Question

Convert 352 base 6 to base 4.​

Answer 1

The answer is 2030.

First, convert from base 6 to base 10.

• 3 × 6² + 5 × 6¹ + 2 × 6⁰
• 108 + 30 + 2
• 140

Now, convert from base 10 to base 4.

• 140 ÷ 4 = 35 ⇒ R = 0
• 35 ÷ 4 = 8 ⇒ R = 3
• 8 ÷ 4 = 2 ⇒ R = 0
• 2 ÷ 4 = 0 ⇒ R = 2

Connecting the digits, the answer is : 2030

Answer 2

(2030)4

Explanation:

Base 6 to decimal calculation:

(352)6 = (3 × 62) + (5 × 61) + (2 × 60) = (140)10

Decimal to base 4 calculation:

Divide by the base to get the digits from the remainders:

= (2030)4

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