In the country of Genovia, the president wants to ensure that the Monetary Committee can activate a device that opens the country’s safe. The safe system is to be activated by a device that obeys the following rules:
- Each member of the Monetary Committee has a button to push.
- The vice president or the president has a button to push (at least one of them—or both—have a button to push).
- The safe opens only if a combination of the president, the vice president, and a number of the committee members push the button.
Complete the following:
- Set the exact constrains of the problem.
- Design the safe circuit.
- Complete the corresponding truth table.
- Explain your rationale on the creation of safe circuit.
- Write the corresponding Boolean expression.
Specify the input and output variables and the two states of each.
Input:
p = president’s button (1 = pushed, 0 = not pushed)
vp = vice president’s button ( 1= pushed, 0 not pushed)
x, y, z = Monetary committees’ buttons (1 = pushed, 0 = not pushed)
Output:
f = Safe lock (1 = open, 0 = locked))
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