the people in aldeeran planet use a base six system.
a]show how the aldeeran people represent each of the following:
i) 291.5 (base 10)
ii) 1010111 (base 2)
iii) 71.6 (base 8)
iv) 10A.4 (base 16)
b] how would the aldeeran people calculate 10110.1 (base 2) + 52.C (base 16)? show all your working using base six system.
- My Try -
a)i) = 2*6^2+9*6+1+5*6^-1 = 127.83
ii) = 1*2^6+2^4+2^2+2+1 = 87
iii) = 7*8+1+6*8^-1 = 57.75
iv) = 00010001010.0100 = 2^8+2^3+2+2^-2 = 266.25
For i, you are converting $291.5_6$ to base $10$ (despite the fact that base $6$ doesn't have a $9$). You were supposed to convert from base $10$ to base $6$. We have $291.5_{10}=1\cdot 6^3+2\cdot^2+3+3\cdot 6^{-1}=1203.3_6$
For ii,iii,iv you have converted correctly to base $10$, but the assignment is to convert to base $6$.