Unsigned binary number (base two) 1 1011 converted to decimal system (base ten) positive integer

How to convert an unsigned binary (base 2):
1 1011(2)
to a positive integer (no sign) in decimal system (in base 10)

1. Map the unsigned binary number's digits versus the corresponding powers of 2 that their place value represent:

    • 24

      1
    • 23

      1
    • 22

      0
    • 21

      1
    • 20

      1

2. Multiply each bit by its corresponding power of 2 and add all the terms up:

1 1011(2) =


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


(16 + 8 + 0 + 2 + 1)(10) =


(16 + 8 + 2 + 1)(10) =


27(10)

Conclusion:

Number 1 1011(2) converted from unsigned binary (base 2) to positive integer (no sign) in decimal system (in base 10):


1 1011(2) = 27(10)

Spaces used to group numbers digits: for binary, by 4.

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)

1 1011 = 27 Jul 18 15:16 UTC (GMT)
111 0010 1111 0111 = 29,431 Jul 18 15:14 UTC (GMT)
100 1101 0010 = 1,234 Jul 18 15:14 UTC (GMT)
1100 1110 = 206 Jul 18 15:14 UTC (GMT)
1111 1100 = 252 Jul 18 15:10 UTC (GMT)
100 0101 0101 = 1,109 Jul 18 15:10 UTC (GMT)
11 0011 1001 = 825 Jul 18 15:05 UTC (GMT)
1000 0100 0010 0001 = 33,825 Jul 18 15:04 UTC (GMT)
1010 = 10 Jul 18 15:03 UTC (GMT)
10 0110 0100 = 612 Jul 18 15:03 UTC (GMT)
1000 0000 1000 0000 = 32,896 Jul 18 15:01 UTC (GMT)
1011 0100 = 180 Jul 18 15:00 UTC (GMT)
10 0001 0101 = 533 Jul 18 14:59 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