Dividing a hexadecimal number by a quinary system, find out the remainder?

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Umid2017-01-07 00:47:45

Number systems

Umid, 2017-01-07 00:47:45

What is the last digit of the integer part of the number obtained by dividing the number 8F10ABC76(16) by 112(5) in hexadecimal notation?
A maximum of 10 minutes is given for this task. How can you calculate without having a calculator at hand.

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1 answer(s)

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15432, 2017-01-07
@DarCKoder

From quintal to decimal (25+5+2 =32), from decimal to hexadecimal (32 = 0x20 = 0x10*2), divide 0x8F10ABC76 by 0x20 - first by 0x10 (it turns out 0x8F10ABC7), then by 0x2 (it is not necessary to divide everything , we look only at the last digit, 7/2 = 3), the answer 3
PS wrote in 2 minutes without a calculator. You are given 10. Freebie f.