: 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 array_multiplier_8bit ( input [7:0] A, B, output [15:0] P ); wire [7:0] pp0, pp1, pp2, pp3, pp4, pp5, pp6, pp7; wire [15:0] sum_stage0, sum_stage1, sum_stage2, sum_stage3; // Generate partial products (AND gates) assign pp0 = 8A[0] & B; assign pp1 = 8A[1] & B; assign pp2 = 8A[2] & B; assign pp3 = 8A[3] & B; assign pp4 = 8A[4] & B; assign pp5 = 8A[5] & B; assign pp6 = 8A[6] & B; assign pp7 = 8A[7] & B; 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
: A full gate-level array multiplier would require a ripple or carry-save adder tree. For clarity, the above is simplified. Real implementations use half-adders and full-adders in a structured array. For an 8-bit multiplier, radix-4 (modified Booth) reduces
Run with:
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;