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Vsevolod [243]
3 years ago
5

Convert 3BA.25 (base 14) to base 6 ? Show all arithmetic in decimal

Computers and Technology
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

(3252.1001)_{6}

Explanation:

  • To convert the base 14 to base 10 :

(3BA.25)_{14}= 3*14^{2} + B*14^{2} + A*14^{0} + 2*14^{-1} + 5*14^{-1}

Then,    = 588+154+10+\frac{2}{14^{1}} + \frac{5}{14^{2}}

Then,    =752 + 0.168

            =(752.168)_{10}

  • To convert base-10, [text](752.168)_{10}[/text] to base 6.

     6 | 752 | 2

     6 | 125 | 2

     6 | 20  | 2

     6 | 3    | 3

        | 0    |

Then, the conversion part 752 which has base-6 = 3252

  • Then, the conversation of the decimal part .168 to base 6

0.168*6=1.008 and the integer part is 1.

0.008*6=0.048 and the integer part is 0.

0.048*6=0.288 and the integer part is 0.

0.288*6=1.728 and the integer part is 1.

Then, the conversion of decimal part is (0.1001)_{6}

Finally, the answer is  (3252.1001)_{6}

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