# math

Change 1010101011 base 2 to base 4

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1. 1*2^0 + 1*2^1 = 3 = 3*4^0
+ 0*2^2 + 1*2^3 = 2 * 4 = 2 * 4^1
+ 0*2^4 + 1*2^5 = 2*16 = 2*4^2
+ 0*2^6 + 1*2^7 = 2 * 4^3
+ 0*2^8 + 1*2^9 = 2*2^8 = 2*4^4
so
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