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add the given number in the indicated base

Sagot :

Numbers in base 4 add up to 4 instead of 10, then first adding the unit we have

[tex]3+3=6=4+2\Rightarrow12_{four}[/tex]

Now, adding the next place to the left(considering the unit from the previous addition)

[tex]1+1+2=4\Rightarrow10_{four}[/tex]

Then

[tex]13_{\text{four}}+23_{\text{four}}=12_{\text{four}}+30_{\text{four}}=102_{\text{four}}[/tex]