Question

Please turn 234base six to binary

Answer 1

To convert 234 from base 6 to binary, we can convert it to decimal first and then convert it to binary.

To convert 234 from base 6 to decimal:
(2 * 6^2) + (3 * 6^1) + (4 * 6^0)
= (2 * 36) + (3 * 6) + (4 * 1)
= 72 + 18 + 4
= 94

Now, let's convert 94 from decimal to binary:
94 divided by 2 is 47 with a remainder of 0.
47 divided by 2 is 23 with a remainder of 1.
23 divided by 2 is 11 with a remainder of 1.
11 divided by 2 is 5 with a remainder of 1.
5 divided by 2 is 2 with a remainder of 1.
2 divided by 2 is 1 with a remainder of 0.
1 divided by 2 is 0 with a remainder of 1.

Reading the remainders from bottom to top, the binary representation of 94 is 1011110.

Therefore, 234 base 6 is equal to 1011110 in binary.