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Codiode/Problems/Combinational Logic

Identify a Static-0 Hazard from the POS K-Map

HardLogic CircuitAnalyze

NOR-based and OR-AND logic architectures natively implement Product-of-Sums expressions but are susceptible to transient glitches during specific input transitions.

The circuit below implements the Boolean function Y = (A + C)(B' + C') using two OR gates feeding into a single AND gate. The Karnaugh map for this function groups the 0-cells into two prime implicates: one covering maxterms M0 and M2, and another covering maxterms M3 and M7.

Analyze the maxterm adjacency and determine the specific input transition that produces a static-0 hazard at Y. Identify the gate-level timing mechanism that allows the transient spike to occur.

Constraints

  • Assume all logic gates have a non-zero, equal propagation delay.
  • The inputs are ideal and transition instantaneously.
  • Signal notation uses prime ' for negation.

Topics

boolean-algebrak-maphazardspos-logic

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