Title অধ্যায় ৩ সংখ্যা পদ্ধতি ও ডিজিটাল ডিভাইস-03 with solve.pdf ✅

msL ̈v c×wZ I wWwRUvj wWfvBm  ICT Decoder Batch HSC 26 --------------------------------------------------------------------------- 3 bvwd‡Ri Mo ivb = (1010001)2 = (1010001)2 [8 weU evBbvwi] 1 Gi cwic~iK = 10101110 + 1 2 Gi cwic~iK = 10101111 + Iwn‡`i Mo ivb = 00110101 –– bvwd‡Ri iv‡bi 2 Gi cwic~iK = +11100110 cv_©K ̈ = 1 00010001  K ̈vwi weU / I fvi‡d¬v K ̈vwi weU = Ifvi‡d¬v [hv MÖnY‡hvM ̈ bq GLv‡b]  Iwn` I bvwd‡Ri Mo iv‡bi cv_©K ̈ (110)2 ev (6)10 cÖkœ4 wPÎ-1 wPÎ-2 wPÎ-2 (K) Gb‡KvWvi Kx? [P. †ev. 24] (L) 1 + A = 1 e ̈vL ̈v Ki| [P. †ev. 24] (M) wPÎ-1 I wPÎ-2 Gi mgwš^Z mvwK©U evBbvwi †hv‡Mi mvwK©U‡K cÖwZwbwaZ¡ K‡iÑ e ̈vL ̈v Ki| [P. †ev. 24] (N) 3wU Bbcy‡Ui †ÿ‡Î wPÎ-3 Gi mvwK©U we‡kølY Ki| [P. †ev. 24] mgvavb: K Gb‡KvWvi GK we‡kl ai‡bi †KvW hv AvjdvwbD‡gwiK †KvW, eY©, wPý‡K evBbvwi †Kv‡W iƒcvšÍi K‡i| L 1 + A = 1 n‡jv eywjqvb A ̈vj‡Reavi GKwU †g.wjK Dccv` ̈| GB Dccv` ̈wU Ai Acv‡ikb‡K we‡kølY K‡i| Dccv` ̈wUi mZ ̈Zv mZ ̈K mviYxi gva ̈‡g hvPvB Kiv n‡jv: A 1 Output 0 1 1 1 1 1  A Gi gvb hvB †nvK bv †Kb 1 Gi mv‡_ A Gi Ai Acv‡ik‡b AvDUcyU me©`vB 1|  1 + A = 1 Dccv` ̈wUi mZ ̈Zv cÖgvwYZ| M wPÎ-1 Øviv AND †MBU Ges wPÎ 2 Øviv XOR †MBU‡K †evSv‡bv n‡q‡Q| AND †MBU I XOR †MB‡Ui mgwš^Z mvwK©U n‡jv nvd A ̈vWvi ev evBbvwi †hv‡Mi mvwK©U‡K cÖwZwbwaZ¡ K‡i| nvd A ̈vWv‡ii jwR‡K WvqvMÖvg: A B C = AB S = A  B eøK WvqvMÖvg: A B S C H / A †h A ̈vWv‡ii mvnv‡h ̈ evBbvwi `ywU we‡Ui †hvMdj (S) Ges nv‡Z _vKv K ̈vwi (C) wbY©q Kiv hvq Zv‡K nvd A ̈vWvi e‡j| mZ ̈K mviYxi gva ̈‡g hvPvBKiY: awi, nvd A ̈vWv‡ii 1wU weU A Aci weU B, †hvMdj S, K ̈vwi C mZ ̈K mviYx: Input Output A B S C 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 mZ ̈K mviYx n‡Z cÖvß mgxKiY: S = A – B + AB – = A  B C = AB A_©vr Half-adder-G GKwU XOR †MBU Ges Av‡iKwU AND †MBU _v‡K| ZvB wPÎ-1 I wPÎ-2 Gi mgwš^Z mvwK©UwU Half Adder †K cÖwZwbwaZ¡ K‡i| N DÏxc‡K wPÎ-3 Gi mvwK©UwU n‡jv Half Adder| wZb Bbcy‡Ui †ÿ‡Î D3 mvwK©UwU dzj A ̈vWv‡ii g‡Zv KvR Ki‡e| dzj A ̈vWv‡ii Rb ̈ wZbwU BbcyU (2wU weU Ges 1wU K ̈vwi) I `ywU AvDUcyU (†hvMdj I K ̈vwi weU) _v‡K| dzj A ̈vWv‡ii mZ ̈K mviYx wb¤œiƒc: Input Output A B Ci S C0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 mZ ̈K mviYx n‡Z jwRK dvskb: S = A – B – Ci + A – BCi + A.B – .Ci – + A.B.Ci = A – BCi + AB.Ci + AB – Ci + ABCi + ABCi – + A.B.Ci = BCi(A + A – ) + ACi (B + B – ) + AB (Ci + Ci – ) = BCi.1 + ACi.1 + AB.1 [ A + A – = 1] = AB + BCi + ACi dzj A ̈vWv‡ii jwRK mvwK©U: A B C0 = AB + BCi + ACi S = A  B  C Ci