If 'XYZ' in base-4 equals 27 in decimal, what is the value of 'X'?

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If 'XYZ' in base-4 equals 27 in decimal, what is the value of 'X'?
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Questions & Step-by-step Solutions

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Q: If 'XYZ' in base-4 equals 27 in decimal, what is the value of 'X'?
Solution: In base-4, 'XYZ' = 4^2*X + 4^1*Y + 4^0*Z = 27. The only valid combination is X=3, Y=3, Z=3.
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