Following are given conversion of numbers from one base system to another base system. which conversion is correct?
I. $$(4523)_{6} = (1059)_{10}$$
II. $$(4523)_{6} = (1069)_{10}$$
III. $$(0.203)_{5} = (0.424)_{10}$$
IV. $$(0.203)_{5} = (0.406)_{10}$$

I. $$(4523)_{6} = (1059)_{10}$$

$$\left(4523\right)_6=4\cdot6^3+5\cdot6^2+2\cdot6^1+3\cdot6^0=1059$$

So, this is correct.
II. $$(4523)_{6} = (1069)_{10}$$

$$\left(4523\right)_6=4\cdot6^3+5\cdot6^2+2\cdot6^1+3\cdot6^0=1059$$

So, this is incorrect.
III. $$(0.203)_{5} = (0.424)_{10}$$

$$\left(0.203\right)_5$$ = $$2\cdot\frac{1}{5}+0\cdot\frac{1}{25}+3\cdot\frac{1}{125}=0.424$$

That will be $$\left(0.424\right)_{10}$$

So, this is correct.

IV. $$(0.203)_{5} = (0.406)_{10}$$

$$\left(0.203\right)_5$$ = $$2\cdot\frac{1}{5}+0\cdot\frac{1}{25}+3\cdot\frac{1}{125}=0.424$$

So, this is incorrect.