SOLUTION: Change the numbers to base ten. Select the correct answer. 973 twelve 1,383 1,152 1,371 1,191

Question 614953: Change the numbers to base ten.
Select the correct answer.
973 twelve
1,383
1,152
1,371
1,191
Found 2 solutions by stanbon, ashipm01:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Change the numbers to base ten.
Select the correct answer.
973 twelve = 9*12^2 + 7*12 + 3 = 9*144 + 84 + 3 = 1383
==========================
Cheers,
Stan H.
=============================

1,383
1,152
1,371
1,191

Answer by ashipm01(26) (Show Source): You can put this solution on YOUR website!
The base 12 number 973 in base 10 is equal to .

Each digit, or whatever it is called in base 12 because digit is usually used to refer to base 10 (decimal) numbers, is equal to where v is the value, or magnitude, of the number at the nth digit from the right and B is the base, or radix, of the number system.

For example, in base 10, or decimal numbers, the number 742 means:
=
=
Which is 742 in base 10.

Now for a more interesting example, base 2, or binary, numbers consist of only the characters 0 and 1, but numbers are formed in exactly the same way as any other numeric base. For example:

10110 in base 2 is equal to:

=
=22 in base 10.

So your base 12 number is constructed in the same way:
973 base 12
=
= 1296+84+3
= 1383 in base 10.
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