Question

Convert 121 base3 to binary

Answer 1

To convert 121 base 3 to binary, we need to convert it to base 10 first and then to binary.

To convert 121 base3 to base 10:
1*(3^2) + 2*(3^1) + 1*(3^0) = 9 + 6 + 1 = 16

Now, let's convert 16 base 10 to binary:
16 divided by 2 equals 8 with a remainder of 0
8 divided by 2 equals 4 with a remainder of 0
4 divided by 2 equals 2 with a remainder of 0
2 divided by 2 equals 1 with a remainder of 0
1 divided by 2 equals 0 with a remainder of 1

Reading the remainders from bottom to top, we get 10000 in binary.

Therefore, 121 base3 is equal to 10000 in binary.