Let's think about the relation between the binary number and the decimal number.
First, let's consider the decimal number that we use every day.
For example, if the number is 1359 (Decimal), add 1 and it will be 1360.
In this way, the decimal number, when it exceeds 9, it becomes 10, and a carry occurs.
1359 can be disassembled as shown in the formulate in the figure on the right.
The 10³, 10², 10¹, and 10º used here are called “weight”.
Now, let's look at case of the binary number.
Binary is a number consisting of 0 and 1, and when it becomes 2, a carry occurs.
For example, let's add the weight to 1110 (Binary).
In case of the binary number, the weight becomes such as 2³, 2², 2¹, 2º.
When you calculate this formula, it can convert to the decimal number.
In this case, 8+4+2+0 becomes 14.
In this way, the decimal number goes up to 1, 10, 100, and 1000 digits, but the binary number goes up to 1, 2, 4, and 8 digits.