# Base ten decimal system unsigned (positive) integer number 2 007 converted to unsigned binary (base two)

## How to convert an unsigned (positive) integer in decimal system (in base 10): 2 007(10) to an unsigned binary (base 2)

### 1. Divide the number repeatedly by 2, keeping track of each remainder, until we get a quotient that is equal to zero:

• division = quotient + remainder;
• 2 007 ÷ 2 = 1 003 + 1;
• 1 003 ÷ 2 = 501 + 1;
• 501 ÷ 2 = 250 + 1;
• 250 ÷ 2 = 125 + 0;
• 125 ÷ 2 = 62 + 1;
• 62 ÷ 2 = 31 + 0;
• 31 ÷ 2 = 15 + 1;
• 15 ÷ 2 = 7 + 1;
• 7 ÷ 2 = 3 + 1;
• 3 ÷ 2 = 1 + 1;
• 1 ÷ 2 = 0 + 1;

## Latest positive integer numbers (unsigned) converted from decimal (base ten) to unsigned binary (base two)

 2 007 = 111 1101 0111 Jul 19 17:06 UTC (GMT) 32 = 10 0000 Jul 19 17:06 UTC (GMT) 68 577 = 1 0000 1011 1110 0001 Jul 19 17:04 UTC (GMT) 9 999 999 999 = 10 0101 0100 0000 1011 1110 0011 1111 1111 Jul 19 17:04 UTC (GMT) 861 997 = 1101 0010 0111 0010 1101 Jul 19 17:04 UTC (GMT) 142 = 1000 1110 Jul 19 17:03 UTC (GMT) 111 000 = 1 1011 0001 1001 1000 Jul 19 17:02 UTC (GMT) 4 584 045 232 233 = 100 0010 1011 0100 1110 0110 0011 0100 0000 0110 1001 Jul 19 17:02 UTC (GMT) 1 921 689 720 = 111 0010 1000 1010 1010 1000 0111 1000 Jul 19 17:01 UTC (GMT) 6 = 110 Jul 19 16:55 UTC (GMT) 43 221 = 1010 1000 1101 0101 Jul 19 16:55 UTC (GMT) 410 = 1 1001 1010 Jul 19 16:55 UTC (GMT) 300 = 1 0010 1100 Jul 19 16:53 UTC (GMT) All decimal positive integers converted to unsigned binary (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)