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HDLBits 系列（4）——Combinational Logic（Basic Gates）

2021-09-08 10:58:58 作者：互联网

3.Circuits

3.1 Combinational Logic

12.Combine circuits A and B

13.Ring or vibrate?

14.Thermostat

15.3-bit population count

16.Gates and vectors

3.Circuits

3.1 Combinational Logic

3.1.1 Basic Gates

1.Wire

module top_module (
    input in,
    output out);
assign out=in;
endmodule

2.GND

module top_module (
    output out);
    
assign out=1'b0;
    
endmodule

3.NOR

module top_module (
    input in1,
    input in2,
    output out);
    
    assign out=~(in1|in2);
    
endmodule

4.Another gate

module top_module (
    input in1,
    input in2,
    output out);
    
    assign out=in1&(~in2);
    
endmodule

5.Two gates

module top_module (
    input in1,
    input in2,
    input in3,
    output out);
    assign out=~(in1^in2)^in3;
endmodule

6.More logic gates

Ok, let's try building several logic gates at the same time. Build a combinational circuit with two inputs, a and b.

There are 7 outputs, each with a logic gate driving it:

out_and: a and b
out_or: a or b
out_xor: a xor b
out_nand: a nand b
out_nor: a nor b
out_xnor: a xnor b
out_anotb: a and-not b

module top_module( 
    input a, b,
    output out_and,
    output out_or,
    output out_xor,
    output out_nand,
    output out_nor,
    output out_xnor,
    output out_anotb
);
    assign out_and=a&b;
    assign out_or=a|b;
    assign out_xor=a^b;
    assign out_nand=~(a&b);
    assign out_nor=~(a|b);
    assign out_xnor=~(a^b);
    assign out_anotb=a&(~b);

endmodule

7.7420 chip

The 7400-series integrated circuits are a series of digital chips with a few gates each. The 7420 is a chip with two 4-input NAND gates.

Create a module with the same functionality as the 7420 chip. It has 8 inputs and 2 outputs.

module top_module ( 
    input p1a, p1b, p1c, p1d,
    output p1y,
    input p2a, p2b, p2c, p2d,
    output p2y );
    
    assign p1y=~(p1a&p1b&p1c&p1d);
    assign p2y=~(p2a&p2b&p2c&p2d);

endmodule

8.Truth tables

module top_module( 
    input x3,
    input x2,
    input x1,  // three inputs
    output f   // one output
);
    
assign f = x3 & x1 | x2 & x1 | ~x3 & x2;
    
endmodule

9.Two-bit equality

Create a circuit that has two 2-bit inputs A[1:0] and B[1:0], and produces an output z. The value of z should be 1 if A = B, otherwise z should be 0.

module top_module ( input [1:0] A, input [1:0] B, output z ); 
  
    assign z=A==B?1'b1:1'b0;
    
endmodule

10.Simple circuit A

Module A is supposed to implement the function z = (x^y) & x. Implement this module.

module top_module (input x, input y, output z);
    assign z=(x^y)&x;
endmodule

11.Simple circuit B

module top_module ( input x, input y, output z );
    assign z=x^(~y);
endmodule

12.Combine circuits A and B

See mt2015_q4a and mt2015_q4b for the submodules used here. The top-level design consists of two instantiations each of subcircuits A and B, as shown below.

module top_module (input x, input y, output z);
    wire za;
    wire zb;
    
    assign za = (x ^ y) & x;
    assign zb = x ~^ y;
    assign z = (za | zb) ^ (za & zb);
    
endmodule

Suppose you are designing a circuit to control a cellphone's ringer and vibration motor. Whenever the phone needs to ring from an incoming call (inputring), your circuit must either turn on the ringer (output ringer = 1) or the motor (output motor = 1), but not both. If the phone is in vibrate mode (input vibrate_mode = 1), turn on the motor. Otherwise, turn on the ringer.

module top_module (
    input ring,
    input vibrate_mode,
    output ringer,       // Make sound
    output motor         // Vibrate
);
    assign ringer=ring & (~vibrate_mode);
    assign motor =ring&vibrate_mode;
   
    
    
endmodule

14.Thermostat

A heating/cooling thermostat controls both a heater (during winter) and an air conditioner (during summer). Implement a circuit that will turn on and off the heater, air conditioning, and blower fan as appropriate.

The thermostat can be in one of two modes: heating (mode = 1) and cooling (mode = 0). In heating mode, turn the heater on when it is too cold (too_cold = 1) but do not use the air conditioner. In cooling mode, turn the air conditioner on when it is too hot (too_hot = 1), but do not turn on the heater. When the heater or air conditioner are on, also turn on the fan to circulate the air. In addition, the user can also request the fan to turn on (fan_on = 1), even if the heater and air conditioner are off.

Try to use only assign statements, to see whether you can translate a problem description into a collection of logic gates.

module top_module (
    input too_cold,
    input too_hot,
    input mode,
    input fan_on,
    output heater,
    output aircon,
    output fan
); 
    assign heater = too_cold & mode;
    assign aircon = too_hot & ~mode;
    assign fan = fan_on | heater | aircon;

    
    
endmodule

15.3-bit population count

A "population count" circuit counts the number of '1's in an input vector. Build a population count circuit for a 3-bit input vector.

module top_module( 
    input [2:0] in,
    output [1:0] out );
    
    wire [1:0]count;
    integer i;
    always @(*)begin
        count=0;
        for (i=0;i<3;i=i+1)begin
            if(in[i])
                count=count+1;
            else 
                count=count;
           end
    end
    assign out=count;
    
endmodule

16.Gates and vectors

You are given a four-bit input vector in[3:0]. We want to know some relationships between each bit and its neighbour:

out_both: Each bit of this output vector should indicate whether both the corresponding input bit and its neighbour to the left (higher index) are '1'. For example, out_both[2] should indicate if in[2] and in[3] are both 1. Since in[3] has no neighbour to the left, the answer is obvious so we don't need to know out_both[3].
out_any: Each bit of this output vector should indicate whether any of the corresponding input bit and its neighbour to the right are '1'. For example, out_any[2] should indicate if either in[2] or in[1] are 1. Since in[0] has no neighbour to the right, the answer is obvious so we don't need to know out_any[0].
out_different: Each bit of this output vector should indicate whether the corresponding input bit is different from its neighbour to the left. For example, out_different[2] should indicate if in[2] is different from in[3]. For this part, treat the vector as wrapping around, so in[3]'s neighbour to the left is in[0].

module top_module( 
    input [3:0] in,
    output [2:0] out_both,
    output [3:1] out_any,
    output [3:0] out_different );
 
    assign out_both={in[3]&in[2],in[2]&in[1],in[1]&in[0]};
    assign out_any={in[3]|in[2],in[2]|in[1],in[1]|in[0]};
    assign out_different={in[3]^in[0],in[3]^in[2],in[2]^in[1],in[1]^in[0]};
    
endmodule

17.Even longer vectors

You are given a 100-bit input vector in[99:0]. We want to know some relationships between each bit and its neighbour:
out_both: Each bit of this output vector should indicate whether both the corresponding input bit and its neighbour to the left are '1'. For example, out_both[98] should indicate if in[98] and in[99] are both 1. Since in[99] has no neighbour to the left, the answer is obvious so we don't need to know out_both[99].
out_any: Each bit of this output vector should indicate whether any of the corresponding input bit and its neighbour to the right are '1'. For example, out_any[2] should indicate if either in[2] or in[1] are 1. Since in[0] has no neighbour to the right, the answer is obvious so we don't need to know out_any[0].
out_different: Each bit of this output vector should indicate whether the corresponding input bit is different from its neighbour to the left. For example, out_different[98] should indicate if in[98] is different from in[99]. For this part, treat the vector as wrapping around, so in[99]'s neighbour to the left is in[0].

module top_module( 
    input [99:0] in,
    output [98:0] out_both,
    output [99:1] out_any,
    output [99:0] out_different );
    
    assign out_both = in[99:1] & in[98:0];
    assign out_any = in[99:1] | in[98:0];
    assign out_different = {in[0], in[99:1]} ^ in; 
    
endmodule

标签：Gates,input,HDLBits,module,Logic,output,bit,assign,out
来源： https://blog.csdn.net/weixin_37728585/article/details/120173455