When a laptop screen fails to mirror to a television despite being correctly connected via an HDMI cable, a common issue is that the television is set to the wrong input source. Modern televisions have multiple input options (e.g., HDMI 1, HDMI 2, AV, etc.), and selecting the correct input that corresponds to the port the HDMI cable is connected to is essential for displaying the laptop's screen. The blinking logo on the TV screen typically indicates that the TV is functioning but not receiving a signal from the selected input source. Changing the TV's input to the correct HDMI port should resolve the issue and allow the laptop screen to mirror onto the TV.References: Hardware 1101.docx, "Connecting External Displays" section.