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Course Co-ordinated by IIT Kharagpur
Prof. D. Roychoudhury
IIT Kharagpur


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Mathematics 3 (Web Course)


1. Introduction to Digital Design (4hr.)
     - What is Digital ?
     - Specification and Implementation of digital design
     - Structured and Trial-Error methods in design
     - Digital Computer Aided Design (CAD) tools

2. Digital Logic (8hr.)
     - Binary Number System
     - Octal, Hexa-decimal and BCD Codes
     - Number System Conversion
     - Use of different number systems in digital design
     - Logic gates – AND, OR, NOT, NAND, NOR etc.
     - NAND and NOR implementation of real life digital circuits
     - Digital Circuit Characterization – Fan-in/Fan-out, Switching functions, Switching
       times, Noise margin etc.

3. Boolean Algebra (8hr.)
     - AND, OR and other relations
     - DeMorgan’s law
     - Karnaugh Maps
     - Minimization of Sum of Products and Product of Sums
     - Design of minimal two-level gate networks
     - Design of multiple output two level gate networks

4. Combinational Circuit Design (5hr.)
     - Design Procedure
     - Design of Multiplexer, Decoder, Encoder, Comparator
     - Design of Seven-segment display, Parity generator
     - Design of large circuits using the above modules

5. Synchronous Sequential Circuit Design ( 5hr.)
     - Design of sequential modules – SR, D, T and J-K Flip-flops
     - Flip-flop applications – Clock generation, Counters, Registers
     - Basic State machine concepts

6. Design of Programmable Logic (4hr.)
     - Introduction to Programmable circuits
     - Design of Read-Only Memory (ROM), Programmable Logic Arrays (PLA),
       Programmable Array Logic (PAL)

7. Digital Computing (6hr.)
     - Introduction to digital computer
     - Design of Arithmetic circuits – Adders, Multipliers
     - Design of Memory – ROM/RAM
     - Design of a simple CPU

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