Unsigned: Integer ↗ Binary: 1 010 110 001 000 088 Convert the Positive Integer (Whole Number) From Base Ten (10) To Base Two (2), Conversion and Writing of Decimal System Number as Unsigned Binary Code

Unsigned (positive) integer number 1 010 110 001 000 088(10)
converted and written as an unsigned binary (base 2) = ?

1. Divide the number repeatedly by 2:

Keep track of each remainder.

We stop when we get a quotient that is equal to zero.

  • division = quotient + remainder;
  • 1 010 110 001 000 088 ÷ 2 = 505 055 000 500 044 + 0;
  • 505 055 000 500 044 ÷ 2 = 252 527 500 250 022 + 0;
  • 252 527 500 250 022 ÷ 2 = 126 263 750 125 011 + 0;
  • 126 263 750 125 011 ÷ 2 = 63 131 875 062 505 + 1;
  • 63 131 875 062 505 ÷ 2 = 31 565 937 531 252 + 1;
  • 31 565 937 531 252 ÷ 2 = 15 782 968 765 626 + 0;
  • 15 782 968 765 626 ÷ 2 = 7 891 484 382 813 + 0;
  • 7 891 484 382 813 ÷ 2 = 3 945 742 191 406 + 1;
  • 3 945 742 191 406 ÷ 2 = 1 972 871 095 703 + 0;
  • 1 972 871 095 703 ÷ 2 = 986 435 547 851 + 1;
  • 986 435 547 851 ÷ 2 = 493 217 773 925 + 1;
  • 493 217 773 925 ÷ 2 = 246 608 886 962 + 1;
  • 246 608 886 962 ÷ 2 = 123 304 443 481 + 0;
  • 123 304 443 481 ÷ 2 = 61 652 221 740 + 1;
  • 61 652 221 740 ÷ 2 = 30 826 110 870 + 0;
  • 30 826 110 870 ÷ 2 = 15 413 055 435 + 0;
  • 15 413 055 435 ÷ 2 = 7 706 527 717 + 1;
  • 7 706 527 717 ÷ 2 = 3 853 263 858 + 1;
  • 3 853 263 858 ÷ 2 = 1 926 631 929 + 0;
  • 1 926 631 929 ÷ 2 = 963 315 964 + 1;
  • 963 315 964 ÷ 2 = 481 657 982 + 0;
  • 481 657 982 ÷ 2 = 240 828 991 + 0;
  • 240 828 991 ÷ 2 = 120 414 495 + 1;
  • 120 414 495 ÷ 2 = 60 207 247 + 1;
  • 60 207 247 ÷ 2 = 30 103 623 + 1;
  • 30 103 623 ÷ 2 = 15 051 811 + 1;
  • 15 051 811 ÷ 2 = 7 525 905 + 1;
  • 7 525 905 ÷ 2 = 3 762 952 + 1;
  • 3 762 952 ÷ 2 = 1 881 476 + 0;
  • 1 881 476 ÷ 2 = 940 738 + 0;
  • 940 738 ÷ 2 = 470 369 + 0;
  • 470 369 ÷ 2 = 235 184 + 1;
  • 235 184 ÷ 2 = 117 592 + 0;
  • 117 592 ÷ 2 = 58 796 + 0;
  • 58 796 ÷ 2 = 29 398 + 0;
  • 29 398 ÷ 2 = 14 699 + 0;
  • 14 699 ÷ 2 = 7 349 + 1;
  • 7 349 ÷ 2 = 3 674 + 1;
  • 3 674 ÷ 2 = 1 837 + 0;
  • 1 837 ÷ 2 = 918 + 1;
  • 918 ÷ 2 = 459 + 0;
  • 459 ÷ 2 = 229 + 1;
  • 229 ÷ 2 = 114 + 1;
  • 114 ÷ 2 = 57 + 0;
  • 57 ÷ 2 = 28 + 1;
  • 28 ÷ 2 = 14 + 0;
  • 14 ÷ 2 = 7 + 0;
  • 7 ÷ 2 = 3 + 1;
  • 3 ÷ 2 = 1 + 1;
  • 1 ÷ 2 = 0 + 1;

2. Construct the base 2 representation of the positive number:

Take all the remainders starting from the bottom of the list constructed above.


Number 1 010 110 001 000 088(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

1 010 110 001 000 088(10) = 11 1001 0110 1011 0000 1000 1111 1100 1011 0010 1110 1001 1000(2)

Spaces were used to group digits: for binary, by 4, for decimal, by 3.

More operations on unsigned integer numbers:

» Unsigned (positive) integer number 1 010 110 001 000 087 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 1 010 110 001 000 089 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

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How to convert unsigned integer numbers (positive) from decimal system (base 10) to binary = simply convert from base ten to base two

Follow the steps below to convert a base ten unsigned integer number to base two:

  • 1. Divide repeatedly by 2 the positive integer number that has to be converted to binary, keeping track of each remainder, until we get a QUOTIENT that is equal to ZERO.
  • 2. Construct the base 2 representation of the positive integer number, by taking all the remainders starting from the bottom of the list constructed above. Thus, the last remainder of the divisions becomes the first symbol (the leftmost) of the base two number, while the first remainder becomes the last symbol (the rightmost).

Example: convert the positive integer number 55 from decimal system (base ten) to binary code (base two):

  • 1. Divide repeatedly 55 by 2, keeping track of each remainder, until we get a quotient that is equal to zero:
    • division = quotient + remainder;
    • 55 ÷ 2 = 27 + 1;
    • 27 ÷ 2 = 13 + 1;
    • 13 ÷ 2 = 6 + 1;
    • 6 ÷ 2 = 3 + 0;
    • 3 ÷ 2 = 1 + 1;
    • 1 ÷ 2 = 0 + 1;
  • 2. Construct the base 2 representation of the positive integer number, by taking all the remainders starting from the bottom of the list constructed above:
    55(10) = 11 0111(2)
  • Number 5510, positive integer (no sign), converted from decimal system (base 10) to unsigned binary (base 2) = 11 0111(2)