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What does weight mean in mathematics?
I think you should ask a question about the system. If so, you can understand it correctly like this:

In the decimal system, * * * has ten numbers: 0-9. In the representation of a number, this number plays different roles in different positions, such as:

The number 2222. The most effective 2 means 2000, which is 2* 1000.

The second 2 means 200, which is 2* 100, and so on. The next two 2s are 20 (2 * 10) and 2 (2 * 1) respectively.

Then, this 1000, 100, 10, 1 is your right, which can be understood as your proportion.

So how did this 1000, 100, 10, 1 come from?

1000= 10 to the third power.

100= 10 quadratic

10= 10/power.

1= 10 to the 0 th power

In the m-th power of n, n is the number of digits of a system (10 in decimal) and m is a number (the lowest digit is 0).

This extends to binary.

1 1 1 1

In this number,

The highest order of 1 = the third power of 8 of1* 2.

Secondly, 1= 1*2 squared 4.

Or 1= 1*2 1 to the second power.

Finally 1= 1*2 to the power of 0.

The weight of each bit in the binary system from low to high is 1, 2, 4, 8, 16, 32, 64. ...

1 1 1 1=8+4+2+ 1= 15