# Unsigned: Integer -> Binary: 4 294 966 552 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 4 294 966 552(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;
• 4 294 966 552 ÷ 2 = 2 147 483 276 + 0;
• 2 147 483 276 ÷ 2 = 1 073 741 638 + 0;
• 1 073 741 638 ÷ 2 = 536 870 819 + 0;
• 536 870 819 ÷ 2 = 268 435 409 + 1;
• 268 435 409 ÷ 2 = 134 217 704 + 1;
• 134 217 704 ÷ 2 = 67 108 852 + 0;
• 67 108 852 ÷ 2 = 33 554 426 + 0;
• 33 554 426 ÷ 2 = 16 777 213 + 0;
• 16 777 213 ÷ 2 = 8 388 606 + 1;
• 8 388 606 ÷ 2 = 4 194 303 + 0;
• 4 194 303 ÷ 2 = 2 097 151 + 1;
• 2 097 151 ÷ 2 = 1 048 575 + 1;
• 1 048 575 ÷ 2 = 524 287 + 1;
• 524 287 ÷ 2 = 262 143 + 1;
• 262 143 ÷ 2 = 131 071 + 1;
• 131 071 ÷ 2 = 65 535 + 1;
• 65 535 ÷ 2 = 32 767 + 1;
• 32 767 ÷ 2 = 16 383 + 1;
• 16 383 ÷ 2 = 8 191 + 1;
• 8 191 ÷ 2 = 4 095 + 1;
• 4 095 ÷ 2 = 2 047 + 1;
• 2 047 ÷ 2 = 1 023 + 1;
• 1 023 ÷ 2 = 511 + 1;
• 511 ÷ 2 = 255 + 1;
• 255 ÷ 2 = 127 + 1;
• 127 ÷ 2 = 63 + 1;
• 63 ÷ 2 = 31 + 1;
• 31 ÷ 2 = 15 + 1;
• 15 ÷ 2 = 7 + 1;
• 7 ÷ 2 = 3 + 1;
• 3 ÷ 2 = 1 + 1;
• 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)