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Lecture 2 – Combinational Circuits and Verilog

Lecture 2 Combinational Circuits and Verilog CSE P567 Example: r1 = r2 + r3 We need: Registers Adder function ( Combinational logic ) Wires Example: r1 = r2 + r3 We need: Registers adder function ( Combinational logic ) Wires Selection function We won t always want r2 and r3 Combinational logic functions with no state Output is a function of the inputs only no history add subtract multiply count-ones FSM next state function All computation is done in binary Primitive circuit values are on/off, Vdd/GND, current/no current Review: Binary Encoding of Numbers Unsigned numbers bn-12n-1 + bn-22n-2 + .. + b020 2s complement encoding of signed numbers -bn-12n-1 + bn-22n-2 +.

Multi-Level Logic Minimization Factor function into smaller functions Smaller gates Fewer gates Deeper circuit – cost/performance tradeoff Needed for FPGAs and semi-custom ASICs Circuit libraries with “small” gates Developed in the 1980s and 90s Much more difficult problem than 2-level minimization

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