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Before answering the question, it's important to understand the concepts of inheritance and access specifiers in object-oriented programming. Inheritance is when one class (derived class) inherits properties and methods from another class (base class). Access specifiers (or access modifiers) define the scope and visibility of class members (variables, methods, and inner classes). There are three access specifiers: 1. Public: Members declared as public are accessible from any part of the program. 2. Private: Members declared as private can only be accessed within the same class. 3. Protected: Members declared as protected can be accessed within the same class and by the derived class.

In this exercise, we have a private base class, which means all its members will be private. When a derived class inherits from this base class, it will have access to the public and protected members of the base class, while the private members will remain inaccessible to the derived class. According to the question, it is claimed that public members from the private base class become private members in the derived class. However, this is not entirely accurate. If the derivation itself is specified as private, public members of the base class become private members of the derived class. If the derivation is public, public members of the base class become public members of the derived class. If the derivation is protected, public members of the base class become protected members of the derived class.

Based on the above explanation, the given statement is considered to be False. Public members of a private base class will not necessarily become private members of the derived class; it depends on the type of derivation (public, private, or protected).