Question

The micromanometer in a certain factory can measure the pressure inside the gas chamber from 1 unit to 999999 units. Lately this instrument has not been working properly. The problem with the instrument is that it always skips the digit 5 and moves directly from 4 to 6. What is the actual pressure inside the gas chamber if the micromanometer displays 003016?

Accepted Answer

A. This is equivalent to base-9 representation where digits are 0,1,2,3,4,6,7,8,9 (mapping 6->5, 7->6, 8->7, 9->8). Display '3016': Digit 3 maps to 3, 0 to 0, 1 to 1, 6 maps to 5. In base 9: $3015_9 = 3 	imes 9^3 + 0 	imes 9^2 + 1 	imes 9^1 + 5 	imes 9^0 = 3(729) + 0 + 9 + 5 = 2187 + 14 = 2201$.

Base Systems: Faulty Micromanometer

Explanation

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