Design and implement a binary-encoded sequential circuit subject to the following specifications. This circuit is going...

Design and implement a binary-encoded sequential circuit subject to the following specifications.

This circuit is going to be used to control access to security system. It has a single 2-bit wide input, called X = X₁X₀ that represents a key-pad that is capable of accepting numbers 0 to 3, representing digits of a passcode. It has a single 1-bit wide output, called F, that is attached to the disarming mechanism. The behavior is that if the correct passcode is entered (in the proper order) on X (where the rising edge of the clock represents ‘entering’ the each ‘digit’ of the passcode on X into the system), then the output, F, will be asserted to 1, otherwise, it outputs 0. The 3-digit passcode is 2,1,3. When implementing the binary encoded circuit, show both the minimum sum of product (MSOP) technique and equations.

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