Source-Code » Verilog » 4-Bit Binary to Gray Counter Converter in Verilog

4-Bit Binary to Gray Counter Converter in Verilog

verilog
gray code
binary
counter
converter

This article presents a Verilog implementation of a 4-bit binary to Gray code counter converter.

Symbol and Truth Table

Here’s the symbol and truth table for the 4-bit binary to Gray counter converter:

4 bit binary to gray counter converter

Truth Table:

RstClkEnB3B2B1B0G3G2G1G0
1X000000000
00100010001
01100100011
00100110010
01101000110
00101010111
01101100101
00101110100
01110001100
00110011101
01110101111
00110111110
01111001010

Verilog Code

Here’s the Verilog code for the 4-bit binary to Gray code converter:

module b2g(b,g);
  input [3:0] b;
  output [3:0] g;

  xor (g[0],b[0],b[1]),
      (g[1],b[1],b[2]),
      (g[2],b[2],b[3]);

  assign g[3]=b[3];
endmodule

This Verilog module, b2g, takes a 4-bit binary input b and outputs a 4-bit Gray code g. The Gray code bits are generated by XORing adjacent bits of the binary input, with the most significant bit (MSB) remaining the same.

Simulation Result

The following image shows a simulation result for the Verilog code:

4 bit binary to gray counter converter simulation result

This result verifies the functionality of the designed Verilog code.