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Compute 3578 + 2238. Give your answer as a base 8 integer.

 Jun 12, 2024

Best Answer 

 #1
avatar+1252 
+1

First, let's add up the two numbers. We get \(3578 + 2238 = 5816\)

 

Now, we want to convert 5816 to base 8. 

 

First, we have to do \(5816/8\). We get a quotient of 727 and a remainder of 0.

Next, we have \(727/8\). There's a remainder of 7 but a quotient of 90. 

Doing \(90/8\) has a quotient of 11 and a remainder of 2.

\(11/8 = 1 R 3\)

\(1/8=0R1\)

 

So for our final answer, we get \(13270_8\)

 

Thanks! :)

 Jun 12, 2024
 #1
avatar+1252 
+1
Best Answer

First, let's add up the two numbers. We get \(3578 + 2238 = 5816\)

 

Now, we want to convert 5816 to base 8. 

 

First, we have to do \(5816/8\). We get a quotient of 727 and a remainder of 0.

Next, we have \(727/8\). There's a remainder of 7 but a quotient of 90. 

Doing \(90/8\) has a quotient of 11 and a remainder of 2.

\(11/8 = 1 R 3\)

\(1/8=0R1\)

 

So for our final answer, we get \(13270_8\)

 

Thanks! :)

NotThatSmart Jun 12, 2024

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