Base 4 Conversion
1. The problem is to convert the number 64 from base 4 to base 10 (decimal).
2. Each digit in base 4 represents powers of 4, starting from the right with power 0.
3. Write the number 64 in base 4 as $6 \times 4^1 + 4 \times 4^0$.
4. Calculate powers of 4: $4^1 = 4$ and $4^0 = 1$.
5. Substitute these into the expression: $6 \times 4 + 4 \times 1 = 24 + 4$.
6. Sum the values: $24 + 4 = 28$.
7. Final answer: The decimal equivalent of the base 4 number 64 is $28$.