Mini-HDMI port works the same as HDMI Port, but it is smaller than HDMI Port. If you have a laptop which gives you a Mini-HDMI Port and your Desktop Computer does not have Mini-HDMI Port.
In that case, you required Mini-HDMI to HDMI cable or a Mini-HDMI-to-HDMI adapter with an HDMI cable.
When we move to the Micro HDMI PORT, it is the same as HDMI OR MINI-HDMI Port. The only difference is that it is a little smaller compared to HDMI OR MINI-HDMI Port. If your laptop has Micro HDMI Port and your desktop does not have in that case, you will be required to HDMI cable or a Micro HDMI to HDMI adapter with an HDMI cable
Nowadays, many laptops come with USB TYPE C Port. You can also connect the computer with your monitor with USB TYPE C Port.
If your laptop has USB C Port and your monitor does not have. In that case, you will need a USB-C to HDMI adaptor with an HDMI cable to convert the laptop into a desktop pc.
VGA port is mostly used in old monitor models. VGA Port has 15 holes. It is only used for video connection. You will require a separate audio connection to connect your computer speaker.
You also connect a laptop to monitor with VGA Port. You will need VGA to HDMI adaptor to connect VGA to latest monitor.
DVI PORTS are also used in old laptops and computers. It has 24 holes with 24 pins. It is used for only video output.
For audio connection, you need a separate link to connect the speakers with your computer. If your laptop has DVI Port and your monitor does not, in this case, you will need a DVI to HDMI adaptor to connect your computer with another monitor.
Mini Display Port:
Mini Display Port also comes in the old MacBook and MacBook Pro Models. It is same as Thunderbolt shape, but they are the difference.
If your laptop has a Mini Display Port and your monitor does not, you will need a Mini Display Port to HDMI adaptor and HDMI cable to connect your old MacBook and MacBook Pro Models, external Monitors.
Thunderbolt 1 & 2 are mostly found in MacBook Pro or MacBook Air Computers. If your laptop has a Thunderbolt 1 & 2 and your monitor does not, you will need a Thunderbolt to HDMI adaptor and an HDMI cable to connect your computer to monitor.
If your laptop has a Thunderbolt 3 & 4 in that case, you also connect your computer to monitor with USB C Port.