What is the value range of int32?

The value range of int32 is from -2 to the 31st power to 2 to the 31st power minus 1, that is, -2147483648 to 2147483647. int32 is a signed integer type, which means it can represent positive numbers, negative numbers, and zero. It uses 1 bit to represent the sign bit, and the remaining 31 bits are used to represent the numerical value. Since one bit is used to represent the sign bit, the effective number of int32 bits is 31.

# Operating system for this tutorial: Windows 10 system, Dell G3 computer.

int32 is an integer data type that can store 32-bit binary numbers. In computers, the value range of int32 is determined by its binary representation. Below I will explain the value range of int32 in detail.

int32 is a signed integer type, which means it can represent positive numbers, negative numbers, and zero. It uses 1 bit to represent the sign bit, and the remaining 31 bits are used to represent the value. Since one bit is used to represent the sign bit, the effective number of int32 bits is 31. This means that the maximum absolute value that can be represented by int32 is 2 raised to the 31st power minus 1. Specifically, the value range of int32 is from -2 to the power of 31 to 2 to the power of 31 minus 1.

In computers, binary numbers are represented by using 0 and 1. The binary representation of an int32 is determined by its number of bits, each bit can be 0 or 1. The highest bit (the leftmost bit) is used to represent the sign bit, 0 represents a positive number, and 1 represents a negative number. The remaining 31 bits are used to represent numerical values.

For positive numbers, the binary representation of int32 is the same as the unsigned integer type. For example, the binary representation of int32 is 0000000000000000000000000000000 to 011111111111111111111111111111111, and the corresponding decimal range is 0 to 2 raised to the 31st power minus 1.

For negative numbers, the binary representation of int32 uses the complement representation method. One's complement is a method used to represent negative numbers by inverting a positive number and adding 1. For example, the two's complement representation of -1 is 11111111111111111111111111111111. Therefore, the two's complement representation of int32 is 1000000000000000000000000000000 to 11111111111111111111111111111111, and the corresponding decimal range is -2 to the 31st power to -1.

Finally, int32 can also represent zero. The binary representation of zero is 00000000000000000000000000000000.

To summarize, the value range of int32 is from -2 to the 31st power to 2 to the 31st power minus 1, that is, -2147483648 to 2147483647. In actual programming, we can use int32 to store integer data in this range. When dealing with integers beyond this range, we need to use larger data types such as int64.

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