Solution

The correct answer is The range of values for signed data types is more than that of unsigned data types

Key Points

• Signed integers can represent both positive and negative numbers because they reserve one bit for the sign of the number. For example, in an 8-bit signed integer, the leftmost bit is used as the sign bit. When this bit is set to 0, it means the number is positive, and when it is 1, the number is negative. The remaining 7 bits are used to represent the actual number value. Therefore, an 8-bit signed integer can represent values in the range of -128 (10000000 in binary) through 127 (01111111 in binary).
• On the other hand, unsigned integers can only represent positive numbers as well as zero because they do not reserve a bit for a sign. Instead, all the bits are used to represent the value of the number itself. For example, an 8-bit unsigned integer can represent values in the range of 0 (00000000 in binary) through 255 (11111111 in binary).
• So, the 'range' of signed and unsigned integers of the same bit length is technically the same, the 'scope' of the unsigned integer is larger, encompassing higher positive numbers at the cost of any negative numbers. For signed integers, the range is distributed in positive and negative directions around zero. Hence, statement 3 is incorrect.

Additional InformationData types in programming denote the kind of value a variable can store and how much memory it requires. Different programming languages have various data types, but some common datatypes:

• Integer (int): Integers are simply whole numbers, positive, negative, or zero, without a fractional component.
• Floating-point numbers (float, double): These numbers include a decimal point and can therefore represent fractional numbers. The differences are in precision and range, with 'double' typically allowing for a larger number of significant digits and a larger range than 'float'.
• Character (char): Character data types are used to store individual characters, such as letters, numbers, punctuation marks, or other symbols.
• Boolean (bool): The Boolean data type can hold only two possible values, true or false. It's used for logical operations.
• String: A String is a sequence of characters and is typically used to store and manipulate text.
• Array: An array is a data type that can store a fixed-size sequential collection of elements of the same type.
• Object: In object-oriented languages, 'object' refers to an instance of a class. It can contain properties (data) and methods (functions).
• Null: This is a special type for the value which represents no value or no object.
• Unsigned integer (unsigned int): This is an integer that can only be non-negative.
• Signed integer (signed int): This is an integer that can be either non-negative or negative.