# Unsigned: Integer -> Binary: 1 125 710 907 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 1 125 710 907(10) converted and written as an unsigned binary (base 2) = ?

### 1. Divide the number repeatedly by 2:

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

• division = quotient + remainder;
• 1 125 710 907 ÷ 2 = 562 855 453 + 1;
• 562 855 453 ÷ 2 = 281 427 726 + 1;
• 281 427 726 ÷ 2 = 140 713 863 + 0;
• 140 713 863 ÷ 2 = 70 356 931 + 1;
• 70 356 931 ÷ 2 = 35 178 465 + 1;
• 35 178 465 ÷ 2 = 17 589 232 + 1;
• 17 589 232 ÷ 2 = 8 794 616 + 0;
• 8 794 616 ÷ 2 = 4 397 308 + 0;
• 4 397 308 ÷ 2 = 2 198 654 + 0;
• 2 198 654 ÷ 2 = 1 099 327 + 0;
• 1 099 327 ÷ 2 = 549 663 + 1;
• 549 663 ÷ 2 = 274 831 + 1;
• 274 831 ÷ 2 = 137 415 + 1;
• 137 415 ÷ 2 = 68 707 + 1;
• 68 707 ÷ 2 = 34 353 + 1;
• 34 353 ÷ 2 = 17 176 + 1;
• 17 176 ÷ 2 = 8 588 + 0;
• 8 588 ÷ 2 = 4 294 + 0;
• 4 294 ÷ 2 = 2 147 + 0;
• 2 147 ÷ 2 = 1 073 + 1;
• 1 073 ÷ 2 = 536 + 1;
• 536 ÷ 2 = 268 + 0;
• 268 ÷ 2 = 134 + 0;
• 134 ÷ 2 = 67 + 0;
• 67 ÷ 2 = 33 + 1;
• 33 ÷ 2 = 16 + 1;
• 16 ÷ 2 = 8 + 0;
• 8 ÷ 2 = 4 + 0;
• 4 ÷ 2 = 2 + 0;
• 2 ÷ 2 = 1 + 0;
• 1 ÷ 2 = 0 + 1;

## 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)