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Question

In the binary number system, the number $$100$$ represents


A
one
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B
three
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C
four
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D
hundred
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Solution

The correct option is C four
In binary number system only $$0$$'s and $$1$$'s are used to built the whole number system.
Hence,
$$0 = 0$$
$$1 = 1$$
Start back at $$0$$ again, but add $$1$$ on the left,
$$2 = 10$$
$$3 = 11$$
Start back at $$0$$ again, and add one to the number on the left, but that number is already at $$1$$, so it also goes back to $$0$$ and $$1$$ is added to the next position on the left. Hence,
$$4 = 100$$ .... and so on.

Physics
NCERT
Standard XII

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