Convert 241in base 5 to base 8
Chemistry
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Step-by-step solution
3 stepsConvert the base 5 number to base 10.
The number 241 in base 5 can be written in base 10 as:
(2 × 5²) + (4 × 5¹) + (1 × 5⁰)
= (2 × 25) + (4 × 5) + (1 × 1)
= 50 + 20 + 1
= 71₁₀Convert the base 10 number to base 8.
To convert 71₁₀ to base 8, we use division with remainder:
71 ÷ 8 = 8 remainder 7
8 ÷ 8 = 1 remainder 0
1 ÷ 8 = 0 remainder 1Read the remainders from bottom to top.
The remainders are 1, 0, and 7.
Therefore, 241 in base 5 is 107 in base 8.
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