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41 to base 6 = (4x6)+(1) = 24+1 = 25 in decimal
23 to base 6 = (2x6)+(3) = 12+3 = 15 in decimal
Multiply 25x15 = 375 in decimal
Now convert 375 to base 6 as follows
1) Divide 375 by 6, Quotient = 62, Remainder 3 = 3
2) Divide 62 by 6, Quotient = 10, Remainder = 2
3) Divide 10 by 6, Quotient = 1, Remainder = 4
Hence the product in base six is 1423
Verification:
1423 in base 6 =
[1x6-raised to 3]+[4x6-raised to 2]+[2x6]+[3] =
1x216+4x36+2x6+3 = 216+144+12+3 = 375
You can also do straight base 6 multiplication
0023
0041
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0023
1400
------
1423
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or
0041
0023
------
0203
1220
------
1423
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Wiki User
∙ 10y ago
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