This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
Huu hapa ni ufumbuzi wa swali la mzunguko wa mantiki (logic circuit): a) Fig. 1 ni mzunguko wa mantiki. i) Chora jedwali lake la ukweli (truth table). Jedwali la ukweli linaonyesha matokeo ya mzunguko kwa kila mchanganyiko unaowezekana wa pembejeo. Kwanza, tunapata matokeo ya kila lango la mantiki: Lango la NOT (inverter) hutoa A. Lango la AND (lango la 3) hutoa Y_3 = A · B. Lango la AND (lango la 2) hutoa Y_2 = A · B. Lango la OR (lango la 4) hutoa X = Y_3 + Y_2. Jedwali la ukweli ni: |c|c|c|c|c|c| A & B & A & Y_3 = A · B & Y_2 = A · B & X = Y_3 + Y_2 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 1 & 0 & 1 \\ 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 \\ ii) Pata usemi wake wa mantiki (logic expression). Kutokana na uchambuzi wa mzunguko: Pembejeo A hupitia lango la NOT, ikitoa A. Lango la 3 (AND) hupokea A na B, hivyo matokeo yake ni Y_3 = A · B. Lango la 2 (AND) hupokea A na B, hivyo matokeo yake ni Y_2 = A · B. Lango la 4 (OR) hupokea matokeo ya lango la 3 na lango la 2, hivyo matokeo yake ya mwisho X ni: X = Y_3 + Y_2 Badilisha Y_3 na Y_2 kwenye usemi: X = (A · B) + (A · B) Tumia sheria ya usambazaji (distributive law) ya aljebra ya Boolean: X = B · (A + A) Tunajua kuwa A + A = 1: X = B · 1 X = B That's 2 down. 3 left today — send the next one.