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![Copyright Muhammad A M IslamSBE202A Digital Arithmetic Operations and Circuits 329/21/2020
Troubleshooting Case Study
• Determine the most likely fault…
Mode 1:
ADD = 0, SUB = 0.
Σ = A + 1.
Mode 2:
ADD = 1, SUB =
0.
Σ = A + B + 1.
Mode 3:
ADD = 0, SUB = 1.
Σ = [A] - [B].](https://image.slidesharecdn.com/toccich6digitalarithmeticoperationsandcircuits-200921073102/75/Tocci-ch-6-digital-arithmetic-operations-and-circuits-30-2048.jpg)
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Tocci ch 6 digital arithmetic operations and circuits
The document discusses digital arithmetic operations and circuits, including binary addition, representing signed numbers, addition and subtraction in the two's complement system, multiplication and division of binary numbers, BCD addition, hexadecimal arithmetic, and arithmetic circuits. It describes how an ALU performs arithmetic operations by accepting data from memory and executing instructions from the control unit, using adders, registers, and control signals to perform addition and subtraction.
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Tocci ch 6 digital arithmetic operations and circuits
- 1. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 19/21/2020 Digital Arithmetic Operations and Circuits
- 2. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 29/21/2020 Binary Addition Binary Addition
- 3. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 39/21/2020 Representing Signed Numbers
- 4. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 49/21/2020 Addition in 2’s Complement System
- 5. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 59/21/2020 Subtraction in 2’s Complement System
- 6. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 69/21/2020 Multiplication of Binary Numbers
- 7. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 79/21/2020 Binary Division
- 8. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 89/21/2020 BCD Addition
- 9. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 99/21/2020 Hexadecimal Arithmetic
- 10. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 109/21/2020 Arithmetic Circuits
- 11. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 119/21/2020 Arithmetic Circuits ALU accepts data From memory, and executes operations as instructed by the control unit.
- 12. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 129/21/2020 Add a number from the memory to the Accumulator contents. Arithmetic Circuits
- 13. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 139/21/2020 The number is transferred from memory to the B register. Arithmetic Circuits
- 14. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 149/21/2020 The numbers in B register and accumulator register are added in the logic circuit, with sum sent to accumulator for storage. Arithmetic Circuits
- 15. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 159/21/2020 The new number remains in the accumulator for further operations—or can be transferred to memory for storage Arithmetic Circuits
- 16. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 169/21/2020 Parallel Binary Adder
- 17. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 179/21/2020 Parallel Binary Adder
- 18. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 189/21/2020 Design of a Full Adder
- 19. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 199/21/2020 Design of a Full Adder
- 20. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 209/21/2020 Complete Parallel Adder with Registers Four-bit parallel adder circuit, including the storage registers.
- 21. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 229/21/2020 Complete Parallel Adder with Registers
- 22. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 239/21/2020 Carry Propagation • Limits parallel adder speed. • called carry ripple. • Look-ahead carry: to reduce the propagation delay.
- 23. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 249/21/2020 Integrated Circuit Parallel Adder
- 24. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 259/21/2020 Integrated Circuit Parallel Adder
- 25. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 279/21/2020 2’s Complement System
- 26. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 289/21/2020 2’s Complement System
- 27. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 299/21/2020 2’s Complement System • The adder/subtractor circuit has two control signals ADD and SUB. – ADD: A + B. – SUB: A ─ B.
- 28. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 309/21/2020 Combined Addition and Subtraction B0 𝐴𝑑𝑑/𝑆𝑢𝑏
- 29. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 319/21/2020 ALU Integrated Circuits The 74LS382 (TTL) and HC382 (CMOS) is a typical device with 8 functions.
- 30. Copyright MuhammadA M IslamSBE202A Digital Arithmetic Operations and Circuits 329/21/2020 Troubleshooting Case Study • Determine the most likely fault… Mode 1: ADD = 0, SUB = 0. Σ = A + 1. Mode 2: ADD = 1, SUB = 0. Σ = A + B + 1. Mode 3: ADD = 0, SUB = 1. Σ = [A] - [B].