Topic: Digital Circuits
In the given network of AND and OR gates f can be written as: (cascade of AND and OR gates)
- A. X0X1X2......Xn + X1X2.....Xn + X2X3....Xn
- B. X0X1 + X2 + X3 + ......Xn-1.Xn
- C. X0 + X1 + X2 + ......Xn
- D. X0X1X3......Xn-1 + X2 + X3 + X5....Xn-1 + ..... + Xn-2 + Xn-1 + Xn
Answer: D. X0X1X3......Xn-1 + X2 + X3 + X5....Xn-1 + ..... + Xn-2 + Xn-1 + Xn
Explanation: By tracing the logic network stage by stage, the Boolean function is evaluated accumulating the products and sums depending on the arrangement of AND and OR gates. Option (d) matches the accumulated output sequence described in the standard logic circuit problem this is referencing.