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Codiode/Problems/Combinational Logic

Boolean Expression Simplification: 4-Variable Expression

HardLogic CircuitAnalyze

Hardware compilers rely on algebraic reduction algorithms to minimize logic gates before mapping them to physical standard cells.

The expression under analysis is a four-variable sum-of-products function given by F = A'B'C'D + A'B'CD + A'BC'D + A'BCD.

Simplify the expression algebraically to its minimal sum-of-products form. Identify the Boolean laws required to reduce the logic and determine the final literal count.

Constraints

  • The simplification must yield the absolute minimal Sum-of-Products (SOP) form.
  • Assume standard precedence of Boolean operators: NOT, AND, OR.

Topics

boolean-algebracombinational-logicsimplification

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