Question

LA TROBE is conducting three sessions every year. The session 1 is from 1^st of March to end of June. Session 2 is from 1^st of July to end of October and session 3 is from 1^st of November to end of February. The student can enrol three subjects every session. Write a Boolean function and design a logic circuit, use of basic logic gates to show what the available subjects are in these time frames

Answer 1

boolean algebra example circuit,

The System consists of an AND Gate, a NOR Gate and finally an OR Gate. The expression for the AND gate is A.B, and the expression for the NOR gate is A+B. Both these expressions are also separate inputs to the OR gate which is defined as A+B.

Thus the final output expression is given as:

The output of the system is given as Q = (A.B) + (A+B), but the notation A+B is the same as the De Morgan´s notation A.B, Then substituting A.B into the output expression gives us a final output notation of Q = (A.B)+(A.B), which is the Boolean notation for an Exclusive-NOR Gate as seen in the previous section.

Inputs. Intermediate output

B A A.B A + B Q

0 0 0 1 1

0 1 0 0 0

1 0 0 0 0

1 1 1 0 1

Then, the whole circuit above can be replaced by just one single Exclusive-NOR Gate and indeed an Exclusive-NOR Gate is made up of these individual gate functions.