Design a logic circuit that controls an elevator door in a three-story building. M is a logic signal that indicates when the elevator is moving (M = 1) or stopped (M = 0). F1, F2, and F3 are floor indicator signals that are normally LOW, and they go HIGH only when the elevator is positioned at the level of that particular floor. For example, when the elevator is lined up level with the second floor, F2 = 1 and F1 = F3 = 0. The circuit output is the OPEN signal, which is normally LOW and will go HIGH when the elevator door is to be opened. We can fill in the truth table for the OPEN output as follows: a. Because the elevator cannot be lined up with more than one floor at a time, only one o the floor inputs can be HIGH at any given time. This means that all those cases in the truth table where more than one floor input is a 1 are don't-care conditions. We can place an x in the OPEN output column for those eight cases where more than one F

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3. Design a logic circuit that controls an elevator door in a three-story building. M is a logic signal
that indicates when the elevator is moving (M = 1) or stopped (M = 0). F1, F2, and F3 are floor
indicator signals that are normally LOW, and they go HIGH only when the elevator is positioned
at the level of that particular floor. For example, when the elevator is lined up level with the
second floor, F2 = 1 and F1 = F3 = 0. The circuit output is the OPEN signal, which is normally
LOW and will go HIGH when the elevator door is to be opened. We can fill in the truth table for
the OPEN output as follows:
a. Because the elevator cannot be lined up with more than one floor at a time, only one of
the floor inputs can be HIGH at any given time. This means that all those cases in the
truth table where more than one floor input is a 1 are don't-care conditions. We can
place an x in the OPEN output column for those eight cases where more than one F
input is 1.
b. Looking at the other eight cases, when M = 1 the elevator is moving, so OPEN must be a
O because we do not want the elevator door to open. When M = 0 (elevator stopped)
we want OPEN = 1 provided that one of the floor inputs is 1. When M = 0 and all floor
inputs are 0, the elevator is stopped but is not properly lined up with any floor, so we
want OPEN = 0 to keep the door closed.
Transcribed Image Text:3. Design a logic circuit that controls an elevator door in a three-story building. M is a logic signal that indicates when the elevator is moving (M = 1) or stopped (M = 0). F1, F2, and F3 are floor indicator signals that are normally LOW, and they go HIGH only when the elevator is positioned at the level of that particular floor. For example, when the elevator is lined up level with the second floor, F2 = 1 and F1 = F3 = 0. The circuit output is the OPEN signal, which is normally LOW and will go HIGH when the elevator door is to be opened. We can fill in the truth table for the OPEN output as follows: a. Because the elevator cannot be lined up with more than one floor at a time, only one of the floor inputs can be HIGH at any given time. This means that all those cases in the truth table where more than one floor input is a 1 are don't-care conditions. We can place an x in the OPEN output column for those eight cases where more than one F input is 1. b. Looking at the other eight cases, when M = 1 the elevator is moving, so OPEN must be a O because we do not want the elevator door to open. When M = 0 (elevator stopped) we want OPEN = 1 provided that one of the floor inputs is 1. When M = 0 and all floor inputs are 0, the elevator is stopped but is not properly lined up with any floor, so we want OPEN = 0 to keep the door closed.
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