HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)

目录

3.2 Sequential Logic

3.2.1 Latches and Flip-Flops

1. D flip-flop

2. D flip-flops

3. DFF with reset

4. DFF with reset value

5. DFF with asynchronous reset

6. DFF with byte enable

7. D Latch

8. DFF

9. DFF

10. DFF+gate

11. Mux and DFF

12. Mux and DFF

13. DFFs and gates

14. Create circuit from truth table

15. Detect an edge

16. Detect both edges

17. Edge capture register

18. Dual-edge triggered flip-flop


3.2 Sequential Logic

3.2.1 Latches and Flip-Flops

1. D flip-flop

A D flip-flop is a circuit that stores a bit and is updated periodically, at the (usually) positive edge of a clock signal.

Dff.png

D flip-flops are created by the logic synthesizer when a clocked always block is used (See alwaysblock2). A D flip-flop is the simplest form of "blob of combinational logic followed by a flip-flop" where the combinational logic portion is just a wire.

module top_module (
    input clk,    // Clocks are used in sequential circuits
    input d,
    output reg q );//

    // Use a clocked always block
    //   copy d to q at every positive edge of clk
    //   Clocked always blocks should use non-blocking assignments

    always @(posedge clk)begin
       q<=d; 
    end
endmodule

2. D flip-flops

Create 8 D flip-flops. All DFFs should be triggered by the positive edge of clk.

module top_module (
    input clk,
    input [7:0] d,
    output [7:0] q
);
    always @(posedge clk)begin
        q<=d;
        
    end
      
endmodule

3. DFF with reset

Create 8 D flip-flops with active high synchronous reset. All DFFs should be triggered by the positive edge of clk.

module top_module (
    input clk,
    input reset,            // Synchronous reset
    input [7:0] d,
    output [7:0] q
);

    always @(posedge clk)begin
        if (reset)begin
            q<=8'd0;
        end
        else begin
            q<=d;
        end 
    end
endmodule

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第1张图片

4. DFF with reset value

Create 8 D flip-flops with active high synchronous reset. The flip-flops must be reset to 0x34 rather than zero. All DFFs should be triggered by the negativeedge of clk.

module top_module (
    input clk,
    input reset,
    input [7:0] d,
    output [7:0] q
);
    always @(negedge clk)begin
        if (reset)begin
            q<=8'h34;
        end
        else begin
            q<=d;
        end 
    end

endmodule

5. DFF with asynchronous reset

Create 8 D flip-flops with active high asynchronous reset. All DFFs should be triggered by the positive edge of clk.

module top_module (
    input clk,
    input areset,   // active high asynchronous reset
    input [7:0] d,
    output [7:0] q
);
    always @(posedge clk ,posedge areset)begin
        if (areset)begin
            q<=8'd0;
        end
        else begin
            q<=d;
        end
    end
    
endmodule

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第2张图片

 与同步复位相比,异步复位信号一来,输出信号立马变化。

6. DFF with byte enable

Create 16 D flip-flops. It's sometimes useful to only modify parts of a group of flip-flops. The byte-enable inputs control whether each byte of the 16 registers should be written to on that cycle. byteena[1] controls the upper byte d[15:8], while byteena[0] controls the lower byte d[7:0].

resetn is a synchronous, active-low reset.

All DFFs should be triggered by the positive edge of clk.

module top_module (
    input clk,
    input resetn,
    input [1:0] byteena,
    input [15:0] d,
    output [15:0] q
);
    always @(posedge clk)begin
        if(!resetn)begin
           q<=16'd0; 
        end
        else begin
            if(byteena[1]&&byteena[0])begin
                q<=d;
            end
            else if (byteena[1] && ~byteena[0])begin
                q[15:8]<=d[15:8];
            end
            else if (~byteena[1] && byteena[0])begin
                q[7:0]<=d[7:0];
            end
            else begin
                q<=q;
            end          
    end
    end
endmodule

仿真结果:

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第3张图片

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第4张图片

7. D Latch

Implement the following circuit:

Exams m2014q4a.png

Note that this is a latch, so a Quartus warning about having inferred a latch is expected.

module top_module (
    input d, 
    input ena,
    output q);
assign q=ena?d:q;
    
endmodule

8. DFF

Implement the following circuit,异步复位。

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第5张图片

module top_module (
    input clk,
    input d, 
    input ar,   // asynchronous reset
    output reg q);

    
    always @(posedge clk or posedge  ar)begin
        if(ar) begin
            q<=1'b0;
        end
        else begin
            q<=d;
        end
    end
endmodule

9. DFF

同步复位。

Implement the following circuit:

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第6张图片

module top_module (
    input clk,
    input d, 
    input r,   // synchronous reset
    output reg q);
    always @(posedge clk)begin
        if(r) q<=1'b0;
        else q<=d;
    end
endmodule

10. DFF+gate

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第7张图片

module top_module (
    input clk,
    input in, 
    output reg out);
    
    always @(posedge clk)begin
        out<=in^out;
    end 
endmodule

11. Mux and DFF

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第8张图片

module top_module (
	input clk,
	input L,
	input r_in,
	input q_in,
	output reg Q);
  always@(posedge clk)begin
        if(L)begin
            Q <= r_in;
        end
        else begin
            Q <= q_in;
        end
  end
endmodule

12. Mux and DFF

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第9张图片

module top_module (
    input clk,
    input w, R, E, L,
    output Q
);
always@(posedge clk)begin
        if(L)begin
            Q <= R;
        end
        else begin
            if(E)begin
                Q <= w;
            end
            else begin
                Q <= Q;
            end
        end
    end
 
endmodule

13. DFFs and gates

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第10张图片

module top_module (
    input clk,
    input x,
    output z
); 
reg q1, q2, q3;
always@(posedge clk) begin
	q1 <= q1 ^ x;
	q2 <= ~q2 & x;
	q3 <= ~q3 | x;
end
    assign  z = ~(q1 | q2 | q3);
endmodule

14. Create circuit from truth table

A JK flip-flop has the below truth table. Implement a JK flip-flop with only a D-type flip-flop and gates. Note: Qold is the output of the D flip-flop before the positive clock edge.

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第11张图片

module top_module (
    input clk,
    input j,
    input k,
    output Q); 
    always @(posedge clk)begin
        case ({j,k})
            2'b00:Q<=Q;
            2'b01:Q<=1'b0;
            2'b10:Q<=1'b1;
            2'b11:Q<=~Q;
        endcase    
    end
  
endmodule

15. Detect an edge

For each bit in an 8-bit vector, detect when the input signal changes from 0 in one clock cycle to 1 the next (similar to positive edge detection). The output bit should be set the cycle after a 0 to 1 transition occurs.

类似上升沿检测电路。

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第12张图片

module top_module (
    input clk,
    input [7:0] in,
    output reg [7:0] pedge
);
    
    reg [7:0] in_delay;
    
    always @(posedge clk)begin
  		in_delay<=in;
    end
    
    integer  i;
	always @(posedge clk)begin
        for (i=0;i<8;i=i+1) begin
            if({in_delay[i],in[i]}==2'b01) 
                pedge[i]<=1'b1;
             else 
                 pedge[i]<=1'b0;    
        end
    end
endmodule

16. Detect both edges

For each bit in an 8-bit vector, detect when the input signal changes from one clock cycle to the next (detect any edge). The output bit should be set the cycle after a 0 to 1 transition occurs.

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第13张图片

module top_module (
    input clk,
    input [7:0] in,
    output [7:0] anyedge
);
    reg [7:0]in_delay;

    always @(posedge clk)begin
        in_delay<=in;
    end

    integer i;
    always @(posedge clk)begin
        for (i=0;i<8;i=i+1)begin
            if(in_delay[i]^in[i])
                anyedge[i]<=1'b1;
            else 
                anyedge[i]<=1'b0;
        end
    end
        
        

endmodule

17. Edge capture register

For each bit in a 32-bit vector, capture when the input signal changes from 1 in one clock cycle to 0 the next. "Capture" means that the output will remain 1 until the register is reset (synchronous reset).

Each output bit behaves like a SR flip-flop: The output bit should be set (to 1) the cycle after a 1 to 0 transition occurs. The output bit should be reset (to 0) at the positive clock edge when reset is high. If both of the above events occur at the same time, reset has precedence. In the last 4 cycles of the example waveform below, the 'reset' event occurs one cycle earlier than the 'set' event, so there is no conflict here.

In the example waveform below, reset, in[1] and out[1] are shown again separately for clarity.

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第14张图片

module top_module (
    input clk,
    input reset,
    input [31:0] in,
    output [31:0] out
);
    reg [31:0]in_delay;
    integer i;
    always @(posedge clk)begin
        in_delay<=in;
    end
     always @(posedge clk)begin
         if(reset)begin
             out<=32'd0;
         end
         else begin
             for (i=0;i<32;i=i+1)  begin
                 if({in_delay[i],in[i]}==2'b10)
                     out[i]<=1'b1;
             end
      end
  end
endmodule

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第15张图片

18. Dual-edge triggered flip-flop

双边沿采集数据或信号

You're familiar with flip-flops that are triggered on the positive edge of the clock, or negative edge of the clock. A dual-edge triggered flip-flop is triggered on both edges of the clock. However, FPGAs don't have dual-edge triggered flip-flops, and always @(posedge clk or negedge clk) is not accepted as a legal sensitivity list.

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第16张图片

module top_module (
    input clk,
    input d,
    output q
);

  reg q1,q2;
    always @(posedge clk)
        begin
            q1 <= d;
        end
    always @(negedge clk)
        begin
            q2 <= d;
        end

    assign q = clk? q1:q2;
    
endmodule

HDLBits 系列(6)——Sequential Logic(Latches and Flip-Flops)_第17张图片

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