Digital Electronics Unit 1 Notes AKTU (BOE310)

AKTU · BTECH · Semester 3, 4 · Digital Electronics · Unit 1 · Notes

AKTU Digital Electronics (BOE310) Unit 1 notes for B.Tech Semester 3/4 – Digital System, Binary Numbers and Logic Simplification. Topics: Number Systems and…

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Unit 1: Digital System, Binary Numbers and Logic Simplification – AKTU syllabus topics

  • Number Systems and Arithmetic: Number System Conversions, Signed Binary Numbers
  • Binary Codes and Conversion: BCD and Code Conversion
  • Boolean Algebra and De Morgan: SOP POS Canonical Forms, De Morgan Theorem, Boolean Laws and Theorems
  • Karnaugh Map Simplification: Don't Care Conditions, POS Simplification, Five Variable K-Map, Quine McCluskey Method
  • NAND NOR Implementation
  • Quine McClusky Tabular Method

Most asked AKTU PYQ questions from Unit 1

  1. Q3a. Implement NOT, OR, AND, EX-OR, EX-NOR, NOR (all 2-inputs except NOT Gate) gates using minimum number of 2-input NAND Gates. (10 marks, 2022-23)
  2. Q3a. Design an XOR gate by using NAND gate implementation. (10 marks, 2022-23)
  3. Q3b. Define the De-Morgan's theorem of Logic Simplification for SOP & POS forms. (10 marks, 2022-23)
  4. Q2a. Implement the Boolean function F(x,y,z) = ∑(1,2,3,4,6,7) using NAND gates. (10 marks, 2022-23)
  5. Q3a. Simplify Y = ∑m(3,6,7,8,10,12,14) + d(0,1,6,15) using K-map method and implement the simplified circuit using logic gates. (10 marks, 2022-23)
  6. Q2a. Realize a 3-input gate using 2-input gates for the following gates: (i) AND (ii) OR (iii) NAND (iv) NOR (10 marks, 2021-22)
  7. Q3b. (i) Reduce the expression f = ∑m(0,1,2,3,5,7,8,9,10,12,13) using K-maps and implement the real minimal expression using NAND logic. (ii) Design the logic circuit for a BCD to decimal decoder. (10 marks, 2021-22)
  8. Q2a. Explain the implementation of an X-OR gate with NAND implementation. (10 marks, 2021-22)
  9. Q3a. Minimize the following Boolean function using K Map: f(A, B, C, D) = Σm(0, 1, 4, 8, 9, 10) + Σd(2, 11) (10 marks, 2021-22)
  10. Q2a. Simplify the Boolean expression using K-map F (A, B, C, D) = ∏ M (4,5,6,7,8,12). d (0, 1, 2, 3, 9, 11, 14) (7 marks, 2024-25)

AKTU paper codes: BOE310, BOE410, BOE310H, BOE410H, KOE039, BEE401, KEE401, KOE049

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