You Do Need power plug adapter while traveling from Algeria to South Africa.

Here is Why You Need An Adapter

The outlet and plug type used in South Africa are C, M and N and in Algeria are C and F. This is how they look like.

Algeria

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

Type C

Type F

South Africa

In South Africa, outlets of type C, M and N are in use.

Type C

Type M

Type N