binary to decimal of 3568?

Question

binary to decimal

Answer 1

3568 is decimal, so it needs to be converted to binary by continually dividing by 2:

3568

1784r0

892r0

446r0

223r0

111r1

55r1

27r1

13r1

6r1

3r0

1r1

Now we start at the last division, writing down the quotient then all the remainders up to the start:

110111110000

Reverse the process to convert back to decimal, doubling and adding on the next digit:

2*1+1=3; 2*3=6; 2*6+1=13: 2*13+1=27; 2*27+1=55; 2*55+1=111; 2*111+1=223:

2*223=446; 2*446=892; 2*892=1784; 2*1784=3568.