Write a code for this flow chart in the VHDL programming language for this FPGA board.

Convert the function F = A' + B'C + BC'D' to а. a two-level NAND-NAND form b. a two-level NOR-OR form

Propositional logic is used in the creation of conditional logic for software programs in cases where the Boolean test is required. For example, ladder logic used by PLC (programmable logic controller) programmers control the response to a circuit being in an open or closed state, based on specific conditions stated in the logic. PLCs are used in numerous environments, such as manufacturing product lines, elevators, and many industrial applications. What other computer-science or IT jobs rely on propositional logic?

Provide a detailed logic diagram for a multiplexer that could be used in an FPGA.