Answer :
The statement that Tmin(32-bit) is -2,147,483,648 and when cast to unsigned, it becomes 2,147,483,648 is true. This happens due to how signed integers use two's complement to indicate the sign of the number and how unsigned integers interpret the same bits differently.
In the realm of computers and technology, specifically dealing with data types in programming, the statement that Tmin(32-bit) is −2,147,483,648 and when cast to unsigned, it becomes 2,147,483,648 is indeed true.
The minimum value that a 32-bit signed integer can hold is -2,147,483,648. This is due to how signed integers are represented in binary inside a computer. They use a technique called two's complement to leverage one of the bits to represent the sign of the number. Therefore, the range of a 32-bit signed integer is from -2,147,483,648 to 2,147,483,647.
Now if this 32-bit number were cast to an unsigned integer, the same bits are now interpreted differently. An unsigned integer does not reserve a bit for the sign of the number, meaning all the bits can be used for the value of the number. Translating the bits from the minimum signed integer would indeed result in the number 2,147,483,648 as an unsigned integer.
In conclusion, the same sequence of bits can represent different numbers depending on whether they are interpreted as signed or unsigned integers.
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