The connections shown in figure P824 are made to the74151 8l

The connections shown in figure P8-24 are made to the74151 8-line multiplexer. Determine Y and Yoverbar. What levels must be placed on S_0,S_1,S_2 to route the input on I_6 to the output?

Solution

basically 74151 is a multiplexer. S0, S1, S2 are select lines. Using these select we are going to have different outputs. the values on S2, S1, and S0 are 1, 0, 1. therefore the output line that corresponds to 101 is 5 i.e., I5. the values that is given to I5 is 0. therefore the output Y=1 and Y\'= 0.

Now, we want to route the input I6 to the output. so we must give values to selection lines such that I6 is selected. to select I6 the binary representation of 6 is 110. therefore the values that must be placed on selection lines are S0 = 0, S1 = 1 and S2 = 1.