Decimal

OK, let's look at the decimal system.
The so-called decimal system is a counting system with 10 as the base, and its counting rule is to increase by one every ten
.
Figure 1.3.1 shows the relationship between the position number and the position weight in the decimal system.

Position No. 3 2 1 0 -1 -2 -3 Decimal Numbers 3 4 5 6 7 8 9 Position 10 3 10 2 10 1 10 0 10 -1 10 -2 10 -3

Figure 1.3.1 Bit weight diagram of a decimal number

From the figure we can see that in the integer part to the left of the decimal point, the bit weight corresponding to the lowest bit with position number 0 is 10 to the power of 0, and when the position number is 3, the bit weight is 10 to the power of 3.
In fact, we can draw the conclusion that when the position number is n, the corresponding bit weight is 10 to the power of n; similarly, the situation on the right side of the decimal point is exactly the inverse of the left side, with an additional negative sign.

Example 1.3.1 Try to use the position weight to represent the decimal number 4567.
Solution: Multiply the digit in each position by the position weight and add them together to get a decimal number.

In general, any decimal number can be expressed as: