Which option shows the correct expression for the next state representation of the following state diagram. The order of the state table terms are: In Q1 Q0 Q1P Q0P Z. You must answer the question under the following assumptions: All don't care cases are 0 for Q1P and Q0P All don't care cases are 1 for Z Q1P = In Q1' Q0 Q0P = In' Q1' Q0' + In Q1 Q0' Z = In ' + Q0 Q1P = In Q1 Q0 Q0P = In' Q1' Q0' + In Q1 Q0' Z = In ' + Q0 Q1P = In Q1' Q0 Q0P = In Q1' Q0' + In Q1 Q0' Z = In ' + Q0 Q1P = In Q1' Q0 Q0P = In' Q1' Q0' + In Q1 Q0' Z = In ' + Q0'
Question
Which option shows the correct expression for the next state representation of the following state diagram. The order of the state table terms are: In Q1 Q0 Q1P Q0P Z.
You must answer the question under the following assumptions:
All don't care cases are 0 for Q1P and Q0P All don't care cases are 1 for Z Q1P = In Q1' Q0
Q0P = In' Q1' Q0' + In Q1 Q0'
Z = In ' + Q0
Q1P = In Q1 Q0
Q0P = In' Q1' Q0' + In Q1 Q0'
Z = In ' + Q0
Q1P = In Q1' Q0
Q0P = In Q1' Q0' + In Q1 Q0'
Z = In ' + Q0
Q1P = In Q1' Q0
Q0P = In' Q1' Q0' + In Q1 Q0'
Z = In ' + Q0'
Solution
The correct expression for the next state representation of the state diagram, based on the given assumptions and order of the state table terms, is:
Q1P = In Q1' Q0
Q0P = In' Q1' Q0' + In Q1 Q0'
Z = In ' + Q0
This is because Q1P and Q0P are determined by the input (In) and the current states Q1 and Q0. The output Z is determined by the negation of the input (In ') and the current state Q0. The don't care cases are taken into account by setting them to 0 for Q1P and Q0P and to 1 for Z.
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