In the familiar decimal number system the base is 10 In another number system using base 4 the counting proceeds as 1, 2, 3, 10, 11, 12, 13, 20, 21, ,,,,, The twentieth number in this system will be

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320

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210

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110

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Solution

The correct option is D 110
In base 4 system, the digits can be 0, 1, 2, 3.
so the counting proceeds as 1, 2, 3, 10, 11, 12, 13, 20, 21, 22, 23, 30, 31, 32, 33, 100, 101, 102, 103, 110 and so on...
here twentieth term is 110.
so answer is option D

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