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)

11 1001 0110 = 918Jul 24 16:07 UTC (GMT)
101 1001 0110 1101 = 22,893Jul 24 15:56 UTC (GMT)
10 0101 = 37Jul 24 15:11 UTC (GMT)
10 1010 0101 = 677Jul 24 15:05 UTC (GMT)
110 1101 = 109Jul 24 15:03 UTC (GMT)
11 0011 = 51Jul 24 15:03 UTC (GMT)
1001 1110 = 158Jul 24 15:03 UTC (GMT)
1001 0011 = 147Jul 24 15:03 UTC (GMT)
11 1111 = 63Jul 24 15:00 UTC (GMT)
1 1111 = 31Jul 24 15:00 UTC (GMT)
1111 1111 1101 1111 = 65,503Jul 24 15:00 UTC (GMT)
1 1001 = 25Jul 24 14:58 UTC (GMT)
100 0110 = 70Jul 24 14:58 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