Writing a 4-bit Adder in Verilog

 ๐Ÿ’ก Concept Overview


A 4-bit adder performs binary addition of two 4-bit numbers (A and B) and generates a 4-bit sum along with a carry-out bit.

It’s a combination of logic gates that models how addition works at the hardware level.


๐Ÿ’ป Verilog Code: 4-Bit Adder

// 4-Bit Adder in Verilog

module four_bit_adder (

  input [3:0] A,       // 4-bit input A

  input [3:0] B,       // 4-bit input B

  output [3:0] SUM,    // 4-bit sum output

  output CARRY         // Carry-out

);


  assign {CARRY, SUM} = A + B;  // Perform addition


endmodule


⚙️ Explanation


input [3:0] → Defines 4-bit input signals for A and B.


output [3:0] → Defines a 4-bit output for the SUM.


assign → Used for continuous assignment; the addition happens automatically when inputs change.


{CARRY, SUM} → Concatenation; stores the carry and the sum result together.


๐Ÿงช Testbench Example


You can simulate this using a testbench to verify the adder’s behavior.


module test_four_bit_adder;

  reg [3:0] A, B;

  wire [3:0] SUM;

  wire CARRY;


  four_bit_adder uut (A, B, SUM, CARRY);


  initial begin

    A = 4'b0101; B = 4'b0011; #10; // 5 + 3

    $display("A=%b B=%b | SUM=%b CARRY=%b", A, B, SUM, CARRY);

    A = 4'b1111; B = 4'b0001; #10; // 15 + 1

    $display("A=%b B=%b | SUM=%b CARRY=%b", A, B, SUM, CARRY);

    $finish;

  end

endmodule


▶️ Simulation Output

A=0101 B=0011 | SUM=1000 CARRY=0

A=1111 B=0001 | SUM=0000 CARRY=1

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