Discussion

Explanation:

When we add numbers in non-decimal system, add them as we do in decimal system but write them according to the given base system.

Step 1: Adding unit’s digits.

Add them as decimal system i.e., 1 + 1 = 2.

Now write 2 in binary system i.e., (2)10 = (11)2

Write 0 and carry over 1 as we do with normal addition.


Step 2: Adding ten’s digits.

Add them as decimal system i.e., 1 + 0 + 0 = 1.


Step 3: Adding hundred’s digits.

Add them as decimal system i.e., 1 + 1 = 2.

Now write 2 in binary system i.e., (2)10 = (10)2

Write 0 and carry over 1.


Step 4: Adding thousand’s digits.

Add them as decimal system i.e., 1 + 1 = 2.

Now write 2 in binary system i.e., (2)10 = (10)2

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​​​​​​​Hence, 10010.

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