static hazard

Duration: 3 min

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Inside: a video lesson and guided study material.

Module outline

  1. Section A | English: Vocabulary, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Preposition, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Articles, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Verbal Analogy (Word Based Analogy)
  2. Section A | Quant Aptitude: Ratio and Proportion (Ratios), Mixture and Alligation, Permutation and Combination, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Arithmetic, Algebra, Powers and Exponents (Surds and Indices), Average, Age Problems, Percentage, Profit and Loss, Partnership, Time and Work, Simple Interest and Compound Interest, Mensuration and Geometry, Probability, Pipe and Cistern
  3. Section A | Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Calendar, Clock, Blood Relations, Directions (Direction Test), Seating Arrangements, Ranking, Order and Sequence, Puzzle Solving (Puzzles)
  4. Section B | C Programming: C Programming by Yash Sir, Coding Questions by Yash Sir
  5. Section B | Data Structures: Algorithm Analysis, Greedy Algorithms, Time Complexity Analysis, Sorting Algorithms, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs
  6. Section B | OOP (C++): Object Oriented Programming (OOPS), Programming in C++
  7. Section B | OS: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS
  8. Section B | Networking: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics
  9. Section B | AI & Big Data Basics: AI & ML by Arun Sir, Big Data Systems
  10. Section C | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Analog-Digital Conversion
  11. Section A, C | Comp. Fundamentals, COA: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Multiprocessors, Programming the Basic Computer
  12. MOCK TEST:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The user wants a JSON summary of the provided video lecture. **1. Analyze the Video Content:** * **Topic:** Digital Logic Design, specifically Boolean functions, Karnaugh Maps (K-maps), and Static Hazards. * **Problem Statement:** The video starts with a question: "The Boolean function f(A, B, C, D) = Σm(2, 3, 5, 6, 7, 13) is implemented using its minimal SOP form. Will this circuit have any static hazard?" * **Methodology:** * The instructor draws a 4-variable K-map. * He labels the rows (AB) and columns (CD) with Gray code (00, 01, 11, 10). * He fills in the minterms: 2, 3, 5, 6, 7, 13. * He groups

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The user wants a JSON summary of the provided video lecture. **1. Analyze the Video Content:** * **Topic:** Digital Logic Design, specifically Boolean functions, Karnaugh Maps (K-maps), and Static Hazards. * **Problem Statement:** The video starts with a question: "The Boolean function f(A, B, C, D) = Σm(2, 3, 5, 6, 7, 13) is implemented using its minimal SOP form. Will this circuit have any static hazard?" * **Methodology:** * The instructor draws a 4-variable K-map. * He labels the rows (AB) and columns (CD) with Gray code (00, 01, 11, 10). * He fills in the minterms: 2, 3, 5, 6, 7, 13. * He groups the 1s to find the minimal Sum of Products (SOP) expression. * He identifies two groups: * Group 1: Minterms 2, 3, 6, 7. This corresponds to the term $\bar{A}C$. Wait, let me re-check the grouping. * Looking at the video around 0:20-0:30: * Minterms are at: * Row 00 (AB=00): Col 01 (2), Col 11 (3). * Row 01 (AB=01): Col 01 (5), Col 11 (7), Col 10 (6). Wait, 6 is at 0110. * Row 11 (AB=11): Col 01 (13). * Let's trace the groups drawn. * Group 1 (Green oval): Minterms 2, 3, 6, 7. * 2 (0010), 3 (0011), 6 (0110), 7 (0111). * Common variables: A=0, C=1. So term is $\bar{A}C$. * Group 2 (Green rectangle): Minterms 3, 7, 13... wait. * Let's look at the final expression written. * At 0:26, he writes $f(A,B,C,D) = \bar{A}C + B\bar{C}D$. * Let's check the groups for this. * $\bar{A}C$: Covers 2, 3, 6, 7. (Row 00 cols 11, 10? No. Row 00 is 0000-0011. Row 01 is 0100-0111. * Let's re-map the minterms carefully. * 2: 0010 (Row 00, Col 10). * 3: 0011 (Row 00, Col 11). * 5: 0101 (Row 01, Col 01). * 6: 0110 (Row 01, Col 10). * 7: 0111 (Row 01, Col 11). * 13: 1101 (Row 11, Col 01). * Okay, let's look at the groups drawn in the video. * Group 1 (Left oval): Covers 2, 3, 6, 7? No, looking closely at 0:20. * He circles 2, 3, 6, 7. Wait, 2 is 0010. 3 is 0011. 6 is 0110. 7 is 0111. * This group is $\bar{A}C$. * Group 2 (Right rectangle): Covers 3, 7, 13... wait. * He circles 3, 7, 13... and maybe 5? * Let's look at the final expression: $\bar{A}C + B\bar{C}D + \bar{A}BD$. * Wait, at 0:26 he writes $\bar{A}C + B\bar{C}D$. * Then at 0:28 he adds a redundant term $\bar{A}BD$ to remove the hazard. * Let's re-examine the groups. * Group 1: Minterms 2, 3, 6, 7. Term: $\bar{A}C$. * Group 2: Minterms 3, 7, 13... wait, 13 is 1101. 5 is 0101. * Let's look at the group for $B\bar{C}D$. * $B=1, C=0, D=1$. * Minterms: 0101 (5), 1101 (13). * So the group is 5 and 13. * So the minimal SOP is $\bar{A}C + B\bar{C}D$. * Wait, is 5 covered? Yes. Is 13 covered? Yes. * Is 2, 3, 6, 7 covered? Yes. * So minimal SOP is $f = \bar{A}C + B\bar{C}D$. * **Hazard Analysis:** * He checks for static hazards. A static-1 hazard occurs when two adjacent 1s are not covered by the same prime implicant. * He looks at the transition between the two groups. * Group 1 ($\bar{A}C$) covers 2, 3, 6, 7. * Group 2 ($B\bar{C}D$) covers 5, 13. * Are there adjacent 1s not covered by a single group? * Let's look at minterm 3 (0011) and minterm 2 (0010). Covered by $\bar{A}C$. * Let's look at minterm 3 (0011) and minterm 7 (0111). Covered by $\bar{A}C$. * Let's look at minterm 5 (0101) and minterm 7 (0111). * 5 is in group 2 ($B\bar{C}D$). * 7 is in group 1 ($\bar{A}C$). * They are adjacent (change in C). * Are they covered by a common group? No. * So there is a hazard between 5 and 7. * Let's look at minterm 13 (1101) and minterm 7 (0111). Not adjacent. * Let's look at minterm 13 (1101) and minterm 5 (0101). Covered by $B\bar{C}D$. * Let's look at minterm 13 (1101) and minterm 15 (1111). 15 is not a minterm. * Let's look at minterm 13 (1101) and minterm 9 (1001). 9 is not a minterm. * Let's look at minterm 13 (1101) and minterm 12 (1100). 12 is not a minterm. * Let's look at minterm 13 (1101) and minterm 5 (0101). Covered. * Wait, let's look at the transition between group 1 and group 2. * Group 1: $\bar{A}C$ (2, 3, 6, 7). * Group 2: $B\bar{C}D$ (5, 13). * Adjacent pairs: * (3, 7) - covered by $\bar{A}C$. * (2, 6) - covered by $\bar{A}C$. * (5, 13) - covered by $B\bar{C}D$. * (3, 2) - covered by $\bar{A}C$. * (7, 6) - covered by $\bar{A}C$. * (5, 7) - Adjacent (0101 vs 0111). 5 is in group 2, 7 is in group 1. No common group. **Hazard exists.** * (13, 15) - 15 is 0. * (13, 9) - 9 is 0. * (13, 12) - 12 is 0. * (13, 5) - covered. * (13, 11) - 11 is 0. * (13, 14) - 14 is 0. * (13, 9) - 9 is 0. * Wait, is there a transition between 13 and something else? * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110).

  2. 2:00 – 3:07 02:00-03:07

    14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list.

is not in list. * Let's check 13 (1101) and 14 (1110). 14 is not in list. * Let's check 13 (1101) and 5 (0101). Covered. * Let's check 13 (1101) and 11 (1011). 11 is not in list. * Let's check 13 (1101) and 15 (1111). 15 is not in list. * Let's check 13 (1101) and 9 (1001). 9 is not in list. * Let's check 13 (1101) and 12 (1100). 12 is not in list.

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