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// Adder tree (simplified example – real design uses full adders) assign sum_stage0 = 8'b0, pp0 + 7'b0, pp1, 1'b0; assign sum_stage1 = sum_stage0 + 6'b0, pp2, 2'b0; // ... continue for all partial products assign P = sum_stage3; // Final result after all additions endmodule
module booth_multiplier_8bit ( input signed [7:0] a, b, // signed 8-bit inputs output signed [15:0] product ); reg signed [15:0] pp [0:3]; integer i; always @(*) begin // Radix-4 Booth encoding of B // Simplified example: actual impl requires recoding logic for (i = 0; i < 4; i = i + 1) begin case (b[2*i+1], b[2*i], b[2*i-1]) // ... booth encoding cases default: pp[i] = 16'sb0; endcase end product = pp[0] + pp[1] + pp[2] + pp[3]; end endmodule
Introduction Digital multiplication is a cornerstone of modern computing — from simple microcontrollers to high-performance DSP chips. For FPGA and ASIC designers, implementing an efficient 8-bit multiplier in Verilog is a rite of passage. Whether you're a student wrapping up your computer architecture lab or an engineer optimizing resource usage, the search query "8bit multiplier verilog code github" represents a quest for proven, reusable, and synthesizable designs.
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.
A7 A6 A5 A4 A3 A2 A1 A0 (8 bits) × B7 B6 B5 B4 B3 B2 B1 B0 (8 bits) --------------------------- A×B0 (shifted 0) → 8 bits A×B1 (shifted 1) → 9 bits (with overflow) A×B2 (shifted 2) → 10 bits ... A×B7 (shifted 7) → 15 bits --------------------------- Sum of all → 16-bit product The challenge: summing all partial products efficiently. The simplest approach — rely on modern synthesis tools to infer a multiplier.
: Educational FPGAs (like BASYS 3 or DE10-Lite), resource-constrained designs without DSP slices. Verilog Implementation #3: Sequential (Pipelined) Multiplier Best for low-area designs where speed is not critical. The multiplication takes 8 clock cycles.
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