# Unsigned: Binary -> Integer: 1110 0101 0010 1010 0101 0010 0000 Convert Base Two (2) Number to Base Ten (10), The Unsigned Binary Converted to a Positive Integer, Written in the Decimal System

• 227

1
• 226

1
• 225

1
• 224

0
• 223

0
• 222

1
• 221

0
• 220

1
• 219

0
• 218

0
• 217

1
• 216

0
• 215

1
• 214

0
• 213

1
• 212

0
• 211

0
• 210

1
• 29

0
• 28

1
• 27

0
• 26

0
• 25

1
• 24

0
• 23

0
• 22

0
• 21

0
• 20

0

## 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: