How do you convert 105 from decimal to binary?

Answer 1

The answer when you convert 105 into a binary number is 1101001

Answer 2

To convert from one base to another:

1) divide the number by the new base (in the original base) to get a [whole] quotient and remainder;

2) note the remainder;

3) replace the number by the quotient;

4) if the number is not zero repeat from step 1;

5) write the remainders out in reverse order to get the number in the new base;

Converting 105 base 10 to binary (base 2):

105 ÷ 2 = 52 r 1

52 ÷ 2 = 26 r 0

26 ÷ 2 = 13 r 0

13 ÷ 2 = 6 r 1

6 ÷ 2 = 3 r 0

3 ÷ 2 = 1 r 1

1 ÷ 2 = 0 r 1

→ 105 is 1101001 in binary.