Unsigned: Integer ↗ Binary: 1 001 000 110 101 018 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 1 001 000 110 101 018(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;
  • 1 001 000 110 101 018 ÷ 2 = 500 500 055 050 509 + 0;
  • 500 500 055 050 509 ÷ 2 = 250 250 027 525 254 + 1;
  • 250 250 027 525 254 ÷ 2 = 125 125 013 762 627 + 0;
  • 125 125 013 762 627 ÷ 2 = 62 562 506 881 313 + 1;
  • 62 562 506 881 313 ÷ 2 = 31 281 253 440 656 + 1;
  • 31 281 253 440 656 ÷ 2 = 15 640 626 720 328 + 0;
  • 15 640 626 720 328 ÷ 2 = 7 820 313 360 164 + 0;
  • 7 820 313 360 164 ÷ 2 = 3 910 156 680 082 + 0;
  • 3 910 156 680 082 ÷ 2 = 1 955 078 340 041 + 0;
  • 1 955 078 340 041 ÷ 2 = 977 539 170 020 + 1;
  • 977 539 170 020 ÷ 2 = 488 769 585 010 + 0;
  • 488 769 585 010 ÷ 2 = 244 384 792 505 + 0;
  • 244 384 792 505 ÷ 2 = 122 192 396 252 + 1;
  • 122 192 396 252 ÷ 2 = 61 096 198 126 + 0;
  • 61 096 198 126 ÷ 2 = 30 548 099 063 + 0;
  • 30 548 099 063 ÷ 2 = 15 274 049 531 + 1;
  • 15 274 049 531 ÷ 2 = 7 637 024 765 + 1;
  • 7 637 024 765 ÷ 2 = 3 818 512 382 + 1;
  • 3 818 512 382 ÷ 2 = 1 909 256 191 + 0;
  • 1 909 256 191 ÷ 2 = 954 628 095 + 1;
  • 954 628 095 ÷ 2 = 477 314 047 + 1;
  • 477 314 047 ÷ 2 = 238 657 023 + 1;
  • 238 657 023 ÷ 2 = 119 328 511 + 1;
  • 119 328 511 ÷ 2 = 59 664 255 + 1;
  • 59 664 255 ÷ 2 = 29 832 127 + 1;
  • 29 832 127 ÷ 2 = 14 916 063 + 1;
  • 14 916 063 ÷ 2 = 7 458 031 + 1;
  • 7 458 031 ÷ 2 = 3 729 015 + 1;
  • 3 729 015 ÷ 2 = 1 864 507 + 1;
  • 1 864 507 ÷ 2 = 932 253 + 1;
  • 932 253 ÷ 2 = 466 126 + 1;
  • 466 126 ÷ 2 = 233 063 + 0;
  • 233 063 ÷ 2 = 116 531 + 1;
  • 116 531 ÷ 2 = 58 265 + 1;
  • 58 265 ÷ 2 = 29 132 + 1;
  • 29 132 ÷ 2 = 14 566 + 0;
  • 14 566 ÷ 2 = 7 283 + 0;
  • 7 283 ÷ 2 = 3 641 + 1;
  • 3 641 ÷ 2 = 1 820 + 1;
  • 1 820 ÷ 2 = 910 + 0;
  • 910 ÷ 2 = 455 + 0;
  • 455 ÷ 2 = 227 + 1;
  • 227 ÷ 2 = 113 + 1;
  • 113 ÷ 2 = 56 + 1;
  • 56 ÷ 2 = 28 + 0;
  • 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 1 001 000 110 101 018(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

1 001 000 110 101 018(10) = 11 1000 1110 0110 0111 0111 1111 1111 1011 1001 0010 0001 1010(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 1 001 000 110 101 017 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 1 001 000 110 101 019 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)