase | A+B a — (e) t ! i ° ! ~~ _ ° ! 1 ° fo) 1 ° om | © oO I (o) | oO Gn ! | ° o D | on — ee a ti) AB > AtrB = A.B.C = AtB+C a L-1:8 7 a A [—,, _Y¥2 AB > NANO Crate G 3g—l cas RS ee a. 4—_>o——_, SS '-——t eo oT + a = Rubbded oR fake i Q ss 3 Da te} 8 5 5 e 2 A 8B | a’ |p | A+B | Ae A:8 ° () | ! ! 4 u i * { ' oO ' 2) | b l o | ! £ : 5 ' | ° e O { ) L) S Simpify > C % i) Aree Sol, — * =. A. Be By De Peter gan's Law t 2» A. (B+?) >a 2 A, (B+C) B-8 se heuer _ ae) CA tC) CA+ 8) CA+ Bt 7%) ~~ —fel, ____ ~— = (Arc) + (A+B)+ (A+8+0) ~~ > fA.€ + RB + ABS ~~ 3 A.C 4 A-B + ABC ~~ -« oe ~~ «= (&} CamScanner 
