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Table 2D E F Result (Trip doesn’t happen = 0. Trip happens = 1)0 0 0 00 0 1 00 1 0 10 1 1 01 0 0 01 0 1 01 1 0 11 1 1 0 ii.Using the method shown in Section 1.3.2, write a logic expression using D, E and F that could be used to build a logic circuit for the truth table in Table 2.

Question

Table 2D E F Result (Trip doesn’t happen = 0. Trip happens = 1)0 0 0 00 0 1 00 1 0 10 1 1 01 0 0 01 0 1 01 1 0 11 1 1 0 ii.Using the method shown in Section 1.3.2, write a logic expression using D, E and F that could be used to build a logic circuit for the truth table in Table 2.

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Solution

The logic expression that represents the truth table can be obtained by OR-ing the AND of all inputs for which the output is 1.

From the table, the output is 1 for the following combinations of inputs:

  • D=0, E=1, F=0
  • D=1, E=1, F=0

So, the logic expression would be:

(D' * E * F') + (D * E * F')

Here, D', E', and F' represent the NOT operation on D, E, and F respectively. The * represents the AND operation and the + represents the OR operation.

This expression can be used to build a logic circuit for the truth table in Table 2.

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