x1 x2 x3 Solve each of the following problems. Figure 2: Circuit for Problem 6 (1)...

 

 

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x1 x2 x3 Solve each of the following problems. Figure 2: Circuit for Problem 6 (1) f1 f2 cd ab 00 1000 00 01 11 10 011000 1 1 11 10 1 1 0 0 (a) fi. 1 0 ab cd Functions fi f2 f3 f₁ + f2 00 01 11 10 00 01 11 10 0 1 0 0 1111 0000 0 0 0 0 ab Table 1: Table for Problem 6(2). cd (b) f2. Figure 3: K-Maps for fi, f2, and f3 of Problem 6(2). Minimum Cover / Minimum SOP 00 01 0110 11 1 10 00 01 11 10 1 0 1 1 1 1 0 (c) f3. 0 0 0 0 1. Consider the circuit of Figure 2 and answer the following questions. (a) Using the Boolean Algebra Theorems discussed in class, simplify the circuit and write the SOP expression for fi and f2. [Points: 6] (b) Can you identify what common function this circuit implements? [Points: 3] 2. Consider the K-Map of function f1, f2 and f3 shown in Figure 3(a), Figure 3(b) and Fig- ure 3(c), respectively. (a) Fill in the blanks of Table 1. [Points : 5] x1 x2 x3 Solve each of the following problems. Figure 2: Circuit for Problem 6 (1) f1 f2 cd ab 00 1000 00 01 11 10 011000 1 1 11 10 1 1 0 0 (a) fi. 1 0 ab cd Functions fi f2 f3 f₁ + f2 00 01 11 10 00 01 11 10 0 1 0 0 1111 0000 0 0 0 0 ab Table 1: Table for Problem 6(2). cd (b) f2. Figure 3: K-Maps for fi, f2, and f3 of Problem 6(2). Minimum Cover / Minimum SOP 00 01 0110 11 1 10 00 01 11 10 1 0 1 1 1 1 0 (c) f3. 0 0 0 0 1. Consider the circuit of Figure 2 and answer the following questions. (a) Using the Boolean Algebra Theorems discussed in class, simplify the circuit and write the SOP expression for fi and f2. [Points: 6] (b) Can you identify what common function this circuit implements? [Points: 3] 2. Consider the K-Map of function f1, f2 and f3 shown in Figure 3(a), Figure 3(b) and Fig- ure 3(c), respectively. (a) Fill in the blanks of Table 1. [Points : 5]