Subjects number systems

Base 4 Conversion

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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 $28$.