Title FRB-ICT-Chapter-3-সংখ্যা পদ্ধতি ও ডিজিটাল ডিভাইস Without Solve.pdf ✅

msL ̈v c×wZ I wWwRUvj wWfvBm  HSC Preparation 1 msL ̈v c×wZ I wWwRUvj wWfvBm Z...Zxq Aa ̈vq Number System and Digital Devices Topicwise CQ Trend Analysis †evW© mKj XvKv ivRkvnx Kzwgjøv h‡kvi PÆMÖvg ewikvj wm‡jU w`bvRcyi gqgbwmsn 2023 2 2 2 3 2 2 2 2 2 2022 2021 K‡ivbv gnvgvwii Kvi‡Y GBPGmwm cixÿv AbywôZ nqwb| 2020 2019 2 2 2 2 2 2 2 2 2018 mw¤§wjZ †evW© (2 †mU): 4 2017 2 2 2 2 2 2 2 1 *we.`a.: 2020 mv‡j GBPGmwm cixÿv AbywôZ nqwb| ACS ICT Department Gi g‡bvbxZ m„Rbkxj cÖkœ DËi 1| iwb Ges Rwb Gev‡ii GKz‡ki eB‡gjv †_‡K h_vμ‡g (346)8 Ges (10110110)2 UvKvi eB wK‡b‡Qb| [Xv. †ev. Õ23] (K) ASCII †KvW Kx? (L) Ò†Kv‡WW †WUv‡K Avb‡Kv‡WW †WUvq iƒcvšÍi Kiv m¤¢e|ÓÑ e ̈vL ̈v Ki| (M) DÏxc‡Ki iwb Ges Rwb †gvU KZ UvKvi eB wK‡bwQj Zv †Wwm‡gj c×wZ‡Z wbY©q Ki| (N) DÏxc‡Ki `yBR‡bi g‡a ̈ †K †ewk g~‡j ̈i eB wK‡bwQj Zv 2 Gi cwic~iK c×wZ‡Z wbY©q Ki| DËi: (M) (412)10 UvKvi| (N) iwb †ewk wK‡bwQj = (00110000)2 = (48)10 UvKvi eB| 2| F = A – BC + AB – C + ABC – + ABC [Xv. †ev. Õ23] (K) KvD›Uvi Kv‡K e‡j? (L) ÔevBbvwi I wewmwW GK bq|Õ Ñ e ̈vL ̈v Ki| (M) DÏxc‡K cÖ`Ë jwRK dvskbwUi mZ ̈K mviwY •Zwi Ki| (N) DÏxc‡K cÖ`Ë mgxKiYwUi mijxK...Z gvb ïay b ̈vÛ †MU w`‡q ev ̄Íevqb Ki| 3| GKwU K‡j‡Ri GKv`k †kÖwYi weÁvb wefv‡Mi wkÿv_x© X-Gi Aa©-evwl©K cixÿvq †gavμg wQj (2F)16| evwl©K cixÿvq Zvi †gavμg n‡jv (14)8| [iv. †ev. Õ23] (K) wPýhy3 msL ̈v Kv‡K e‡j? (L) ASCII †KvW GKwU AvjdvwbD‡gwiK †KvWÑ e ̈vL ̈v Ki| (M) X-Gi Aa©-evwl©K cixÿvi †gavμg evBbvwi I A±vj msL ̈v c×wZ‡Z iƒcvšÍi Ki| (N) DÏxc‡K X Gi cixÿv `ywUi djvd‡ji cv_©K ̈ †hv‡Mi gva ̈‡g wbY©q Ki| DËi: (M) evBbvwi = (101111)2 ; A±vj = (57)8 (N) cv_©K ̈ (00100011)2 ev (35)10 4| cv‡ki wPÎwU jÿ Ki Ges wb‡Pi cÖkœ ̧‡jvi DËi `vI : [iv. †ev. Õ23] B C A X (K) Gb‡KvWvi Kv‡K e‡j? (L) wW-giMvb-Gi Dccv` ̈ †h.w3K †hvM I †h.w3K ̧‡Yi g‡a ̈ wewbgq mvab K‡iÑ e ̈vL ̈v Ki| (M) DÏxc‡K DwjøwLZ X-Gi Rb ̈ jwRK mgxKiY wbY©q Ki| (N) DÏxc‡Ki eZ©bxwUi cÖ`Ë BbcyU I cÖvß AvDUcyU AcwiewZ©Z †i‡L GKwU gvÎ jwRK †MBU Øviv eZ©bxwU cÖwZ ̄’vcb Kiv hvq wK-bv Zv jwRK mgxKi‡Yi gva ̈‡g we‡kølY K‡i gZvgZ `vI| DËi: (M) (A + C).B – + A –––––––––––– (N) NAND †MBU Øviv X mgxKiY ev ̄Íevqb 5| gvgyb RqcyinvU †_‡K XvKv hvIqvi Rb ̈ (112)8 UvKvq wUwKU wKbj| gvgy‡bi eÜy Avwei bvivqYMÄ †_‡K XvKv Avmvi Rb ̈ (3D)16 UvKvq wUwKU wKbj| [Kz. †ev. Õ23] (K) cwRkbvj msL ̈v c×wZ Kx? (L) (14)10 Gi mgKÿ BCD †KvW Ges evBbvwi msL ̈vi g‡a ̈ †KvbwU‡Z †ewk weU cÖ‡qvRb? eywS‡q †jL| (M) gvgyb I Avwei †gvU KZ UvKvi wUwKU μq Kij Zv evBbvwi‡Z cÖKvk Ki| (N) gvgyb I Avwe‡ii wUwK‡Ui μqg~‡j ̈i cv_©K ̈ †hv‡Mi gva ̈‡g wbY©q m¤¢eÑ we‡kølY Ki| DËi: (M) (10000111)2 ; (N) (00001101)2
2  HSC ICT Chapter-3 6| Zvi AvBwmwU K¬v‡m `yÕRb Qv·K `ywU `kwgK msL ̈v wjL‡Z ejvq GKRb (+63) Ges Ab ̈Rb (+70) wjL‡jv| ZLb m ̈vi ej‡jb Avwg 0, 1, 2, 3 I 4 w`‡q bZzb GKwU msL ̈v c×wZ Avwe®‹vi K‡iwQ| [h. †ev. Õ23] (K) i ̈vwW· c‡q›U Kx? (L) 9 + 7 = 20 Kxfv‡e m¤¢e Zv †`LvI| (M) (2FC)16 msL ̈vwU m ̈v‡ii bZzb msL ̈v c×wZ‡Z iƒcvšÍi Ki| (N) DÏxc‡Ki `kwgK msL ̈v `ywUi cv_©K ̈ †hv‡Mi gva ̈v‡g †ei Ki| DËi: (M) (11024)5 ; (N) (00000111)2 7| [h. †ev. Õ23] (K) KvD›Uv‡ii †gvW bv¤^vi Kx? (L) 2 Pj‡Ki Rb ̈ wW-giM ̈v‡bi 1g Dccv` ̈wU mvwK©‡Ui gva ̈‡g †`LvI| (M) DÏxc‡Ki eZ©bxwU NOR †MBU Øviv ev ̄Íevqb Ki| (N) DÏxc‡Ki eZ©bxwU‡Z GKwU Bbcy‡Ui msL ̈v e„w× Ki‡j bZzb †h eZ©bxwU •Zwi nq Zv c~‡e©i eZ©bwwU Øviv ev ̄Íevqb Ki| 8| [P. †ev. 23] X = (123)n Ges Y = (43)16 (K) BCD †Kvb Kx? (L) 5 + 3 = 10 e ̈vL ̈v Ki| (M) X msL ̈vwUi `kwgK msL ̈vgvb (83)10 n‡j n Gi gvb KZ? (N) X–Y MvwYwZK cÖwμqvwU 2 Gi cwic~i‡Ki mvnv‡h ̈ †hv‡Mi gva ̈‡g Kiv hvqÑ Dw3wUi MvwYwZK we‡kølY Ki| DËi: (M) n Gi gvb 8 ; (N) (00010000)2 9| [P. †ev. 23] F = AB – C wPÎ-1 wPÎ-2 (K) A ̈vWvi Kx? (L) P + 1 = 1 e ̈vL ̈v Ki| (M) DÏxc‡Ki wPÎ-1 Gi jwRK dvskbwUi mZ ̈K mviwY •Zwi Ki| (N) ÒDÏxc‡Ki wPÎ-2 Gi jwRK †MBU Øviv wPÎ-1 Gi jwRK dvskbwUi jwRK mvwK©U ev ̄Íevqb Kiv hvqÓÑ jwRK eZ©bx A1⁄4b K‡i we‡kølY Ki| 10| [e. †ev. 23] x y wPÎ-1 x y S C wPÎ-2 x y CIN S COUT wPÎ-3 (K) wd¬cd¬c Kx? (L) b ̈vÛ †MU‡K mve©Rbxb †MU ejv nq †Kb? (M) wPÎ-1 Gi AvDUcy‡Ui Rb ̈ GKwU mZ ̈K mviwY •Zwi Ki| (N) wPÎ-2 Ges wPÎ-3 Gi g‡a ̈ †KvbwU †hvM Kivi Rb ̈ †ewk Dc‡hvMx? e ̈vL ̈v Ki| 11| m¤úawZ ÔjvjÕ I ÔmeyRÕ `‡ji g‡a ̈ GKwU †U÷ g ̈vP Av‡qvRb Kiv n‡qwQj| ÔjvjÕ `j cÖ_g Bwbs‡m K‡i (1101010)2 ivb| ÔmeyRÕ `j cÖ_g Bwbs‡m 9 DB‡K‡U K‡i (347)10 ivb| jvj `j wØZxq Bwbs‡m K‡i (C 3)16 ivb| [e. †ev. 23] (K) wfwË Kx? (L) Òc„w_exi me gvZ...fvlvi eY©‡K BDwb‡KvW Kw¤úDUv‡ii e‡Y© cwiewZ©Z K‡i‡QÓÑ e ̈vL ̈v Ki| (M) ÔmeyRÕ `‡ji cÖ_g Bwbs‡mi ivb †n·v‡Wwm‡gj msL ̈v c×wZ‡Z iƒcvšÍi Ki| (N) ÔjvjÕ `‡ji `yB Bwbs‡mi iv‡bi †hvMdj meyR `‡ji cÖ_g Bwbs‡mi †P‡q Kg bv †ewk? e ̈vL ̈v Ki| DËi: (M) (15B)16 ; (N) (347)10 > (301)10 12| `„k ̈Kí-1: [wm. †ev. 23] X = ABC + A – B C – + A – B – C – + AB – C `„k ̈Kí-2: A B X 0 0 1 0 1 0 1 0 0 1 1 0 (K) †iwR÷vi Kx? (L) mZ ̈K mviwYi mvnv‡h ̈ wW-giM ̈v‡bi Dccv` ̈ cÖgvY Ki| (M) `„k ̈Kí-1 Gi mZ ̈K mviwY A1⁄4b Ki| (N) `„k ̈Kí-2 †h †MBU‡K wb‡`©k K‡i †mwU w`‡q `„k ̈Kí-1 Gi mijxK...Z mgxKiY‡K ev ̄Íevqb m¤¢eÑ we‡kølY Ki|
msL ̈v c×wZ I wWwRUvj wWfvBm  HSC Preparation 3 13| [wm. †ev. 23] evBbvwi msL ̈v 100010 (1g) 100100 (2q) 100110 (3q) ? (4_©) 101010 (5g) (K) weU Kx? (L) cÖvq mKj fvlv‡K mgwš^Z Kivi †KvW e ̈vL ̈v Ki| (M) DÏxc‡Ki 5g msL ̈vwU‡K AKU ̈vj, `kwgK I †n·v‡Wwm‡gj msL ̈v c×wZ‡Z iƒcvšÍi Ki| (N) 2- Gi cwic~iK c×wZ e ̈envi K‡i DÏxc‡Ki avivwUi 4_© msL ̈v †_‡K 2q msL ̈v cv_©K ̈ wbiƒcb Ki| DËi: (M) A±vj iƒcvšÍi: (52)8 `kwgK iƒcvšÍi: (42)10 †n·v‡Wwm‡g‡j iƒcvšÍi: (2A)16 (N) (00000100)2 14| KvKjx, Mwj I KYv wZb evÜex| KvKjx I cwj gv‡K©‡U wM‡h wb‡R‡`i Rb ̈ GKwU K‡i †cvkvK wKb‡jv| cieZ©x‡Z KYv Zv‡`i †cvkv‡Ki `vg Rvb‡Z PvB‡j KvKjx e‡jv (167)8 UvKv I cwj ejj (79)16 UvKv| [w`. †ev. 23] (K) msL ̈v c×wZi †eR ev wfwË Kx? (L) eûj e ̈eüZ 8 weU †KvWwU e ̈vL ̈v Ki| (M) KvKjx I cwji †cvkv‡Ki `vg `kwfwˇZ cÖKvk Ki| (N) †hv‡Mi gva ̈‡g Kvi †cvkv‡Ki `vg †ewk Zv we‡kølY Ki| DËi: (M) (121)10| 15| [w`. †ev. 23] Input Output A B C X 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 wPÎ- 1 wPÎ- 2 S C0 A B (K) KvD›Uvi Kx? (L) †Kvb eZ©bxi 2 n msL ̈K BbcyU n‡j n msL ̈K AvDUcyU nq? (M) wPÎ-1 n‡Z cÖvß X Gi mijxK...Z gvb‡K NAND †MBU Øviv ev ̄Íevqb Ki| (N) wPÎ-2 Øviv Kx GKwU c~Y© †hv‡Mi eZ©bx ev ̄Íevqb m¤¢e? we‡kølY Ki| 16| A, B I C Gi wbKU h_vμ‡g (1001000)2, (67)10 I (502)8 UvKv Av‡Q| [g. †ev. 23] (K) msL ̈v c×wZ ej‡Z Kx eyS? (L) 4 we‡Ui †KvWwU e ̈vL ̈v Ki| (M) A I B Gi Uvi cv_©K ̈ †hv‡Mi gva ̈‡g wbY©q Ki| (N) A, B I C Gi g‡a ̈ UvKvi cv_©K ̈ 16 †e‡m iƒcvšÍic~e©K DaŸ©μ‡g †`LvI| DËi: (M) A I B Gi UvKvi cv_©K ̈ n‡jv (00000101)2 ev (5)10 (N) (5)16 < (FA)16 <(FF)16 17| [g. †ev. 23] A B Y Logic Circuit wPÎ-1 Input Output P Q R 0 0 1 0 1 1 1 0 1 1 1 0 Truth Table wPÎ-2 (K) Gb‡KvWvi Kx? (L) ̳Output n‡jv Input Gi †h.w3K wecixZÕÑ e ̈vL ̈v Ki| (M) jwRK mvwK©UwU †Kvb †M‡Ui mgZzj ̈? e ̈vL ̈v Ki| (N) ÒïaygvÎ NOR Gate Øviv wPÎ-2 Gi gva ̈‡g wb‡`©wkZ †MUwU ev ̄Íevqb m¤¢eÓÑ we‡kølY Ki| DËi: (M) jwRK mvwK©UwU X-OR †M‡Ui mgZzj ̈| 18| [h. †ev. Õ23] Clock X Y Z (K) K¬vDW Kw¤úDwUs Kx? (L) Ò802.15 cÖhyw3i mvnv‡h ̈ †gvevBj †_‡K †gvevB‡j Qwe †cÖiY m¤¢eÓÑ eywS‡q †jL? (M) DÏxc‡K WU (.........) †ewóZ wWfvBm‡K e ̈vL ̈v Ki| (N) DÏxc‡Ki wP‡Î 4_©, 5g I 7g Cloock pulse Gi cÖ‡qv‡M X, Y I Z Gi gvb Kx n‡e? we‡kølY K‡i †`LvI|
4  HSC ICT Chapter-3 19| [wm. †ev. 23] (K) 2 Gi cwic~iK Kx? (L) evBbvwi 1 + 1 I eywjqvb 1 + 1 GK bqÑ e ̈vL ̈v Ki| (M) DÏxcK Abymv‡i y Gi mijxK...Z gvb wbY©q Ki| (N) DÏxc‡Ki 2 I 3 b¤^i wPwýZ †MU `yÕwUi cvi ̄úwiK cwieZ©‡b †h jwRK mvwK©U cvIqv hvq Zv evBbvwi †hv‡Mi eZ©bx‡Z e ̈envi Dc‡hvMxÑ hyw3 `vI| DËi: (M) y Gi mijxK...Z gvb n‡jv 1 20| ZvmwKb m ̈vi †kÖwYK‡ÿ ICT wel‡qi msL ̈v c×wZ wb‡q Av‡jvPbv KiwQ‡jb| K¬v‡mi GK ch©v‡q m ̈vi †mv‡nj I †ivnvb‡K wR‡Ám Ki‡jb †Zvgiv 1g mvgwqK cixÿvq ICT wel‡q KZ b¤^i †c‡qwQ‡j? †mv‡nj ejj (105)8, Ges †ivnvb ejj (4F)16, wcQ‡b e‡m _vKv wgZv ejj m ̈vi Avwg‡Zv (100111)2 b¤^i †c‡qwQ| [Xv. †ev. 19] (K) evBbvwi msL ̈v c×wZ Kx? (L) 6 + 5 + 3 = 1110 n‡Z cv‡iÑ e ̈vL ̈v Ki| (M) wgZvi cÖvß b¤^iwU `kwg‡K iƒcvšÍi Ki| (N) †mv‡nj I †ivnvb Gi cÖvß b¤^‡ii g‡a ̈ cv_©K ̈ †hv‡Mi gva ̈‡g wbY©q Kiv hvq wK-bv? we‡kølYc~e©K gZvgZ `vI| DËi: (M) (39)10 (N) †mv‡nj I †ivnvb Gi cÖvß b¤^‡ii cv_©K ̈ = (00001010)2 21| DÏxcKwU co Ges wb‡Pi cÖkœ ̧‡jvi DËi `vI : [Xv. †ev. 19] Input Output A B X 0 0 0 0 1 0 1 0 0 1 1 1 wPÎ-1 Input Output A B X 0 0 1 0 1 0 1 0 0 1 1 1 wPÎ-2 Input Output A B X 0 0 1 0 1 0 1 0 0 1 1 0 wPÎ-3 (K) Gb‡KvWvi Kx? (L) BDwb‡KvW ÒevsjvÓ fvlv eyS‡Z cv‡iÑ e ̈vL ̈v Ki| (M) wPÎ-1 †Kvb †MB‡Ui mv‡_ mv`„k ̈c~Y©? Zvi eY©bv `vI| (N) DÏxc‡Ki wPÎ-3 Gi †MBU w`‡q wPÎ-2 Gi †MBU‡K ev ̄Íevqb Kiv m¤¢e wK-bv? we‡kølYc~e©K gZvgZ `vI| 22| K...wó, wcqvj I gyw3 mncvVxi weevn Dcj‡ÿ ̈ h_vμ‡g (5D7)16, (750)8 I (999)10 UvKv w`‡q Dcnvi mvgMÖx μq Kij| [Xv. †ev. 19] (K) ASCII Kx? (L) 2- Gi cwic~iK wWwRUvj eZ©bx‡K mij K‡iÑ e ̈vL ̈v Ki| (M) DÏxc‡K DwjøwLZ K...wó I gyw3i Dcnvi mvgMÖxi g~j ̈ evBbvwi‡Z †gvU KZ n‡e wbY©q Ki| (N) wcqvj I K...wói Dcnvi μ‡qi g~j ̈ h_vμ‡g †n·v‡Wwm‡gj I `kwgK msL ̈vq wbY©q Ki| DËi: (M) (100110111110)2 ; (N) (1E8)16 ; (1495)10 23| wb‡Pi wPÎwU jÿ Ki Ges cÖkœ ̧‡jvi DËi `vI : [iv. †ev. 19] M R S X Z Y (K) †iwR÷vi Kx? (L) F = – AB + AC + BC mij Ki| (M) DÏxc‡K Y Gi mijxK...Z gvb wbY©q Ki| (N) Y Gi mijxK...Z gvb‡K NAND †MBU Øviv ev ̄Íevqb Ki| DËi: (M) M + R + S ––––––––– ; (N) M – .R – .S –––––– 24| wb‡Pi wPÎ wZbwU jÿ ̈ Ki: [h. †ev. 19] Ci A B C0 S wPÎ-1 wPÎ wPÎ- (K) mve©Rbxb †MBU Kx? (L) †Kv‡WW †WUv‡K Avb‡Kv‡WW †WUvq iƒcvšÍ‡ii wWfvBmwU e ̈vL ̈v Ki| (M) wPÎ-1 Ges wPÎ-2 Gi mgš^‡q •Zwi †hv‡Mi eZ©bxwU eY©bv Ki| (N) wPÎ-1 I wPÎ-2 Gi mgwš^Z eZ©bx Øviv wPÎ-3 ev ̄Íevqb m¤¢eÑ we‡kølYc~e©K gZvgZ `vI| A B