add the given numbers in the indicated base 31four 33fourSol

add the given numbers in the indicated base

31four

+33four

Solution

Let us add the given numbers with the given base 4.

   31

+ 33

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first we add the digits 3 and 1 is 4 since base is 4 so that bring 0 down and carry is 1.

1

   31

+ 33

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     0

next we add 1 , 3 and 3 which is equal to 7 .

but 7 is one 4 plus one 3, bring down 3 and carry is 1

+ 33

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hence the sum 31₍₄₎ + 33₍₄₎ = 130₍₄₎