Complete the architecture below to build an 8-bit saturating adder: add the two operands, but if the sum is greater than what can be represented by the 8-bit output, let it saturate (take its maximum value) rather than rolling over. For example, 200 + 100 should equal 255, not 44.

Hint: you'll know you need to saturate if the 8-bit result would overflow. One or more intermediate signals might help here.

library IEEE;
use IEEE.std_logic_1164.all;
use IEEE.numeric_std.all;
entity saturatingadd is
port(
a : in unsigned(7 downto 0);
b : in unsigned(7 downto 0);
result : out unsigned(7 downto 0)
);
end saturatingadd;
architecture synth of saturatingadd is
begin
result <= a + b;
end;

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