Binary To Bcd Verilog — Code

: BCD uses only 0–9; combinations 1010–1111 are invalid.

Q: What is the difference between binary and BCD? A: Binary is a base-2 number system, while BCD is a base-10 number system that uses four bits to represent each decimal digit. Binary To Bcd Verilog Code

| Method | Pros | Cons | |------------------------|------------------------------|------------------------------| | | No division, hardware‑friendly | Slightly more logic for large widths | | Look‑up Table (LUT) | Very fast for small widths | Impractical for >8 bits | | Division/Modulo | Simple in software | Uses multipliers – expensive in hardware | : BCD uses only 0–9; combinations 1010–1111 are invalid

In hardware, division and modulo are extremely expensive – they require many clock cycles or large combinational logic. The Double-Dabble algorithm uses , making it ideal for digital logic. // start 12'b0 stage1_bin = binary

// Stage 1: first 4 shifts always @(posedge clk or negedge rst_n) begin if (!rst_n) begin stage1_bcd <= 0; stage1_bin <= 0; end else begin // First 4 bits of binary[7:4] stage1_bcd = 4'd0, 4'd0, 4'd0; // start 12'b0 stage1_bin = binary; // Iteration 1 stage1_bcd = stage1_bcd[10:0], stage1_bin[7]; stage1_bcd[11:8] = add3(stage1_bcd[11:8]); stage1_bcd[7:4] = add3(stage1_bcd[7:4]); stage1_bcd[3:0] = add3(stage1_bcd[3:0]); stage1_bin = stage1_bin[6:0], 1'b0; // Iteration 2..4 (unrolled for brevity – omitted here) // In real code, repeat shift+add3 4 times end end