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// Simple 32-bit ALU supporting addition and subtraction (sel=0/1).
// Outputs are registered. Overflow/underflow detected via 33-bit extended arithmetic.
// Active-low synchronous reset. Used as a sandbox for formal verification.
module simple_alu (
//inputs
input logic clk,
input logic [31:0] a,
input logic [31:0] b,
input logic sel, //sel = 0 -> ADD, sel = 1 -> SUB
input logic rst, //active LOW sync reset
//outputs
output logic [31:0] y,
output logic overflow
);
logic [32:0] sum;
logic [32:0] diff;
always_comb begin
sum = {1'b0, a} + {1'b0, b};
diff = {1'b0, a} - {1'b0, b};
end
always_ff @(posedge clk) begin
if (~rst) begin
y <= '0;
overflow <= '0;
end
else begin
case (sel)
0: begin
y <= sum[31:0];
overflow <= sum[32];
end
1: begin
y <= diff[31:0];
overflow <= diff[32];
end
endcase
end
end
endmodule
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