Construct a multiplexer using and gates or gates and

Question

Question: Construct a multiplexer using AND gates, OR gates, and inverters that has as input the four bits x₀, x₁, x₂, and x₃ and the two control bits c₀ and c₁. Set up the circuit so that xi is the output, where i is the value of the two-bit integer (c₁c₀)₂

The depth of a combinatorial circuit can be defined by specifying that the depth of the initial input is 0 and if a gate has n different inputs at depths d₁, d₂,...,d_n, respectively, then its outputs have depth equal to max(d₁, d₂,...,d_n) + 1; this value is also defined to be the depth of the gate. The depth of a combinatorial circuit is the maximum depth of the gates in the circuit