High School

Content loaded tmin(32-bit) is −2,147,483,648 and when cast to unsigned, it becomes 2,147,483,648. a)true b)false

Answer :

Final answer:

The minimum value of a 32-bit signed integer when cast to an unsigned integer becomes the maximum value of a 32-bit unsigned number, not its positive original value. Thus, the statement is true.

Explanation:

The statement that the minimum value of a 32-bit signed integer (−2,147,483,648) when cast to an unsigned integer becomes the value 2,147,483,648 is false. In binary representation, negative numbers are often stored using a format called two's complement. When a negative two's complement number is reinterpreted as an unsigned number, the result is not the positive version of the original number.

Consider -2,147,483,648 (the minimum 32-bit signed integer). In binary, it is represented as 10000000000000000000000000000000. If you interpret this as an unsigned integer, you get the value 2,147,483,648, the maximum value of a 32-bit unsigned integer. So, the correct answer is true.

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