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Combinational Logic

Combinational Logic. Outline. 4.1 Introduction 4.2 Combinational Circuits 4.3 Analysis Procedure 4.4 Design Procedure 4.5 Binary Adder- Subtractor 4.6 Decimal Adder 4.7 Binary Multiplier 4.9 Decoders 4.10 Encoder 4.11 Multiplexers. Introduction. Combinational Circuits.

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Combinational Logic

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  1. Combinational Logic

  2. Outline • 4.1 Introduction • 4.2 Combinational Circuits • 4.3 Analysis Procedure • 4.4 Design Procedure • 4.5 Binary Adder- Subtractor • 4.6 Decimal Adder • 4.7 Binary Multiplier • 4.9 Decoders • 4.10 Encoder • 4.11 Multiplexers

  3. Introduction

  4. Combinational Circuits

  5. Analysis Procedure

  6. Analysis Procedure Example

  7. Analysis Procedure Example

  8. Truth Table

  9. Design Procedure

  10. Design Method and Constraint

  11. BCD To Excess-3 Code Conversion

  12. BCD To Excess-3 Code Conversion

  13. BCD To Excess-3 Code Conversion

  14. Logic diagram for BCD-to-excess-3 Converter

  15. 1-Bit Half Adder

  16. Implementation of Half Adder

  17. 1- Bit Full Adder

  18. Implementation of full adder in sum-of-products form

  19. Implementation of Full Adder With Two Half Adders and an OR gate

  20. 4- Bit Full Adder

  21. Carry Lookahead Adder (1/7)

  22. Carry Lookahead Adder (2/7)

  23. Carry Lookahead Adder (3/7)

  24. Carry Lookahead Adder (4/7)

  25. Carry Lookahead Adder (5/7)

  26. 4-Bit Adder/Subtractor

  27. Overflow Discussion

  28. BCD Adder

  29. Truth Table of BCD Adder

  30. Logic Diagram of BCD Adder

  31. Binary Multiplier

  32. Bit by 3-Bit Binary Multiplier

  33. Decoder

  34. Three-to-Eight Line Decoder

  35. Demultiplexer

  36. Decoder Examples • 3-to-8-Line Decoder: example: Binary-to-octal conversion. D0 = m0 = A2’A1’A0’ D1= m1 = A2’A1’A0 …etc

  37. Implementation

  38. Encoder z = D + D + D + D 1 3 5 7 The encoder can be implemented y = D + D + D + D 2 3 6 7 with three OR gates. x = D + D + D + D 4 5 6 7

  39. Encoder

  40. Priority Encoder

  41. Priority Encoder

  42. Priority Encoder

  43. 4-11 Multiplexers

  44. 4-to-1-line multiplexer

  45. Quadruple two-to-one-line multiplexer

  46. Boolean function implementation

  47. Three-State Gate

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