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A chemical plant needs a microprocessor-driven alarm system to warnof critical c

ID: 1831279 • Letter: A

Question

A chemical plant needs a microprocessor-driven alarm system to warnof critical conditions in one of its chemical tanks. Thethank has four HIGH/LOW (1/0) switches that monitor temperature(T), pressure (P), fluid (F), and weight (W). The alarm (A)will activate when any of the following conditions are met
1. High fluid level, high temperature, high pressure. 2. low fluid level, high temperature, high weight. 3. low fluid level,low temperature, high pressure. 4. low fluid level, low weight, high temperature.

A) Show the truth table of this function. B) Write the logic equation for this function. DO NOTsimplify the equation.
1. High fluid level, high temperature, high pressure. 2. low fluid level, high temperature, high weight. 3. low fluid level,low temperature, high pressure. 4. low fluid level, low weight, high temperature.

A) Show the truth table of this function. B) Write the logic equation for this function. DO NOTsimplify the equation. 1. High fluid level, high temperature, high pressure. 2. low fluid level, high temperature, high weight. 3. low fluid level,low temperature, high pressure. 4. low fluid level, low weight, high temperature.

A) Show the truth table of this function. B) Write the logic equation for this function. DO NOTsimplify the equation.

Explanation / Answer

Truth Table    Inputs               Output T   P   F   W          A 0   0   0   0            0 0   0   0   1            0             0   0   1   0            0 0   0   1   1            0 0   1   0   0            1 0   1   0   1            1 0   1   1   0            0 0   1   1   1            0 1   0   0   0            1 1   0   0   1            1 1   0   1   0            0 1   0   1   1            0 1   1   0   0            1 1   1   0   1            1 1   1   1   0            1 1   1   1   1            1 Logic equation A (T,P,F,W) = m(4,5,8,9,12,13,14,15) A = T'PF'W' + T'PF'W + TP'F'W' + TP'F'W +TPF'W' + TPF'W + TPFW' + TPFW
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