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

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

How to convert an unsigned binary number (base two) to a positive integer in base ten:

1) Multiply each bit of the binary number by its corresponding power of 2 that its place value represents.

2) Add all the terms up to get the integer number in base ten.

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

1101 0111 1110 0100 1100 0101 1000 1000 = 3,622,094,216 Jul 19 12:24 UTC (GMT)
110 1101 1100 0000 1000 0010 0000 1101 1011 1000 1110 1010 = 120,673,583,085,802 Jul 19 12:19 UTC (GMT)
1110 1111 1001 1000 = 61,336 Jul 19 12:19 UTC (GMT)
100 1001 1110 0111 1001 1110 0000 0011 = 1,239,916,035 Jul 19 12:16 UTC (GMT)
1 1110 = 30 Jul 19 12:15 UTC (GMT)
1010 1000 0010 0101 = 43,045 Jul 19 12:13 UTC (GMT)
1000 0010 1000 0000 0000 0000 0000 0000 = 2,189,426,688 Jul 19 12:12 UTC (GMT)
101 0101 1110 1010 1011 = 351,915 Jul 19 12:08 UTC (GMT)
1000 0000 = 128 Jul 19 12:08 UTC (GMT)
1111 1001 = 249 Jul 19 12:06 UTC (GMT)
1101 0001 1111 0011 = 53,747 Jul 19 12:05 UTC (GMT)
1110 1110 = 238 Jul 19 12:04 UTC (GMT)
1000 1001 0011 1000 = 35,128 Jul 19 12:00 UTC (GMT)
All the converted unsigned binary numbers, from base two to base ten

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:

    101 0011(2) =

    (1 × 26 + 0 × 25 + 1 × 24 + 0 × 23 + 0 × 22 + 1 × 21 + 1 × 20)(10) =

    (64 + 0 + 16 + 0 + 0 + 2 + 1)(10) =

    (64 + 16 + 2 + 1)(10) =

    83(10)

  • Binary unsigned number (base 2), 101 0011(2) = 83(10), unsigned positive integer in base 10