js implements negative number addition

This article explains how negative addition is implemented in JavaScript using a two's complement representation of numbers. It also discusses the complexities of implementing negative addition in JavaScript, including the potential for overflow and

How is negative addition implemented in JavaScript?

In JavaScript, negative addition is implemented using a two's complement representation of numbers. This representation allows for both positive and negative numbers to be represented using the same number of bits.

When adding two signed numbers in JavaScript, the following steps are taken:

1. The two numbers are converted to their two's complement representation.
2. The two's complement representations are added together using bitwise addition.
3. The result is converted back to its signed representation.

For example, suppose you want to add the numbers -5 and 3. The following steps would be taken:

1. -5 is converted to its two's complement representation, which is 11111011.
2. 3 is converted to its two's complement representation, which is 00000011.
3. The two's complement representations are added together using bitwise addition, which results in 11111110.
4. The result is converted back to its signed representation, which is -2.

What are the complexities of implementing negative addition in JavaScript?

Implementing negative addition in JavaScript is a straightforward process, and the time complexity of the operation is O(1). However, there are some potential complexities that can arise, depending on the implementation used.

One potential complexity is that the result of a negative addition may overflow or underflow. Overflow occurs when the result of the addition is too large to be represented as a 32-bit integer. Underflow occurs when the result of the addition is too small to be represented as a 32-bit integer.

In JavaScript, overflow and underflow are not detected by default. This means that it is possible to add two numbers together and get a result that is incorrect due to overflow or underflow.

Does JavaScript consider overflow/underflow in its negative addition implementation?

No, JavaScript does not consider overflow or underflow in its negative addition implementation. This means that it is possible to add two numbers together and get a result that is incorrect due to overflow or underflow.

To avoid overflow or underflow, you can use the Math.maxSafeInteger and Math.minSafeInteger constants to check the values of the numbers before adding them together. If either of the numbers is greater than Math.maxSafeInteger or less than Math.minSafeInteger, then you can throw an error or handle the overflow or underflow in some other way.

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