question C and D

Q5: A majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1's than O's. The output is 0 otherwise. We want to design a 3-input majority circuit. a) Derive the truth table. b) Derive its SOP and POS c) Draw a NOR implementation of the circuit A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 b) SOP: F - ABC + AB'C + ABC' + ABC POS: F - (A+B+C)(A+B+C)(A+B+C). (A' +B+C) Q5: A majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1's than O's. The output is 0 otherwise. We want to design a 3-input majority circuit. a) Derive the truth table. b) Derive its SOP and POS c) Draw a NOR implementation of the circuit A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 b) SOP: F - ABC + AB'C + ABC' + ABC POS: F - (A+B+C)(A+B+C)(A+B+C). (A' +B+C)