Base ten decimal system unsigned (positive) integer number 379 converted to unsigned binary (base two)

How to convert an unsigned (positive) integer in decimal system (in base 10):
379(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;
  • 379 ÷ 2 = 189 + 1;
  • 189 ÷ 2 = 94 + 1;
  • 94 ÷ 2 = 47 + 0;
  • 47 ÷ 2 = 23 + 1;
  • 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, by taking all the remainders starting from the bottom of the list constructed above:

379(10) = 1 0111 1011(2)

Conclusion:

Number 379(10), a positive integer (no sign), converted from decimal system (base 10) to an unsigned binary (base 2):


1 0111 1011(2)

Spaces used to group numbers digits: for binary, by 4.

Convert positive integer numbers (unsigned) from the decimal system (base ten) to binary (base two)

How to convert a base ten positive integer number to base two:

1) Divide the number repeatedly by 2, keeping track of each remainder, until we get a quotient that is ZERO;

2) Construct the base 2 representation by taking all the previously calculated remainders starting from the last remainder up to the first one, in that order.

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

379 = 1 0111 1011 Mar 25 08:11 UTC (GMT)
287 = 1 0001 1111 Mar 25 08:11 UTC (GMT)
169 = 1010 1001 Mar 25 08:10 UTC (GMT)
155 = 1001 1011 Mar 25 08:06 UTC (GMT)
1 111 111 101 011 111 = 11 1111 0010 1000 1100 1011 0110 0111 1011 0101 0100 1010 0111 Mar 25 08:06 UTC (GMT)
141 = 1000 1101 Mar 25 08:02 UTC (GMT)
29 999 = 111 0101 0010 1111 Mar 25 08:01 UTC (GMT)
28 920 = 111 0000 1111 1000 Mar 25 08:00 UTC (GMT)
1 211 = 100 1011 1011 Mar 25 07:57 UTC (GMT)
4 536 = 1 0001 1011 1000 Mar 25 07:56 UTC (GMT)
66 = 100 0010 Mar 25 07:55 UTC (GMT)
14 = 1110 Mar 25 07:55 UTC (GMT)
254 = 1111 1110 Mar 25 07:55 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)
  • Number 5510, positive integer (no sign), converted from decimal system (base 10) to unsigned binary (base 2) = 11 0111(2)