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Reika [66]
3 years ago
8

10,101 base 2 + 11,011 base 2 =

Mathematics
1 answer:
REY [17]3 years ago
7 0

Answer:

110,000 base 2

Step-by-step explanation:

column 1 [the first position in the number]:

1+1=0, (carry 1<u>)</u>

column 2:

0+1 +<u>1</u> <em>(carried)</em>=0, (carry 1)

column 3:

1+0+<u>1</u><em> (carried)</em>=0, (carry 1)

column 4:

0+1+1 <em>(carried)</em>=0, (carry 1)

column 5:

1+1+1=1, (carry 1)

then you write the last 1 'cause there is n number to add with:

10,101_{2}+11,011_{2}=110,000_{2}

In binary system the highest number to write is 1, if you add 1+1, it jumps to 0, and you have to carry 1 to the next position.

If you are not sure about the sum, you can convert the numbers in base 2, to base 10, so you can know if it is correct:

10,101_{2}=21_{10}\\11,011_{2}=27_{10}\\110,000_{2}=48_{10}

So 21+27=48.

<em>In decimal system when you add 9+1, it jumps to 0 and then you have to carry 1 to the next position, because the the highest number you can write is 9.</em>

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