HARD
IOQM - PRMO and RMO
IMPORTANT
Earn 100

In base -2 notation, digits are 0 and 1 only and the places go up in powers of -2. For example, 11011 stands for -24+-23+-21+-20 and equals number 7 in base 10. If the decimal number 2019 is expressed in base -2, how many non-zero digits does it contain?

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Important Questions on Logarithms and Exponentials

HARD
IOQM - PRMO and RMO
IMPORTANT
Consider the sequence 1, 7, 8, 49, 50, 56, 57, 343, ......... which consists of sums of distinct powers of 7 that is 70, 71, 70+71, 72, ....... in increasing order. At what position will 16856 occurs in this sequence?
HARD
IOQM - PRMO and RMO
IMPORTANT
In base -2 notation, digits are 0 and 1 only and the places go up in powers of -2. For example, 11011 stands for -24+-23+-21+-20 and equals number 7 in base 10. If the decimal number 2019 is expressed in base -2, how many non-zero digits does it contain?