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9.18 Admittedly, the state-table pattern created by the VrsMtblckt1 module that

ID: 2292242 • Letter: 9

Question

9.18 Admittedly, the state-table pattern created by the VrsMtblckt1 module that was suggested in Exercise 9.17D is easy to write out by hand without the automated test bench. But now it's time for the real assignment. Derive the state and output table for a state machine with the folowing next-state equations and output equations: ar Q2* Q3* (Q1 , + 10, + 13-12) . (Q3 + Q2,+ Q0, . 11) Q2.(13 , . 11-10+13 . 12,.10 + Q3 , . 13 . 12'tQ0 . 13-12) Q3 , . 134Q2 , . 12+13 . 12-11-10+Q1.Q0 , . 12-11, = = =

Explanation / Answer

module state_table;

reg I0, I1, I2, I3;
reg Q0, Q1, Q2, Q3;
wire D0, D1, D2, D3;
wire Z;
integer i, j;

assign D0 = ((~Q3 & ~Q1 & ~I0) | (Q3 & Q2 & Q1 & I1) | (Q0 & ~I3 & ~I2));
assign D1 = ((~Q1 | ~I0 | (I3 & I2)) & (Q3 | ~Q2 | (~Q0 & ~I1)));
assign D2 = ((Q2 & ((~I3 & I1 & I0) | (I3 & ~I2 & I0) | (~Q3 & I3 & ~I2) | (Q0 & I3 & I2))));
assign D3 = ((~Q3 & I3) | (~Q2 | I2) | (I3 & I2 & I1 & I0) | (Q1 & ~Q0 & I2 & ~I1));
assign Z = (((Q3 | ~Q0) & Q1) | (~Q2 & Q1 & Q0) | ((~Q1 & (Q2 | ~Q0) & (~Q2 | Q0))));

initial
  begin
   $display("*******************************************************");
   $display(" Current State Inputs Next State Outputs ");
   $display("=======================================================");
   $display(" Q3 Q2 Q1 Q0 I3 I2 I1 I0 D3 D2 D1 D0 Z ");
   $display("=======================================================");

   for (i = 0; i < 16; i = i + 1)
   begin
   {Q3, Q2, Q1, Q0} = i;
   for (j = 0; j < 16; j = j + 1)
   begin
   {I3, I2, I1, I0} = j;
   #10;
   $display(" %b %b %b %b %b %b %b %b %b %b %b %b %b ", Q3,Q2,Q1,Q0,I3,I2,I1,I0,D3,D2,D1,D0,Z);
   end
   end

   $display("*******************************************************");
  end

endmodule

/**********************Output of Program ******************

*******************************************************
  Current State Inputs Next State Outputs
=======================================================
   Q3 Q2 Q1 Q0 I3 I2 I1 I0 D3 D2 D1 D0 Z   
=======================================================
   0 0 0 0 0 0 0 0 1 0 1 1 1   
   0 0 0 0 0 0 0 1 1 0 1 0 1   
   0 0 0 0 0 0 1 0 1 0 1 1 1   
   0 0 0 0 0 0 1 1 1 0 1 0 1   
   0 0 0 0 0 1 0 0 1 0 1 1 1   
   0 0 0 0 0 1 0 1 1 0 1 0 1   
   0 0 0 0 0 1 1 0 1 0 1 1 1   
   0 0 0 0 0 1 1 1 1 0 1 0 1   
   0 0 0 0 1 0 0 0 1 0 1 1 1   
   0 0 0 0 1 0 0 1 1 0 1 0 1   
   0 0 0 0 1 0 1 0 1 0 1 1 1   
   0 0 0 0 1 0 1 1 1 0 1 0 1   
   0 0 0 0 1 1 0 0 1 0 1 1 1   
   0 0 0 0 1 1 0 1 1 0 1 0 1   
   0 0 0 0 1 1 1 0 1 0 1 1 1   
   0 0 0 0 1 1 1 1 1 0 1 0 1   
   0 0 0 1 0 0 0 0 1 0 1 1 0   
   0 0 0 1 0 0 0 1 1 0 1 1 0   
   0 0 0 1 0 0 1 0 1 0 1 1 0   
   0 0 0 1 0 0 1 1 1 0 1 1 0   
   0 0 0 1 0 1 0 0 1 0 1 1 0   
   0 0 0 1 0 1 0 1 1 0 1 0 0   
   0 0 0 1 0 1 1 0 1 0 1 1 0   
   0 0 0 1 0 1 1 1 1 0 1 0 0   
   0 0 0 1 1 0 0 0 1 0 1 1 0   
   0 0 0 1 1 0 0 1 1 0 1 0 0   
   0 0 0 1 1 0 1 0 1 0 1 1 0   
   0 0 0 1 1 0 1 1 1 0 1 0 0   
   0 0 0 1 1 1 0 0 1 0 1 1 0   
   0 0 0 1 1 1 0 1 1 0 1 0 0   
   0 0 0 1 1 1 1 0 1 0 1 1 0   
   0 0 0 1 1 1 1 1 1 0 1 0 0   
   0 0 1 0 0 0 0 0 1 0 1 0 1   
   0 0 1 0 0 0 0 1 1 0 0 0 1   
   0 0 1 0 0 0 1 0 1 0 1 0 1   
   0 0 1 0 0 0 1 1 1 0 0 0 1   
   0 0 1 0 0 1 0 0 1 0 1 0 1   
   0 0 1 0 0 1 0 1 1 0 0 0 1   
   0 0 1 0 0 1 1 0 1 0 1 0 1   
   0 0 1 0 0 1 1 1 1 0 0 0 1   
   0 0 1 0 1 0 0 0 1 0 1 0 1   
   0 0 1 0 1 0 0 1 1 0 0 0 1   
   0 0 1 0 1 0 1 0 1 0 1 0 1   
   0 0 1 0 1 0 1 1 1 0 0 0 1   
   0 0 1 0 1 1 0 0 1 0 1 0 1   
   0 0 1 0 1 1 0 1 1 0 1 0 1   
   0 0 1 0 1 1 1 0 1 0 1 0 1   
   0 0 1 0 1 1 1 1 1 0 1 0 1   
   0 0 1 1 0 0 0 0 1 0 1 1 1   
   0 0 1 1 0 0 0 1 1 0 0 1 1   
   0 0 1 1 0 0 1 0 1 0 1 1 1   
   0 0 1 1 0 0 1 1 1 0 0 1 1   
   0 0 1 1 0 1 0 0 1 0 1 0 1   
   0 0 1 1 0 1 0 1 1 0 0 0 1   
   0 0 1 1 0 1 1 0 1 0 1 0 1   
   0 0 1 1 0 1 1 1 1 0 0 0 1   
   0 0 1 1 1 0 0 0 1 0 1 0 1   
   0 0 1 1 1 0 0 1 1 0 0 0 1   
   0 0 1 1 1 0 1 0 1 0 1 0 1   
   0 0 1 1 1 0 1 1 1 0 0 0 1   
   0 0 1 1 1 1 0 0 1 0 1 0 1   
   0 0 1 1 1 1 0 1 1 0 1 0 1   
   0 0 1 1 1 1 1 0 1 0 1 0 1   
   0 0 1 1 1 1 1 1 1 0 1 0 1   
   0 1 0 0 0 0 0 0 0 0 1 1 0   
   0 1 0 0 0 0 0 1 0 0 1 0 0   
   0 1 0 0 0 0 1 0 0 0 0 1 0   
   0 1 0 0 0 0 1 1 0 1 0 0 0   
   0 1 0 0 0 1 0 0 1 0 1 1 0   
   0 1 0 0 0 1 0 1 1 0 1 0 0   
   0 1 0 0 0 1 1 0 1 0 0 1 0   
   0 1 0 0 0 1 1 1 1 1 0 0 0   
   0 1 0 0 1 0 0 0 1 1 1 1 0   
   0 1 0 0 1 0 0 1 1 1 1 0 0   
   0 1 0 0 1 0 1 0 1 1 0 1 0   
   0 1 0 0 1 0 1 1 1 1 0 0 0   
   0 1 0 0 1 1 0 0 1 0 1 1 0   
   0 1 0 0 1 1 0 1 1 0 1 0 0   
   0 1 0 0 1 1 1 0 1 0 0 1 0   
   0 1 0 0 1 1 1 1 1 0 0 0 0   
   0 1 0 1 0 0 0 0 0 0 0 1 1   
   0 1 0 1 0 0 0 1 0 0 0 1 1   
   0 1 0 1 0 0 1 0 0 0 0 1 1   
   0 1 0 1 0 0 1 1 0 1 0 1 1   
   0 1 0 1 0 1 0 0 1 0 0 1 1   
   0 1 0 1 0 1 0 1 1 0 0 0 1   
   0 1 0 1 0 1 1 0 1 0 0 1 1   
   0 1 0 1 0 1 1 1 1 1 0 0 1   
   0 1 0 1 1 0 0 0 1 1 0 1 1   
   0 1 0 1 1 0 0 1 1 1 0 0 1   
   0 1 0 1 1 0 1 0 1 1 0 1 1   
   0 1 0 1 1 0 1 1 1 1 0 0 1   
   0 1 0 1 1 1 0 0 1 1 0 1 1   
   0 1 0 1 1 1 0 1 1 1 0 0 1   
   0 1 0 1 1 1 1 0 1 1 0 1 1   
   0 1 0 1 1 1 1 1 1 1 0 0 1   
   0 1 1 0 0 0 0 0 0 0 1 0 1   
   0 1 1 0 0 0 0 1 0 0 0 0 1   
   0 1 1 0 0 0 1 0 0 0 0 0 1   
   0 1 1 0 0 0 1 1 0 1 0 0 1   
   0 1 1 0 0 1 0 0 1 0 1 0 1   
   0 1 1 0 0 1 0 1 1 0 0 0 1   
   0 1 1 0 0 1 1 0 1 0 0 0 1   
   0 1 1 0 0 1 1 1 1 1 0 0 1   
   0 1 1 0 1 0 0 0 1 1 1 0 1   
   0 1 1 0 1 0 0 1 1 1 0 0 1   
   0 1 1 0 1 0 1 0 1 1 0 0 1   
   0 1 1 0 1 0 1 1 1 1 0 0 1   
   0 1 1 0 1 1 0 0 1 0 1 0 1   
   0 1 1 0 1 1 0 1 1 0 1 0 1   
   0 1 1 0 1 1 1 0 1 0 0 0 1   
   0 1 1 0 1 1 1 1 1 0 0 0 1   
   0 1 1 1 0 0 0 0 0 0 0 1 0   
   0 1 1 1 0 0 0 1 0 0 0 1 0   
   0 1 1 1 0 0 1 0 0 0 0 1 0   
   0 1 1 1 0 0 1 1 0 1 0 1 0   
   0 1 1 1 0 1 0 0 1 0 0 0 0   
   0 1 1 1 0 1 0 1 1 0 0 0 0   
   0 1 1 1 0 1 1 0 1 0 0 0 0   
   0 1 1 1 0 1 1 1 1 1 0 0 0   
   0 1 1 1 1 0 0 0 1 1 0 0 0   
   0 1 1 1 1 0 0 1 1 1 0 0 0   
   0 1 1 1 1 0 1 0 1 1 0 0 0   
   0 1 1 1 1 0 1 1 1 1 0 0 0   
   0 1 1 1 1 1 0 0 1 1 0 0 0   
   0 1 1 1 1 1 0 1 1 1 0 0 0   
   0 1 1 1 1 1 1 0 1 1 0 0 0   
   0 1 1 1 1 1 1 1 1 1 0 0 0   
   1 0 0 0 0 0 0 0 1 0 1 0 1   
   1 0 0 0 0 0 0 1 1 0 1 0 1   
   1 0 0 0 0 0 1 0 1 0 1 0 1   
   1 0 0 0 0 0 1 1 1 0 1 0 1   
   1 0 0 0 0 1 0 0 1 0 1 0 1   
   1 0 0 0 0 1 0 1 1 0 1 0 1   
   1 0 0 0 0 1 1 0 1 0 1 0 1   
   1 0 0 0 0 1 1 1 1 0 1 0 1   
   1 0 0 0 1 0 0 0 1 0 1 0 1   
   1 0 0 0 1 0 0 1 1 0 1 0 1   
   1 0 0 0 1 0 1 0 1 0 1 0 1   
   1 0 0 0 1 0 1 1 1 0 1 0 1   
   1 0 0 0 1 1 0 0 1 0 1 0 1   
   1 0 0 0 1 1 0 1 1 0 1 0 1   
   1 0 0 0 1 1 1 0 1 0 1 0 1   
   1 0 0 0 1 1 1 1 1 0 1 0 1   
   1 0 0 1 0 0 0 0 1 0 1 1 0   
   1 0 0 1 0 0 0 1 1 0 1 1 0   
   1 0 0 1 0 0 1 0 1 0 1 1 0   
   1 0 0 1 0 0 1 1 1 0 1 1 0   
   1 0 0 1 0 1 0 0 1 0 1 0 0   
   1 0 0 1 0 1 0 1 1 0 1 0 0   
   1 0 0 1 0 1 1 0 1 0 1 0 0   
   1 0 0 1 0 1 1 1 1 0 1 0 0   
   1 0 0 1 1 0 0 0 1 0 1 0 0   
   1 0 0 1 1 0 0 1 1 0 1 0 0   
   1 0 0 1 1 0 1 0 1 0 1 0 0   
   1 0 0 1 1 0 1 1 1 0 1 0 0   
   1 0 0 1 1 1 0 0 1 0 1 0 0   
   1 0 0 1 1 1 0 1 1 0 1 0 0   
   1 0 0 1 1 1 1 0 1 0 1 0 0   
   1 0 0 1 1 1 1 1 1 0 1 0 0   
   1 0 1 0 0 0 0 0 1 0 1 0 1   
   1 0 1 0 0 0 0 1 1 0 0 0 1   
   1 0 1 0 0 0 1 0 1 0 1 0 1   
   1 0 1 0 0 0 1 1 1 0 0 0 1   
   1 0 1 0 0 1 0 0 1 0 1 0 1   
   1 0 1 0 0 1 0 1 1 0 0 0 1   
   1 0 1 0 0 1 1 0 1 0 1 0 1   
   1 0 1 0 0 1 1 1 1 0 0 0 1   
   1 0 1 0 1 0 0 0 1 0 1 0 1   
   1 0 1 0 1 0 0 1 1 0 0 0 1   
   1 0 1 0 1 0 1 0 1 0 1 0 1   
   1 0 1 0 1 0 1 1 1 0 0 0 1   
   1 0 1 0 1 1 0 0 1 0 1 0 1   
   1 0 1 0 1 1 0 1 1 0 1 0 1   
   1 0 1 0 1 1 1 0 1 0 1 0 1   
   1 0 1 0 1 1 1 1 1 0 1 0 1   
   1 0 1 1 0 0 0 0 1 0 1 1 1   
   1 0 1 1 0 0 0 1 1 0 0 1 1   
   1 0 1 1 0 0 1 0 1 0 1 1 1   
   1 0 1 1 0 0 1 1 1 0 0 1 1   
   1 0 1 1 0 1 0 0 1 0 1 0 1   
   1 0 1 1 0 1 0 1 1 0 0 0 1   
   1 0 1 1 0 1 1 0 1 0 1 0 1   
   1 0 1 1 0 1 1 1 1 0 0 0 1   
   1 0 1 1 1 0 0 0 1 0 1 0 1   
   1 0 1 1 1 0 0 1 1 0 0 0 1   
   1 0 1 1 1 0 1 0 1 0 1 0 1   
   1 0 1 1 1 0 1 1 1 0 0 0 1   
   1 0 1 1 1 1 0 0 1 0 1 0 1   
   1 0 1 1 1 1 0 1 1 0 1 0 1   
   1 0 1 1 1 1 1 0 1 0 1 0 1   
   1 0 1 1 1 1 1 1 1 0 1 0 1   
   1 1 0 0 0 0 0 0 0 0 1 0 0   
   1 1 0 0 0 0 0 1 0 0 1 0 0   
   1 1 0 0 0 0 1 0 0 0 1 0 0   
   1 1 0 0 0 0 1 1 0 1 1 0 0   
   1 1 0 0 0 1 0 0 1 0 1 0 0   
   1 1 0 0 0 1 0 1 1 0 1 0 0   
   1 1 0 0 0 1 1 0 1 0 1 0 0   
   1 1 0 0 0 1 1 1 1 1 1 0 0   
   1 1 0 0 1 0 0 0 0 0 1 0 0   
   1 1 0 0 1 0 0 1 0 1 1 0 0   
   1 1 0 0 1 0 1 0 0 0 1 0 0   
   1 1 0 0 1 0 1 1 0 1 1 0 0   
   1 1 0 0 1 1 0 0 1 0 1 0 0   
   1 1 0 0 1 1 0 1 1 0 1 0 0   
   1 1 0 0 1 1 1 0 1 0 1 0 0   
   1 1 0 0 1 1 1 1 1 0 1 0 0   
   1 1 0 1 0 0 0 0 0 0 1 1 1   
   1 1 0 1 0 0 0 1 0 0 1 1 1   
   1 1 0 1 0 0 1 0 0 0 1 1 1   
   1 1 0 1 0 0 1 1 0 1 1 1 1   
   1 1 0 1 0 1 0 0 1 0 1 0 1   
   1 1 0 1 0 1 0 1 1 0 1 0 1   
   1 1 0 1 0 1 1 0 1 0 1 0 1   
   1 1 0 1 0 1 1 1 1 1 1 0 1   
   1 1 0 1 1 0 0 0 0 0 1 0 1   
   1 1 0 1 1 0 0 1 0 1 1 0 1   
   1 1 0 1 1 0 1 0 0 0 1 0 1   
   1 1 0 1 1 0 1 1 0 1 1 0 1   
   1 1 0 1 1 1 0 0 1 1 1 0 1   
   1 1 0 1 1 1 0 1 1 1 1 0 1   
   1 1 0 1 1 1 1 0 1 1 1 0 1   
   1 1 0 1 1 1 1 1 1 1 1 0 1   
   1 1 1 0 0 0 0 0 0 0 1 0 1   
   1 1 1 0 0 0 0 1 0 0 0 0 1   
   1 1 1 0 0 0 1 0 0 0 1 1 1   
   1 1 1 0 0 0 1 1 0 1 0 1 1   
   1 1 1 0 0 1 0 0 1 0 1 0 1   
   1 1 1 0 0 1 0 1 1 0 0 0 1   
   1 1 1 0 0 1 1 0 1 0 1 1 1   
   1 1 1 0 0 1 1 1 1 1 0 1 1   
   1 1 1 0 1 0 0 0 0 0 1 0 1   
   1 1 1 0 1 0 0 1 0 1 0 0 1   
   1 1 1 0 1 0 1 0 0 0 1 1 1   
   1 1 1 0 1 0 1 1 0 1 0 1 1   
   1 1 1 0 1 1 0 0 1 0 1 0 1   
   1 1 1 0 1 1 0 1 1 0 1 0 1   
   1 1 1 0 1 1 1 0 1 0 1 1 1   
   1 1 1 0 1 1 1 1 1 0 1 1 1   
   1 1 1 1 0 0 0 0 0 0 1 1 1   
   1 1 1 1 0 0 0 1 0 0 0 1 1   
   1 1 1 1 0 0 1 0 0 0 1 1 1   
   1 1 1 1 0 0 1 1 0 1 0 1 1   
   1 1 1 1 0 1 0 0 1 0 1 0 1   
   1 1 1 1 0 1 0 1 1 0 0 0 1   
   1 1 1 1 0 1 1 0 1 0 1 1 1   
   1 1 1 1 0 1 1 1 1 1 0 1 1   
   1 1 1 1 1 0 0 0 0 0 1 0 1   
   1 1 1 1 1 0 0 1 0 1 0 0 1   
   1 1 1 1 1 0 1 0 0 0 1 1 1   
   1 1 1 1 1 0 1 1 0 1 0 1 1   
   1 1 1 1 1 1 0 0 1 1 1 0 1   
   1 1 1 1 1 1 0 1 1 1 1 0 1   
   1 1 1 1 1 1 1 0 1 1 1 1 1   
   1 1 1 1 1 1 1 1 1 1 1 1 1   
*******************************************************
*/

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