Using combinational circuit design techniques, derive the Boolean expressions listed in Table 11-2 for the priority encoder. Draw the logic diagram of the circuit.

Table 11-2

Inputs 10 11 12 13 1 oooo. 0 0 0 0 0001X TABLE 11-2 Priority Encoder Truth Table Outputs X X100 0 0 1 1 000 X X X XXX-O Y IST 0 1 0 1 1 1 1 1 0 Boolean functions x = 1'61'i y = I'ol + 1'61' (IST) = 10 + 1 + 1 +13