# Unsigned: Integer -> Binary: 1 402 598 539 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 1 402 598 539(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;
• 1 402 598 539 ÷ 2 = 701 299 269 + 1;
• 701 299 269 ÷ 2 = 350 649 634 + 1;
• 350 649 634 ÷ 2 = 175 324 817 + 0;
• 175 324 817 ÷ 2 = 87 662 408 + 1;
• 87 662 408 ÷ 2 = 43 831 204 + 0;
• 43 831 204 ÷ 2 = 21 915 602 + 0;
• 21 915 602 ÷ 2 = 10 957 801 + 0;
• 10 957 801 ÷ 2 = 5 478 900 + 1;
• 5 478 900 ÷ 2 = 2 739 450 + 0;
• 2 739 450 ÷ 2 = 1 369 725 + 0;
• 1 369 725 ÷ 2 = 684 862 + 1;
• 684 862 ÷ 2 = 342 431 + 0;
• 342 431 ÷ 2 = 171 215 + 1;
• 171 215 ÷ 2 = 85 607 + 1;
• 85 607 ÷ 2 = 42 803 + 1;
• 42 803 ÷ 2 = 21 401 + 1;
• 21 401 ÷ 2 = 10 700 + 1;
• 10 700 ÷ 2 = 5 350 + 0;
• 5 350 ÷ 2 = 2 675 + 0;
• 2 675 ÷ 2 = 1 337 + 1;
• 1 337 ÷ 2 = 668 + 1;
• 668 ÷ 2 = 334 + 0;
• 334 ÷ 2 = 167 + 0;
• 167 ÷ 2 = 83 + 1;
• 83 ÷ 2 = 41 + 1;
• 41 ÷ 2 = 20 + 1;
• 20 ÷ 2 = 10 + 0;
• 10 ÷ 2 = 5 + 0;
• 5 ÷ 2 = 2 + 1;
• 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)