First Map: Recall that a decoder takes some number of input bits, interprets these bits as a binary number, and then turns on a corresponding output pin. The three$-$bit decoder you are building will have three input pins and eight output pins. The association of inputs to outputs will be ordered. When the three inputs are all zero, the zeroth output pin is on$.$ If the second bit is on $($encoding the number two in binary$),$ the second output pin is on$.$ If all three inputs are on $($encoding the number seven in binary$),$ the seventh output is on$.$

Second Map: Next, create a $4-$input multiplexer circuit. In the provided lab$\_1\_$template project in Logisim, you'll see the $4$ input lines, $2$ select lines, and single output line are already added to the circuit. Using only simple logic gates, build a multiplexer circuit so that each combination of select lines allows a different input line to be output. Recall that if the select lines encode the number zero, the zeroth data input should be passed on to the output. If the select lines encode the number one, the first data input should be passed on to the output. If the select lines encode the number three, the third data input is passed on to the output.