Learning to convert binary to decimal requires an understanding of positional notation. Positional notation or place-value notation is a method of representing or encoding numbers. Positional notation is distinguished from other notations. Positional notation means that a digit represents different values depending on the “position” the digit occupies in the sequence of numbers. You already know the most common numbering system, the decimal (base 10) notation system.
The first row identifies the number base or radix. The decimal notation system is based on 10, therefore the radix is 10.
Position in number
The 2nd row considers the position of the decimal number starting with, from right to left, 0 (1st position), 1 (2nd position), 2 (3rd position), 3 (4th position). These numbers also represent the exponential value that will be used to calculate the positional value (4th row).
The 3rd row calculates the positional value by taking the radix and raising it by the exponential value of its position. Note: n^0 is always = 1.
The first row identifies the number base or radix. Therefore the value listed, from left to right, represents units of thousands, hundreds, tens, and ones.
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