Circuit 1 Using a Multiplexer: A simple (but not too secure!) data security system encodes (or converts) from one form to another before storage or transmission. Design a circuit to encode unsigned 4-bit binary numbers The scheme will add an extra bit, labeled as "X", added according the following rule. Each number will have 5 bits, the 4 bits of the unsigned binary number plus a parity bit X. The encoding works as follows: All numbers exactly divisible by 3 (without any remainder) must be transmitted with even parity. (Recall that even parity means that the number of '1' bits in ABCDX is even) All other numbers must be transmitted with odd parity. (The number of '1' bits in ABCDX is odd) Create a truth table that has: a row for every input combination and an indication of the corresponding output bit X. (Also, it might be helpful to indicate the decimal equivalent of the number and whether or not the number is exactly divisible by 3.) Include your truth table on the Pre-Lab 3 worksheet. Create a Karnaugh map for bit X Include your Karnaugh map on the Pre-Lab 3 worksheet. Design an implementation of this function (that is, to realize "X') using a 74151 8-input multiplexer. Three of the four inputs (A, B, C or D) will be attached to the select inputs. Make a decision on which 3 to use, such that the resulting circuit has a minimum number of gates or inverters required. Examine the data sheet provided for the 74151 8-input multiplexer and determine the appropriate connection to each data input to the 74151 The 74151 input called 'strobe' must be connected for the circuit to function. Review the data sheet and decide how to connect it. Include this information on pre-Lab 3 worksheet