Converter from unsigned binary (base two): converting to decimal system (base ten) unsigned (positive) integer numbers

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

Latest unsigned binary numbers converted to positive integers in decimal system (base ten)

1000 0000 0000 0011 = 32,771Mar 29 13:00 UTC (GMT)
1101 0010 = 210Mar 29 12:39 UTC (GMT)
111 1111 1111 0000 0111 1111 1111 1111 1111 1111 1111 1111 = 140,670,916,362,239Mar 29 12:39 UTC (GMT)
111 1111 1100 0000 = 32,704Mar 29 12:39 UTC (GMT)
1 1111 1100 0000 0000 = 130,048Mar 29 12:39 UTC (GMT)
1 1111 0001 = 497Mar 29 12:38 UTC (GMT)
111 0111 0110 = 1,910Mar 29 12:38 UTC (GMT)
11 1001 = 57Mar 29 12:38 UTC (GMT)
111 0000 0000 = 1,792Mar 29 12:38 UTC (GMT)
111 0000 = 112Mar 29 12:38 UTC (GMT)
11 1000 = 56Mar 29 12:38 UTC (GMT)
110 1010 = 106Mar 29 12:38 UTC (GMT)
10 1110 0111 = 743Mar 29 12:37 UTC (GMT)

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 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 powers of 2 (numeral base), starting with zero, from the right of the number (rightmost bit), walking to the left of the number, increasing each corresonding power of 2 with exactly one unit:
  • powers of 2 6 5 4 3 2 1 0
    number's 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 summing up all the terms:
    101 0011(2) =
    1 * 26 + 0 * 25 + 1 * 24 + 0 * 23 + 0 * 22 + 1 * 21 + 1 * 20 =
    = 64 + 0 + 16 + 0 + 0 + 2 + 1 =
    = 64 + 16 + 2 + 1 =
    = 83(10)
  • Binary unsigned number (base 2), 101 0011(2) = 83(10), unsigned positive integer in base 10