Question$33_{5}$ to base 2

Studdy Solution
Convert the base 10 number $18_{10}$ to base 2.
Divide the number by 2 and record the remainders: $$18 \div 2 = 9 \quad \text{remainder} = 0$$ $$9 \div 2 = 4 \quad \text{remainder} = 1$$ $$4 \div 2 = 2 \quad \text{remainder} = 0$$ $$2 \div 2 = 1 \quad \text{remainder} = 0$$ $$1 \div 2 = 0 \quad \text{remainder} = 1$$
Read the remainders from bottom to top to get the base 2 equivalent: $$10010_2$$
The base 2 equivalent of $33_5$ is:
$\boxed{10010_2}$