# Base Two: Convert Unsigned Base Two Binary Numbers To Base Ten. Binary Code Written as Natural Numbers (Positive Integers, Without Sign), in Decimal System

## Convert unsigned binary numbers (base two) to positive integers in the decimal system (base ten)

How to convert an unsigned binary number (base two) to a positive integer in base ten: [1] Multiply each bit of the binary number by its corresponding power of 2 that its place value represents. [2] Add all the terms up to get the integer number in base ten.

## How to convert unsigned binary numbers from binary system to decimal? Simply convert from base two to base ten.

### To understand how to convert a number from base two to base ten, the easiest way is to do it through an example - convert the number from base two, 101 0011(2), to base ten:

• Write bellow the binary number in base two, and above each bit that makes up the binary number write the corresponding power of 2 (numeral base) that its place value represents, starting with zero, from the right of the number (rightmost bit), walking to the left of the number, increasing each corresponding power of 2 by exactly one unit each time we move to the left:
•  powers of 2: 6 5 4 3 2 1 0 digits: 1 0 1 0 0 1 1
• Build the representation of the positive number in base 10, by taking each digit of the binary number, multiplying it by the corresponding power of 2 and then adding all the terms up: