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Codiode/Problems/Combinational Logic

Convert SOP to Minimal POS Using Algebraic Factoring

HardLogic CircuitAnalyze

NOR-based logic synthesis requires Boolean expressions to be formatted in Product of Sums (POS) form to minimize transistor count. The expression F = AB + CD represents a circuit optimized for AND-OR logic. This is a minimal Sum of Products (SOP) expression.

Convert this expression into a minimal POS form using algebraic factoring. Analyze the distribution steps required to bridge these two canonical forms without relying on a truth table.

Constraints

  • Do not expand the expression to canonical minterm form before factoring
  • Final expression must be the minimal POS equivalent
  • Format short answers without spaces and order variables alphabetically within each term

Topics

Boolean AlgebraPOSSOPMinimization

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