A blinking white light on a Roku device often signifies a connectivity or power issue. Start by unplugging the Roku device from the power source and waiting for a minute before plugging it back in. Ensure the power adapter is connected securely and try a different outlet if possible. Check the HDMI connection between the Roku and the TV, ensuring it's firmly inserted. If using Wi-Fi, restart your router and ensure the Roku is within range. For Roku remotes, replace or recharge the batteries. Performing a system restart or factory reset, if necessary, via the Roku settings menu or by pressing the reset button can often resolve the blinking white light issue.