Digital Logic 09 | Sequential Circuit- Counters | CS, IT & EE, ECE | GATE Crash Course

This session focuses entirely on the analysis and comprehensive design of Synchronous Counters, which are essential for high-speed digital systems due to their lack of propagation delay. We detail the systematic design procedure, beginning with drawing the State Diagram, constructing the State Table, utilizing Flip-Flop Excitation Tables (for JK or D Flip-Flops), and finally employing Karnaugh Maps to derive the minimized logic expressions for the counter inputs. We cover design examples for both standard binary counters and Mod-N counters with truncated sequences, including the essential check for self-starting capability. 📕 𝐁𝐚𝐭𝐜𝐡/𝐂𝐨𝐮𝐫𝐬𝐞 𝐋𝐢𝐧𝐤𝐬:- GATE GURUKUL Course Link - https://www.geeksforgeeks.org/courses/gate-premium All courses - https://www.geeksforgeeks.org/courses/category/gate?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE Agni Pariksha Batch Link - https://www.geeksforgeeks.org/payments/gate-cse-agni-pariksha GATE 2026 CS & IT Test Series Link - https://www.geeksforgeeks.org/courses/gate-cse-it-test-series-2026 GATE 2026 DA Test Series Link - https://www.geeksforgeeks.org/courses/gate-da-testseries-2026 Mission ISRO CSE - https://www.geeksforgeeks.org/courses/mission-isro-cse Mission ISRO ECE - https://www.geeksforgeeks.org/courses/mission-isro-ece GATE SPL. Combo Course - CSIT + DA 2026 (Combo course) - https://www.geeksforgeeks.org/courses/gate-csit-da-2026?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (With Placement Prep) - https://www.geeksforgeeks.org/courses/gate-2026-placement-csit-da?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE CSE Weekday (2026) - https://www.geeksforgeeks.org/courses/gate-2026-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2027) - https://www.geeksforgeeks.org/courses/gate-2027-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2028) - https://www.geeksforgeeks.org/courses/gate-2028-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE CSE Weekend (2026) - https://www.geeksforgeeks.org/courses/gate-2026-csit-weekend?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE CSIT With Placement Preparation Complete Course (2026) - https://www.geeksforgeeks.org/courses/gate-2026-placement-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE Rank Booster With Expert - Curated Questions - https://practice.geeksforgeeks.org/courses/gate-rank-booster GATE CSIT With Placement Preparation Complete Course (2027) - https://www.geeksforgeeks.org/courses/gate-2027-placement-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2028) - https://www.geeksforgeeks.org/courses/gate-2028-placement-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE SPL. Combo Course - CSIT + DA (2027) - https://www.geeksforgeeks.org/courses/gate-csit-da-2027?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2027 + Placement Prep.) - https://www.geeksforgeeks.org/courses/gate-2027-placement-csit-da?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2028) - https://www.geeksforgeeks.org/courses/gate-csit-da-2028?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2028 + Placement Prep.) - https://www.geeksforgeeks.org/courses/gate-2028-placement-csit-da?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions Gate CSE Semester & Placement Preparation (2027) - https://www.geeksforgeeks.org/courses/gate-cse-2027-semester-placement?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2028) - https://www.geeksforgeeks.org/courses/gate-cse-2028-semester-placement?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions For any query visit https://www.geeksforgeeks.org/courses/category/gate Or reach us at +91-08069289001 RECOMMENDED CHANNELS FOR YOU: GeeksforGeeks GATE EE/EC/IN - https://www.youtube.com/@GfG_EC_EE_IN GeeksForGeeks GATE English - https://www.youtube.com/@GeeksforGeeksGATEEnglish 📚 Stay tuned for more Maha Marathon sessions on all GATE topics! 💬 Don't forget to comment your doubts and feedback! 👉 Subscribe to our channel for more GATE preparation content and hit the 🔔 to never miss an update! 👍 Like | 🔄 Share | 📢 Spread the word 00:00 Intro 1:00 Counters 36:46 Asynchronous Counter #SynchronousCounter #CounterDesign #SequentialCircuits #ExcitationTable #StateDiagram #KarnaughMap #DigitalLogic #MODCounter #FlipFlopDesign