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Digital System Design

  1. Logic gates and Boolean Algebra
    • Theorems of Boolean Algebra
    • Variables, literals, minterms, maxterms, cubes
    • Two-level logic minimization
    • Incompletely specified logic functions
    • Canonical representations of logic functions
  2. Combinational Logic
    • Shannon's Expansion Theorem
    • Multi-level logic optimization
    • Timing analysis
    • Special circuits – MUXes, Decoders, Encoders, PLAs, FPGAs, CPLDs,
  3. Arithmetic Circuits
    • Addition
    • Subtraction and 2's complement
    • Multiplication
    • Division
    • Arithmetic Sums-of-products
    • Floating point arithmetic
  4. Sequential Design
    • Latches, Flip-flops, Registers
    • Counters
    • State machines
    • Incomplete specification and non-determinism
  5. MOS based Logic Circuits
    • Basic MOS based realization of logic elements
    • Circuit design styles
    • Design of gates and memory elements
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