and Hera dec val Gyivert, (6-56), To_binaay => 36-56 O66 X22 IQA mo > (i00100+1)2 To_octal => 36-56 3\36_ 056X%8 2U-48 DY u-U eon Ben 53 =) (44. 32)g ro_Hexadecinge => 36-56 16[36 OS6 X16 =896 38 z-4 (42g Fy Cavers ae ge 00, System Into Binary oct tal (36,56)p !SARE fet, Sole Given, A=08)p) 5 B26 l2\us 2132 224 5° 216 -o 212-0 Rune! Ci 2 a Age o an Bk=—O© y—1 re! = \|0000 aad B= 1 00900 4S complement of B 3 OUll! i as com Plement of BA VeCompeumentor B +t mye =) Olli \ 100006 > PBS AT (2'scom plement of B) \10000 4 10000 © 010000 > (io00e) = (16) a) @ ! 1) Gnvest \ooollool b> geay code = | 000100 | a To gray code {605\1{00| = 10010101i) Quest 1 0010 to binawy Sol? Given, =) 100010 “o_bineny 100010 Yar nh Pie On 3 (uin00) b) State and Feove any 4 theorem 5 Re 1) Tdempotent Law > Oe ae [> The idem potent law Sates hat & value Com bined | wrth itself will yield the Same value. FoR oR; AtA= A |fos AND: ALA =A Tote /oR: if A=0, o+0=0 (A) ND 0, 0,0=0 [A) t,tel= 1 (A) {is Toyotution feed = | The involution Jaw ctates that deubLe nega Han _of a vasiabse wetusnstRe Original Varia fe. RA ki ) Aosorptin Laws |qhe absosption flaw Stnplifes exepnessions by “absesbing” | cess into each othes lfos OR’ A+(A-B)=h leew AwDd« A(AtB=A reoot = jon: |@ Axo; ot (0-13)=0 [AND |i fz 040. (0+8) =O iv) Associative Law tie associative Wu aslars the gourig of \esia bles ieee’ changing athe sesutt i ee AVD* : aan oe (p+ B)4¢ Aa (BIC) O°| [rene are ) [ \ { rec o \ 1 \ ° \ ee O27 \ ( o PABHC = p+(B+C) Similorlg (a.8).c2 A. (8-¢) le)fleplain the Lagic gates with Nert Louth table 8H Logic gates qrecthe basic elements thet axe made juPp of & digital System Ly These ase mainly 5 types of Sabie: gates NOT gate + =)The output is Complement of input ifs oh dagic cliagrarn = Vos TTayth ~fabte | tip ofp | ed | Oat | a) IJAND gate + [2 The output to bi high- igh wher all —the to put ai) oR gate = 3 the outputs high uohen any one of te inpud iS hah Ave oe a y =) y=A+8 | Teath bye jie olF oe jo oO O jo | | feo 1 Via Sonn que | The Oufput is high when any ne ot athe input is Pow pile olp me BR Her aes, => Y=ABpe ae as high when beth Ris ‘ = fow a = ye HB | syarth abe | Cee) ° \ 1 oO O oO \ © 3,|a) Find he K-map fos aie fonchon fre (04 12,46, FB 13,14 IS)t B (3,5,12) 0 ° I \ sap GD CHD G45 C+D | atB\follo| xX) © Ca 4 = Bega, | 9 fed eps aa ai sou P— A+B ||) JR Baw lo + Grs0uP= 3 g > CD |Ate+CtD by Find the KmaP -fox the functor ee F(0)1, 2,24 1596, 24,25 26)+6 (8.9,10,11,12) sult DE be _DE_DE Se BE DE DE acl} | ty | os } 2 BC Be A=o x Grour-4 5 GsouPp-2 54 = AB SADE Fe AG+AOE +ECD 480 8E Spla.) Timplement NOT, AND, OR using NAND gate mi Nor gate_using NANP 92 Zwotgate 3 By NANgate 4 sy a 2) By idempotesy Davo (a. A=A) = (A.A) =A te (B= AMeese {meme AND gate. using eS b gate bil EB an’ gare A owl A——“J . : rf eee fo AB | By frvetution’ 5 A-B=(« 6-2) foe | cl | pa aes | v wa | a (ree =F B | OR gate. using NEL Pee : d 3 oR gate a B at B acs ‘ 2 otB= (e+8)) = (avaduticn) = (aera) eee’) ie’ (eo) - [e-8)) Cidemrctercs) aD “Ue oo iD [© @E\-Ot+8 we CBB) GbFrnplement —fanction FEAR }BCICD Sing Basse Gores AB c pest) ay #B+BC+ CD ar > iS co cD Pp 4 Tinplement Ex-0R, EY-NOR using Noe gate gall Ex-NOR Using WOR. Aaa ae A.| Define Sen ttenenae ciacuit 1 Fheplaio decimal addes and Bnosy addes BoA Gmbinatonal Crscuit iS a type of digital Ciscuit whse output iS detesmined solely by ees Cussent INPUES, Without any memoxy of Past tnpues Tn othes wosds, +t cloes not have Stosage efements ot feed back fops, and TES Output depends onby onthe PaeSent State of the input. . Decimal added + =) BR decimal addex is acty Pe of Combination al cist} that Pes Pome azithmetic o pesations on Clecimal numbewS. Et adds two decimal digits and Gnviders cassies that Can occus due te dams excee ding q- Binasy addes + aa binasy) addex (S$ a Gmbinqttonal ciscuit Clesigned +o add to binasy numbes zi theserese, two sred OF Binary odlert. ) Hatt addes tl) Fisk addeyi) Half addev + rane Uieeee Teischit Storer eae inputs + A ond 8 | outputs '- Sum and Cassy ex3> pading Land 1 Sum =O cary =| iy Furladdes > 5 used in Compe add et § - Snputss A,B and Geey-in (ein) et Cheutts Behar mutdi- BH birnsy outputs > Sum , Cavey out (Cout) | G2 adding 4,4 and cassyint Gam= 4 Cassy -out = 4