The bitwise sum operator is the one operator that has all the bells and whistles of a computer. Using it in a mathematical context is a great way to highlight your points, but to my eye, it doesn’t help you to get any further than the first step. This is because a bitwise sum doesn’t represent any particular values.

With a bitwise sum, you can get a bit of a sense of the things we mean by numbers. For example, a bitwise sum is like x, which represents one thing, and is the sum of all the other parts of the same magnitude.

A bitwise sum is kind of like this mathematical function that takes a magnitude and a number and sums them. You can see it in the image below where we have a bitwise sum (which takes a magnitude and a number) and a multiplication operator. The multiplication operator is like b, which is the product of the bits (the second bit is always 0, and the previous bits are 1).

The bitwise sum of the 2 and 5 is 25.5.

The bitwise sum of the 2 and 5 is 25.5.

In other words, bitwise sum is a kind of “multiplication” that takes two numbers of the same magnitude and multiplies them together. We see this in the image below where the bits are colored red, black, and green.

Bitwise sum would be impossible without a multiplication operator, and you can think of it as taking the product of two numbers and combining them into a new number. It’s a process that would be impossible with a traditional multiplication operator such as a + b. But if we think of bitwise sum as taking a number and dividing it by another number, then the multiplication operator is only necessary if we want to take the bitwise sum of two numbers that are not all the same magnitude.

To simplify bitwise sum, we can use the fact that the sum of two numbers is equal to the product of the two numbers. This works out well for integer numbers, but what if we want to find the sum of two strings of bits? Well, bitwise sums are just the same thing as bitwise ORs, and there is a one-to-one correspondence between bitwise sum and bitwise OR.

This is a great example of why bitwise sum is so useful, because it can help us solve some difficult problems. A bitwise OR and bitwise OR can be simplified to bitwise OR, but when you get to bitwise sum, you can use the product of the two numbers to get the sum.

It’s like using the square root of two to solve some bit-flip and bit-flop puzzles. Or better yet, use a lookup table to quickly calculate the sum of two numbers.