Consider a 2-flip-flop synchronizer used to transfer a signal from an asynchronous clock domain to a synchronous clock domain. What will be the value of sync_out after 3 rising edges of clk_sync if async_in is held high?
library IEEE; use IEEE.STD_LOGIC_1164.ALL; entity sync is Port ( clk_sync : in STD_LOGIC; async_in : in STD_LOGIC; sync_out : out STD_LOGIC); end sync; architecture Behavioral of sync is signal ff1, ff2 : STD_LOGIC := '0'; begin process(clk_sync) begin if rising_edge(clk_sync) then ff1 <= async_in; ff2 <= ff1; end if; end process; sync_out <= ff2; end Behavioral;
Think about how the signal propagates through two flip-flops synchronized by the clock.
The signal async_in is sampled by ff1 on the first rising edge, then ff2 samples ff1 on the next rising edge. After 3 rising edges, ff2 will have the stable value '1'.
Why do we use synchronizers when transferring signals between different clock domains?
Think about what happens when signals cross clock domains asynchronously.
Synchronizers help prevent metastability by allowing signals to settle before being used in the receiving clock domain, ensuring stable and reliable data transfer.
Examine the following VHDL code snippet intended to transfer a signal from an asynchronous domain to a synchronous domain. What is the main issue?
process(clk_sync) begin if rising_edge(clk_sync) then sync_out <= async_in; end if; end process;
Think about what happens if you sample an asynchronous signal directly with one flip-flop.
Directly assigning async_in to sync_out on the clock edge without using a synchronizer flip-flop chain can cause metastability and unreliable behavior.
Choose the VHDL code snippet that correctly implements a 2-flip-flop synchronizer for an asynchronous input signal async_in synchronized to clk_sync.
Remember the order of flip-flops in a synchronizer chain.
Option A correctly samples async_in into ff1 and then transfers ff1 to ff2 on the next clock edge, producing a stable synchronized output.
A design requires that the probability of metastability causing an error is less than 1 in 109. Given the metastability resolution time constant Ļ and clock period T, how many synchronizer flip-flops n are needed if the probability is approximated by P = e^(-n * T / Ļ)?
Choose the smallest integer n that satisfies P < 10-9 with T / Ļ = 5.
Use the inequality e^(-n * 5) < 10^-9 and solve for n.
Taking natural logs: -n * 5 < ln(10^-9) = -9 * ln(10). So n > (9 * ln(10)) / 5 ā 4.15. The smallest integer satisfying this is 5.
