Practice Question

Duration: 3 min

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Module outline

  1. About the course: About the Course
  2. General Knowledge: Polity, Physics, Biology, State Wise GK, Chemistry, History, Geography, GK- Current Affairs, Indian Economy, Static General Knowledge, Environment, Evolution of Indian Banking (Banking & Financial Awareness)
  3. Mental Aptitude and Reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Permutation and Combination, Number System, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Vocabulary, Profit and Loss, Arithmetic, Mental Ability, Percentage, Algebra, Mensuration and Geometry, Age Problems, Clock, Calendar, Verbal Analogy (Word Based Analogy), Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Analogy, Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Selection Decision Table (Decision Making), Cubes & Dices, Blood Relations, Venn Diagram, Logical Sequence Of Words, Inequality, Directions (Direction Test), Data Arrangement, Facts, Inference and Judgements, Syllogisms, Seating Arrangements, Ranking, Order and Sequence
  4. CS | Computer Fundamentals: Basics of COA, Number System, Number Representation, C Fundamentals, Algorithm Analysis, Input Output Organisation
  5. CS | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, SQL
  6. CS | Workplace productivity Tools: MS Office Applications, Keyboard Shortcuts
  7. CS | Computer Networks: Introduction to CN, Data Communication, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, Application Layer, Hardware Basics, Network Security
  8. CS | The Internet: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Web Publishing & Hosting, Server Side & Security, Emerging Technologies
  9. CS | Emerging Technologies: Artificial Intelligence, Emerging Tech Trends, Introduction to OS, Windows OS, Linux OS, Unix OS, JavaScript-Basics
  10. CS | Boolean algebra: Digital Systems & Boolean Basics, Boolean Expression, Boolean Minimization, Logic Gates & Hardware
  11. CS | Data Structures: Introduction to DS, Array, Stack, Queue
  12. CS | Cryptography: Society, Law & Ethics, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security
  13. UP Police Previous Year Papers:
  14. UP Police Full Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This short practice-question video analyzes a 4-variable Boolean function using a Karnaugh map. The slide asks for the number of prime implicants (PI), essential prime implicants (EPI), different minimal expressions, and literals in the minimal expression. The instructor identifies eight minterms marked as 1s on the map, writes “8” for PI, and concludes there are zero EPI because every 1 can be covered by multiple overlapping groups. Later frames show handwritten product terms, a red “2” for the number of different minimal expressions, and a red “12” for literals.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The slide shows “Q Consider the functions given below ?” with four numbered items: Number of PI, Number of EPI, Number of different minimal expression possible, and Number of literals in minimal expression. A 4x4 K-map has column headers ab (a'b' 00, a'b 01, ab 11, ab' 10) and row headers cd (c'd' 00, c'd 01, cd 11, cd' 10), with eight cells containing 1. Around 25s a red circle encloses two stacked 1s in the a'b' column. The instructor then writes “8” beside Number of PI and “0” beside Number of EPI, with a green arrow pointing to the K-map to indicate that no minterm is covered by only one group.

  2. 2:00 – 2:47 02:00-02:47

    The same K-map remains visible, with the eight 1 cells circled in red or green. Handwritten product terms such as b'cd + a'cd appear near the EPI answer, reinforcing that overlapping groups cover all minterms. A red “2” is written beside question 3, Number of different minimal expression possible, and a red “12” appears beside question 4, indicating the total literal count in the minimal expression.

The lesson demonstrates how to extract K-map quantities from a 4-variable map. The key method is grouping all minterms into prime implicants, then checking whether any 1 belongs to only one group. Since every minterm can be covered by more than one overlapping loop, the EPI count is 0. The visible answers are PI = 8, EPI = 0, two different minimal expressions, and 12 literals in the minimal expression. The evidence is limited to sampled screenshots, so the exact grouping steps and product-term list are only partially visible.

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