Let us consider an output F(C1, Co, A, B) that can perform four logic operations when...

 

Transcribed Image Text:

Let us consider an output F(C1, Co, A, B) that can perform four logic operations when different input conditions are specified. When C1=0 and Co-0, the output F performs the NOR operation of inputs A and B. When C1=0 and Co=1, the output F performs the AND operation of inputs A and B. When C1=1 and Co-0, the output performs NXOR (i.e. NOT of elusive OR). By the way, exclusive OR of inputs A and B is denoted as A O B. In the SOP form, the exclusive OR F=Ā·B + A· B. Lastly, when C1-1 and Co-1, the output performs the OR operation of inputs A and B. The table below summarizes the logic operations. C,Co F 00 A + B 01 A·B 10 АӨВ A + B 11 Prior to your lab session, you need to do the following: 1. Draw the 4-input truth table as shown next page with inputs and output column F only. For the logic operations defined in the table above, fill in the values of the outputs under output F. The logic operations will depend on the values of C, and Co. For example, when inputs C,=0, Co=1, A=0 and B=0, you need to find the output state that corresponds to the value of a logic function A· B. 2. Use the Karnaugh map to obtain the simplest SOP function for F(C1, Co, A, B). 3. Draw a NAND-only implementation from the SOP function. Let us consider an output F(C1, Co, A, B) that can perform four logic operations when different input conditions are specified. When C1=0 and Co-0, the output F performs the NOR operation of inputs A and B. When C1=0 and Co=1, the output F performs the AND operation of inputs A and B. When C1=1 and Co-0, the output performs NXOR (i.e. NOT of elusive OR). By the way, exclusive OR of inputs A and B is denoted as A O B. In the SOP form, the exclusive OR F=Ā·B + A· B. Lastly, when C1-1 and Co-1, the output performs the OR operation of inputs A and B. The table below summarizes the logic operations. C,Co F 00 A + B 01 A·B 10 АӨВ A + B 11 Prior to your lab session, you need to do the following: 1. Draw the 4-input truth table as shown next page with inputs and output column F only. For the logic operations defined in the table above, fill in the values of the outputs under output F. The logic operations will depend on the values of C, and Co. For example, when inputs C,=0, Co=1, A=0 and B=0, you need to find the output state that corresponds to the value of a logic function A· B. 2. Use the Karnaugh map to obtain the simplest SOP function for F(C1, Co, A, B). 3. Draw a NAND-only implementation from the SOP function.