Laboratory Exercise 1 | Numbers and Displays This is an exercise in designing combinational circuits that can perform binary-to-decimal number conversion and binary-coded-decimal (BCD) addition, using Proteus Design Suite. Part I Figure 1a shows a sum-of-products circuit that implements a 2-to-1 multiplexer with a select input s. Ifs=0 the multiplexer's output m is equal to the input x, and if s = 1 the output is equal to y. Figure 1b gives a truth table for this multiplexer, and part c shows its circuit symbol. a) Circuit X3 V3 V x₂ 3/₂ xo Yo m You are to use four instances of the circuit shown above to create the circuit given in Figure 2a. This circuit has two four-bit inputs, X and Y, and produces the four-bit output M. If s = 0 then M = X, while if s = 1 then M = Y. We refer to this circuit as a four-bit wide 2-to-1 multiplexer. It has the circuit symbol shown in Figure 2b, in which X, Y, and M are depicted as four-bit wires. m3 Comparator 9 Circuit A m₂ S Figure 1: A 2-to-1 multiplexer mo 0 1 A m b) Truth table a) Circuit b) Symbol Figure 2: A four-bit wide 2-to-1 multiplexer X y Y Part II into its two-digit You are to design a circuit that converts a four-bit binary number V = v3V2V1V0 decimal equivalent D - dido. Table 1 shows the required output values. A partial design of this circuit is given in Figure 3. It includes a comparator that checks when the value of V is greater than 9 and uses the output of this comparator in the control of the 7-segment displays. You are to complete the design of this circuit. 4 V3V2V1V0 d₁ do 0 0 0000 0001 0 1 0010 0 2 Table 1: Binary-to-decimal conversion values. 1001 0 9 1010 1 0 1011 1 1 1100 1 2 1 3 1101 1110 1 4 1111 1 5 The output z for the comparator circuit can be specified using a single Boolean expression, with the four inputs V3-0. Design this Boolean expression by making a truth table that shows the values of the inputs V3-0 for which z must be 1. 0 1 c) Symbol M 5 4 0 3 m do 6 3 Figure 3: Partial design of the binary-to-decimal conversion circuit Notice that the circuit Figure 3 includes a 4-bit wide 2-to-1 multiplexer. The purpose of multiplexer is to drive digit do with the value of V when z = 0, and the value of A when z = 1. To design circuit A, consider the following. For the input values V≤ 9, circuit A does not matter, because the multiplexer in Figure 3 just selects V in these cases. But for the input values V > 9, the multiplexer will select A. Thus, A must provide output values that properly implement Table 1 when V > 9. You need to design circuit A so that the input V = 1010 gives an output A = 0000, the input V = 1011 gives the output A = 0001, ..., and the input V = 1111 gives the output A = 0101. Design circuit A by making a truth table with the inputs V3-0 and the outputs A3-0.