What are the PowerShell equivalents of Bash's && and || operators?

What Bash must be doing is interpreting the integer exit code of the commands as true or false when passed to the logical operators. PowerShell doesn't do this - but a function can be made to wrap the command and create the same behavior:

> function Get-ExitBoolean($cmd) { & $cmd | Out-Null; $? }

($? is a bool containing the success of the last exit code)

Given two batch files:

#pass.cmd
exit

and

#fail.cmd
exit /b 200

...the behavior can be tested:

> if (Get-ExitBoolean .\pass.cmd) { write pass } else { write fail }
pass
> if (Get-ExitBoolean .\fail.cmd) { write pass } else { write fail }
fail

The logical operators should be evaluated the same way as in Bash. First, set an alias:

> Set-Alias geb Get-ExitBoolean

Test:

> (geb .\pass.cmd) -and (geb .\fail.cmd)
False
> (geb .\fail.cmd) -and (geb .\pass.cmd)
False
> (geb .\pass.cmd) -and (geb .\pass.cmd)
True
> (geb .\pass.cmd) -or (geb .\fail.cmd)
True