Question 112
5. Different calculator - A factory produced an original calculator that performs two operations: - The usual addition $+$ - The operation $\circledast$ we know that for every natural number $a$ we have: $$
\text{(i)}\ a \circledast a = a \quad \text{and (II)}\ a \circledast 0 = 2a
$$ E, for any four natural $a, b, c$ and $d$ $$
\text{(iii)}\ (a \circledast b) + (c \circledast d) = (a + c) \circledast (b + d)\text{.}
$$ What are the results of operations $(2+3) \circledast (0+3)$ and $1024 \circledast 48$ ?
\text{(i)}\ a \circledast a = a \quad \text{and (II)}\ a \circledast 0 = 2a
$$ E, for any four natural $a, b, c$ and $d$ $$
\text{(iii)}\ (a \circledast b) + (c \circledast d) = (a + c) \circledast (b + d)\text{.}
$$ What are the results of operations $(2+3) \circledast (0+3)$ and $1024 \circledast 48$ ?