Question

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

A
one
B
three
C
four
D
hundred

Solution

The correct option is C fourIn 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.PhysicsNCERTStandard XII

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