# Unsigned: Binary ↘ Integer: 100 1001 0110 1111 0101 1110 1111 0000 Convert Base Two (2) Number to Base Ten (10), The Unsigned Binary Converted to a Positive Integer, Written in the Decimal System

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## The number 100 1001 0110 1111 0101 1110 1111 0000(2) converted from an unsigned binary (in base 2) and written as a positive integer (with no sign) in decimal system (in base ten): 100 1001 0110 1111 0101 1110 1111 0000(2) = 1 232 035 568(10)

Spaces were used to group digits: for binary, by 4, for decimal, by 3.

## 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: