# You've asked to convert 1474 to base 2 (binary notation)

We iteratively divide by 2. Depending on whether the division has a remainder we add a 1 (remainder) or a 0 (no remainder) to the left of the binary number we generate.

1474
1474:2=737, no remainder.
So we add a 0 to the left of our binary number: 0

737:2=368, and the remainder is 1.
So we add a 1 to the left of our binary number: 10

368:2=184, no remainder.
So we add a 0 to the left of our binary number: 010

184:2=92, no remainder.
So we add a 0 to the left of our binary number: 0010

92:2=46, no remainder.
So we add a 0 to the left of our binary number: 00010

46:2=23, no remainder.
So we add a 0 to the left of our binary number: 000010

23:2=11, and the remainder is 1.
So we add a 1 to the left of our binary number: 1000010

11:2=5, and the remainder is 1.
So we add a 1 to the left of our binary number: 11000010

5:2=2, and the remainder is 1.
So we add a 1 to the left of our binary number: 111000010

2:2=1, no remainder.
So we add a 0 to the left of our binary number: 0111000010

1:2=0, and the remainder is 1.
So we add a 1 to the left of our binary number: 10111000010

The remaining fraction is zero, so we stop dividing.

1474 (base10) -> 10111000010 (base2)

Enter new base 10 number:

Check here why 10111000010 is a base 2 representation of 1474