You Do Need power plug adapter while traveling from Hungary to Bermuda.

Here is Why You Need An Adapter

The outlet and plug type used in Bermuda are A and B and in Hungary are C and F. This is how they look like.

Hungary

In Hungary, outlets of type C and F are in use.

Type C

Type F

Bermuda

In Bermuda, outlets of type A and B are in use.

Type A

Type B