This question is concerned with the FSM method. You are provided with the following problem specifications: A sequential circuit contains one input, w, and one output, z. Its function is to analyze...


This question is concerned with the FSM method. You are provided with the<br>following problem specifications:<br>A sequential circuit contains one input, w, and one output, z. Its function is to<br>analyze each sequence of 4 bits and produce z=1 when the four previous values of w<br>are 1001 or 1111; otherwise, z=0. The sequences can overlap. An example of the<br>sequences is:<br>w = 010111100110011111<br>000000100100010011<br>

Extracted text: This question is concerned with the FSM method. You are provided with the following problem specifications: A sequential circuit contains one input, w, and one output, z. Its function is to analyze each sequence of 4 bits and produce z=1 when the four previous values of w are 1001 or 1111; otherwise, z=0. The sequences can overlap. An example of the sequences is: w = 010111100110011111 000000100100010011
Using the class equivalence division method, minimize the state table below, and<br>show your partitions (|]1 to I14) and your final reduced state table (hint: the<br>reduced table contains 3 states).<br>II1=<br>II2=<br>II3=<br>II4=<br>Present<br>Next state<br>Output<br>state<br>x = 0<br>x = 1<br>Y2Y1Y0<br>Y½Y1Y0 | Y½Y1Y0<br>x = 0<br>x = 1<br>A<br>В<br>C<br>Present<br>Next state<br>Output<br>B<br>A<br>C<br>state<br>x = 0<br>x = 1<br>C<br>A<br>D<br>1<br>Y1Y0<br>Y¡Yo<br>Y¡Yo<br>x = 0<br>x = 1<br>D<br>E<br>1<br>E<br>B<br>1<br>

Extracted text: Using the class equivalence division method, minimize the state table below, and show your partitions (|]1 to I14) and your final reduced state table (hint: the reduced table contains 3 states). II1= II2= II3= II4= Present Next state Output state x = 0 x = 1 Y2Y1Y0 Y½Y1Y0 | Y½Y1Y0 x = 0 x = 1 A В C Present Next state Output B A C state x = 0 x = 1 C A D 1 Y1Y0 Y¡Yo Y¡Yo x = 0 x = 1 D E 1 E B 1

Jun 09, 2022
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