Question

Student Grading
A teacher is grading the students in 4 subjects (Math, Spelling, English, and History)
to see whether or not they will graduate. If a student passes Math and Spelling, they
will graduate. If a student passes either English or History, they will graduate. All
other students will not graduate.
Set–up the appropriate truth table, simplify using K–maps. Implement, using
LogiSim, the simplified logic circuit with optimal number of logic gates.

Answer 1

Truth Table:

truth table

M S E H Grad
0 0 0 0 0
0 0 0 1 1
0 0 1 0 1
0 0 1 1 1
0 1 0 0 0
0 1 0 1 1
0 1 1 0 1
0 1 1 1 1
1 0 0 0 0
1 0 0 1 1
1 0 1 0 1
1 0 1 1 1
1 1 0 0 1
1 1 0 1 1
1 1 1 0 1
1 1 1 1 1

Kmap:

Logisim:

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