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ECE 2020: Fundamentals of Digital Design

ECE 2020: Outline

  • Introduction to Computing Systems
    • building complex systems out of simple elements
    • examples in today's products
    • architecture block diagram: computation, storage, I/O, program

  • Switch Design
    • behavior versus implementation
    • truth tables
    • switch combinations: series and parallel
    • semiconductor switches: n-type and p-type
    • implementing logical functions
    • implementing basic gates
    • introduction to VLSI technology

  • Boolean Algebra
    • Boolean expressions and algebra
    • DeMorgan's square and DeMorgan's theorem
    • standard forms: SOP/POS using min/max terms

  • Gate Design
    • designing with gates versus switches
    • decoupling behavior and implementation using mixed logic
    • implementing SOP and POS expressions
    • gate delay and energy dissipation
    • pass gates and floating outputs

  • Simplification
    • expression simplification
    • Karnaugh maps
    • negative logic and don't cares

  • Building Blocks
    • binary representation of numbers
    • powers of two
    • encoders/decoders
    • pass gates and tri-state outputs
    • multiplexers/demultiplexers
    • programmable logic arrays

  • Number Systems
    • words versus bits
    • notations: decimal, binary, hexadecimal
    • representations: unsigned versus two's complement
    • representations: integer, fixed point, and floating point
    • symbolic representations

  • Arithmetic
    • addition and subtraction
    • ranges and resolutions
    • errors and overflows
    • adder/subtractor implementation

  • Latches and Registers
    • need for state
    • combinational vs. sequential logic
    • bistable element using basic gates
    • RS latch
    • transparent latch
    • shift register
    • registers
    • two phase non-overlapping clocking
    • edge versus level sensitive triggering
    • read enable and write enable
    • energy and power in a clocked system

  • Counters
    • basic toggle cell operation
    • building binary counters
    • building divide by N counters
    • cascading multi-digit counters

  • State Machines
    • state machine operation
    • transition diagrams
    • transition tables
    • state machine implementation: Moore and Mealy
    • state machine operation in behavioral HDL
    • in-class mini-lab: state machines

  • Memory
    • memory cell behavior and protocol
    • static random access memory (SRAM) cell
    • dynamic RAM (DRAM) cell
    • memory chip organization
    • building memory systems
    • bit, byte, and word addressing
    • alignment, byte order

  • Datapaths
    • operands: register file and immediate values
    • execution units: adder/subtractor, logical unit, shifter
    • basic datapath: three bus architecture
    • memory interface
    • programming datapaths in microcode

  • Introductory Assembly Programming
    • basic computer organization
    • instruction formats
    • datapath operations: arithmetic, logical, shift, memory
    • conditional execution (if-then-else)
    • basic loops (while)