While installing SharePoint Server 2016 you get the “Microsoft SharePoint Server 2016 encountered an error during setup”, and when the error page opens you see its error 1603.

Solution :-

Run the below  PowerShell with  administrator privileges

if(!(Test-Path HKLM:SOFTWAREPoliciesMicrosoftWindowsInstaller)){
New-Item -Path HKLM:SOFTWAREPoliciesMicrosoftWindowsInstaller | Out-Null
}
$regProps = Get-ItemProperty -Path HKLM:SOFTWAREPoliciesMicrosoftWindowsInstaller
if(! $regProps.logging){
New-ItemProperty -Path HKLM:SOFTWAREPoliciesMicrosoftWindowsInstaller -Name logging -Value voicewarmup -PropertyType String | Out-Null
}
if(! $regProps.debug){
New-ItemProperty -Path HKLM:SOFTWAREPoliciesMicrosoftWindowsInstaller -Name debug -Value 3 -PropertyType DWord | Out-Null
}