

: High — this is the most common "learning multiplier" on repositories. Look for tags like sequential , FSM , shift-add . Verilog Implementation #4: Booth-Encoded Multiplier (Signed) Booth multiplication reduces the number of partial products by encoding overlapping groups of bits. For an 8-bit multiplier, radix-4 (modified Booth) reduces 8 partial products to 4 or 5.
module wallace_tree_8bit ( input [7:0] A, B, output [15:0] P ); // Step 1: generate partial products wire [7:0] pp[0:7]; genvar i, j; generate for(i = 0; i < 8; i = i+1) begin assign pp[i] = 8A[i] & B; end endgenerate // Step 2: reduction using full/half adders (not shown in full) // The tree would reduce 8 vectors to 2 vectors (sum and carry) wire [15:0] sum_vec, carry_vec; 8bit multiplier verilog code github
module mult_8bit_comb ( input [7:0] a, b, output reg [15:0] product ); always @(*) begin product = a * b; // Synthesized into LUTs or DSP slices end endmodule : Minimal code, fast simulation. Cons : No control over architecture; may waste resources on FPGAs if not using DSP slices. : High — this is the most common
module sequential_multiplier_8bit ( input clk, rst, start, input [7:0] a, b, output reg [15:0] product, output reg done ); reg [2:0] count; reg [7:0] multiplicand, multiplier; reg [15:0] acc; always @(posedge clk or posedge rst) begin if (rst) begin count <= 0; done <= 0; product <= 0; acc <= 0; end else if (start) begin count <= 0; multiplicand <= a; multiplier <= b; acc <= 0; done <= 0; end else if (!done && count < 8) begin if (multiplier[0]) acc <= acc + 8'b0, multiplicand; multiplicand <= multiplicand << 1; multiplier <= multiplier >> 1; count <= count + 1; end else if (count == 8 && !done) begin product <= acc; done <= 1; end end endmodule For an 8-bit multiplier, radix-4 (modified Booth) reduces