Question #8882

give the different factors of
12a2b3c4
( do not use powers )

Expert's answer

The number is presented as hexadecimal. (also: base 16, or hex) Is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F (or alternatively a–f) to represent values ten to fifteen.

For transfer in decimal system it is possible to take advantage of the formula:


Dec=i=1nS16i1Dec = \sum_{i=1}^{n} S * 16^{i-1}


Were: SS – value of symbol, ii – place of symbol from right

Solution:


Hex=12a2b3c4Hex = 12a2b3c4Dec=1167+2166+10165+2164+11163+3162+12161+4160=268435456+33554432+131072+45056+768+192+4=312652740Dec = 1 * 16^7 + 2 * 16^6 + 10 * 16^5 + 2 * 16^4 + 11 * 16^3 + 3 * 16^2 + 12 * 16^1 + 4 * 16^0 = 268435456 + 33554432 + 131072 + 45056 + 768 + 192 + 4 = 312652740


Answer: 312652740

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