Refer to the circuit in Figure (b) in Figure 1 witht he legendexplained in Figur
ID: 3611292 • Letter: R
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 RelaySwitchesExplanation / Answer
Boolean expression for above relay circuitisCD+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
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