Consider a four-input priority encoder with four active-low data inputs (/d3/d2/d1/d0) and two active-high code outputs (c1 c0) representing the highest priority input present. For example, if the input is "1001", the code output is "10", representing the number 2, because d2 is the highest active input. There is one additional active-high output valid bit (V) that indicates whether there were any active inputs. If there are no active inputs, the code output should "00", and V should be inactive. The valid bit is needed so that you can distinguish the case of having no active inputs from the case in which only d0 is active. Show the truth table for the priority encoder, using shorthand notation. Use a K-map to design a minimal circuit, and show the gate-level circuitry needed to implement the priority encoder. Add two enable inputs, one active-low (/EN1) and one active-high (EN2). If all data inputs are inactive, or if one or both of the enables are inactive, the priority encoder's code outputs should all be inactive, and the valid output V should be inactive. Consider a four-input priority encoder with four active-low data inputs (/d3/d2/d1/d0) and two active-high code outputs (c1 c0) representing the highest priority input present. For example, if the input is "1001", the code output is "10", representing the number 2, because d2 is the highest active input. There is one additional active-high output valid bit (V) that indicates whether there were any active inputs. If there are no active inputs, the code output should "00", and V should be inactive. The valid bit is needed so that you can distinguish the case of having no active inputs from the case in which only d0 is active. Show the truth table for the priority encoder, using shorthand notation. Use a K-map to design a minimal circuit, and show the gate-level circuitry needed to implement the priority encoder. Add two enable inputs, one active-low (/EN1) and one active-high (EN2). If all data inputs are inactive, or if one or both of the enables are inactive, the priority encoder's code outputs should all be inactive, and the valid output V should be inactive