Is the StarTech MDP2HD4KSW compatible with MacBook Pro and Air?

Yes, the StarTech MDP2HD4KSW is compatible with Mini DisplayPort-enabled computer systems such as MacBook Pro and Air.

What is the maximum resolution supported by the StarTech MDP2HD4KSW Mini DisplayPort to HDMI converter?

The maximum digital resolution supported by the StarTech MDP2HD4KSW converter is 4K x 2K at 30 Hz.

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StarTech MDP2HD4KSW Mini DisplayPort to HDMI 4K Audio / Video Converter - mDP 1.2 to HDMI Active Adapter for MacBook Pro/Air - 4K @ 30 Hz - White

Connect an HDMI Display to a Single Mode Mini DisplayPort video source
Compatible with Mini DisplayPort-enabled computer systems such as Surface Pro, MacBook Pro / Air and HDMI-enabled Televisions monitors and projectors
Mini DisplayPort 1.2 to HDMI / Mini DisplayPort to HDMI Active Adapter Converter
Mini DisplayPort to HDMI 4K Converter / mDP to HDMI / mDP 1.2 to HDMI converter / 4K mDP to HDMI