Refer to the circuit in Figure (b) in Figure 1 witht he legendexplained in Figur

Question

Refer to the circuit in Figure (b) in Figure 1 witht he legendexplained in Figure (a). Imagine that the circuit represnetsa telephone relay-switch based circuit from the early 1900s priorto the nvention of the modern discrete, digital computer. Write a Boolean expression relating the input to the output interms of the literals A, B, C, and D. Simplify the expressionto its minimal form and comment on any unique observation(s) thatstands out in the simplified result.       Normallyopen                                                                          Normally closed So, A = 1 implies a closed, conductingswitch               So,B = 0 implies a closed, conducting switch          Figure(a): Legend -- Normally - Open and Normally-Closed RelaySwitches

Explanation / Answer

Boolean expression for above relay circuitis
CD+AB+CB'+CC'B+AC'B'+AC'D CD+AB+CB'+B+AC'B'+AC'D CD+B(A+1)+CB'+AC'B'+AC'D CD+B+CB'+AC'B'+AC'D Simplified expression is CD+B+CB'+AC'B'+AC'D CD+B(A+1)+CB'+AC'B'+AC'D CD+B+CB'+AC'B'+AC'D Simplified expression is CD+B+CB'+AC'B'+AC'D Simplified expression is CD+B+CB'+AC'B'+AC'D

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---