218L20F08 - ESE218 Lecture 20: Register-based synchronous...

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11/20/08 ESE218 Fall 2008 Lecture 20 1 ESE218 Lecture 20: Register-based synchronous counters Outline ± Ring counter ± Johnson counter ± state decoding ± hang-up states ± design with self-correction ± Summary
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11/20/08 ESE218 Fall 2008 Lecture 20 2 Counter with unused states: ring counter Q A D CLK Q B D Q C D T A = Q A T B = Q B T C = Qc Q A Q B Q C CLK 011 110 7 110 101 6 000 000 5 101 011 4 111 111 3 100 001 2 001 010 1 010 100 0 N.S. Q* A Q* B Q* C P.S. Q A Q B Q C State # 1 0 0 1 0 0 0 1 0 “1-hot” state assignment unused states used states
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11/20/08 ESE218 Fall 2008 Lecture 20 3 Counter with unused states: twisted-tail or Johnson counter Q A D CLK Q B D Q C D Q A Q B Q C Q A Q B Q C CLK 101 010 7 010 101 6 101 001 5 001 011 4 011 111 3 111 110 2 110 100 1 100 000 0 N.S. Q* A Q* B Q* C P.S. Q A Q B Q C State # 1 0 0 0 1 1 1 1 1 0 1 11 0 0 The FF outputs of Johnson counters need to be decoded in order to obtain “1-hot-at-a-time” timing diagrams of ring counters
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11/20/08 ESE218 Fall 2008 Lecture 20 4 Counter with unused states: Johnson counter T 0 T 1 T 2 CLK T 0 Q A D CLK Q B D Q C D Q E D Q C ’Q E 0001 7 Q B ’Q C 0011 6 Q A
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This note was uploaded on 03/21/2010 for the course ESE 218 taught by Professor Donetsky during the Fall '08 term at SUNY Stony Brook.

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218L20F08 - ESE218 Lecture 20: Register-based synchronous...

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