Identify the Subexpression Shared Between Two Output Paths in a Multi-Output Circuit
Hardware synthesis tools routinely optimize logic by identifying common terms across multiple datapath outputs to minimize gate count. The schematic displays a multi-output combinational circuit with inputs A, B, C, and D. An AND gate processes A and B, and its output fans out to two distinct downstream paths. One path feeds an OR gate to produce output F1 alongside input C. The second path feeds a different OR gate to produce output F2 alongside input D. Analyze the fan-out paths and determine the Boolean expressions for F1 and F2. Identify the shared subexpression and evaluate its impact on the total gate count of the circuit.
Constraints
- Assume all logic gates are standard 2-input CMOS devices.
- Output expressions must reflect the exact topology of the provided circuit.
Topics
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