An N-bit priority encoder reads N bits (A_n, A_n - 1,...,A_2,A_1) and produces a

Question

An N-bit priority encoder reads N bits (A_n, A_n - 1,...,A_2,A_1) and produces a binary number that represents the lowest index of the input bit which is true. For example: if (A4,A3,A2,A1)= (0,1,1,0) then (Y2,Y1,Y0) = (0,1,0). If all the bits are False, the encoder will produce zeros on the output bits. Design a 4-bit priority encoder by answering the following questions: A. Complete both the truth tables given in your answer sheet. Note that the order of input columns is different in each case.

Explanation / Answer

A4 A3 A2 A1 Y2 Y1 Y0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 A1 A2 A3 A4 Y2 Y1 Y0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 0 0 1

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