Design a digital circuit with three 16-bit registers AR, BR, and CR that perform the following operations:
(a) Transfer two 16-bit signed numbers (in 2’s - complement representation) to AR and BR .
(b) If the number in AR is negative, divide the number in AR by 2 and transfer the result to register CR .
(c) If the number in AR is positive but nonzero, multiply the number in BR by 2 and transfer the result to register CR .
(d) If the number in AR is zero, clear register CR to 0.
(e) Write and verify a behavioral model of the circuit.
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