By Chowdhury K.C.

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**Extra resources for A first course in theory of numbers**

**Example text**

Numbers are recorded by feeding electrical pulses into the first circuit. When this circuit receives no pulses, the switch it controls is OFF. When it receives one pulse, it turns the switch on. When it receives a second pulse, it turns the switch off again, and passes a pulse on to the next circuit on the left. This is like putting down a zero and carrying a 1 to the next column. In the same way, each circuit, after receiving two pulses, turns off the switch that it controls, and passes on a pulse to the next circuit on the left.

How would the same numbers be written in the ten-scale? 6) Changing to the Twelve-Scale To change a number from the ten-scale to the twelvescale, divide the number by twelve, write the quotient on the next line, and write the remainder on the side. Then divide the quotient by twelve, put the new quotient on the next line, and the remainder on the side. Keep this up until you get a quotient equal to zero. If you get a remainder of ten or eleven, remember to use the symbols T or E. The remainders will be the digits of the twelve-scale numeral for the number.

Somebody put the counterfeit coin into the tray with the eight genuine coins. " "You don't have to," his assistant said. " The assistant was right. In two weighings he quickly found the counterfeit coin. The dealer rushed to 56 the airport with the others, and boarded the plane five seconds before it took off. How did his assistant pick out the counterfeit coin? (Answer No. 23) In the Marketplace The inquisitive tourist looked at the five different weights standing in a line beside the balance scale on Abu's counter in the marketplace.