Design an octal-to-binary priority encoder, and specify its truth table. Provide an output, V, which indicates validity (that is, at least one of the inputs is present.) V is 1 when at least 1 input is present; otherwise, V is 0. The input with the highest subscript number (listed from L to R as D0 to D7) has the highest priority. The binary numeric outputs are x, y and z. Indicate what the value of the four outputs are if D2 and D6 are 1 at the same time.

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