Question

The three outputs x1x2x3 from a 8 x3 priority enxoder

Answer 1

8-to-3 Bit Priority Encoder

Output Q0

Output Q1

Output Q2

Then the final Boolean expression for the priority encoder including the zero inputs is defined as:

In practice these zero inputs would be ignored allowing the implementation of the final Boolean expression for the outputs of the 8-to-3 priority encoder. We can constructed a simple encoder from the expression above using individual OR gates as follows.

Digital Encoder using Logic Gates