Power from monitor to PC

Apr 26, 2018
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When I shut my PC the LEDs on my mother board remain lit even if i pull the power plug. Power appears to be coming from my monitor. When I pull the HDMI cable the PC LED go out. Is this normal? The reason I care is recently the computer will not boot when monitor is plugged in but I can plug in the HDMI cable after the computer is up and it seems to work.
Thanks, Michael