1. Simplify the expressions using Boolean algebra and its identities:
X'Y + XYZ' + Y' + XZ (Y+Y') = 1
2. The academic director wants to select students in Sydney Study Center to give them Gala Dinner Award. The recipient has completed three subjects at least, two of them are core and the third is elective. Before he will select him, he must check three subjects. He has come to the following conclusions:
- Give if two of core is High Distinction (HD) and elective subject is not.
- Give if one of the core subject and elective subject are HD.
- Don't hire otherwise.
Construct a truth table and find the minimized Boolean function to implement the logic telling the director when to hire. Draw a circuit diagram for the Boolean function using any Logic Design Simulator (provide only a screenshot).
3. Complete the step by step truth table for the following sequential circuit:
|
|
Next State
|
|
A
|
B
|
X
|
A
|
B
|
|
0
|
0
|
0
|
|
|
|
0
|
0
|
1
|
|
|
|
0
|
1
|
0
|
|
|
|
0
|
1
|
1
|
|
|
|
1
|
0
|
0
|
|
|
|
1
|
0
|
1
|
|
|
|
1
|
1
|
0
|
|
|
|
1
|
1
|
1
|
|
|
Need it as per the guidelines.