# Convert base two (2) number 1 0000 0010 0001 0111 to base ten (10): the unsigned binary number converted to a positive integer written in the decimal system

• 216

1
• 215

0
• 214

0
• 213

0
• 212

0
• 211

0
• 210

0
• 29

1
• 28

0
• 27

0
• 26

0
• 25

0
• 24

1
• 23

0
• 22

1
• 21

1
• 20

1

## 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: