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)

100 0100 = 68May 28 23:27 UTC (GMT)
1110 0001 = 225May 28 23:25 UTC (GMT)
1001 1100 = 156May 28 23:23 UTC (GMT)
1100 1101 = 205May 28 23:20 UTC (GMT)
1100 1101 = 205May 28 23:17 UTC (GMT)
1001 1100 = 156May 28 23:16 UTC (GMT)
11 0011 = 51May 28 23:15 UTC (GMT)
111 1011 = 123May 28 23:14 UTC (GMT)
10 0010 = 34May 28 23:13 UTC (GMT)
1111 1000 = 248May 28 23:04 UTC (GMT)
1011 0000 = 176May 28 23:02 UTC (GMT)
1100 1101 = 205May 28 22:58 UTC (GMT)
11 0100 1000 = 840May 28 22:53 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