Unsigned: Integer ↗ Binary: 48 122 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 48 122(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;
  • 48 122 ÷ 2 = 24 061 + 0;
  • 24 061 ÷ 2 = 12 030 + 1;
  • 12 030 ÷ 2 = 6 015 + 0;
  • 6 015 ÷ 2 = 3 007 + 1;
  • 3 007 ÷ 2 = 1 503 + 1;
  • 1 503 ÷ 2 = 751 + 1;
  • 751 ÷ 2 = 375 + 1;
  • 375 ÷ 2 = 187 + 1;
  • 187 ÷ 2 = 93 + 1;
  • 93 ÷ 2 = 46 + 1;
  • 46 ÷ 2 = 23 + 0;
  • 23 ÷ 2 = 11 + 1;
  • 11 ÷ 2 = 5 + 1;
  • 5 ÷ 2 = 2 + 1;
  • 2 ÷ 2 = 1 + 0;
  • 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 48 122(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

48 122(10) = 1011 1011 1111 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 48 121 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 48 123 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

The latest positive (unsigned) integer numbers converted from decimal system (written in base ten) to unsigned binary (written in base two)

Convert and write the decimal system (written in base ten) positive integer number 31 122 007 (with no sign) as a base two unsigned binary number Apr 20 08:00 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 145 125 (with no sign) as a base two unsigned binary number Apr 20 08:00 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 236 (with no sign) as a base two unsigned binary number Apr 20 08:00 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 5 001 121 296 (with no sign) as a base two unsigned binary number Apr 20 08:00 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 131 170 (with no sign) as a base two unsigned binary number Apr 20 08:00 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 434 154 200 (with no sign) as a base two unsigned binary number Apr 20 08:00 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 85 665 (with no sign) as a base two unsigned binary number Apr 20 07:59 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 4 294 951 017 (with no sign) as a base two unsigned binary number Apr 20 07:59 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 106 475 (with no sign) as a base two unsigned binary number Apr 20 07:58 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 25 (with no sign) as a base two unsigned binary number Apr 20 07:58 UTC (GMT)
All the decimal system (written in base ten) positive integers (with no sign) converted to unsigned binary (in base 2)

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)