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Conversion of an octal number 208 to its binary number is
Answer & Solution
Correct Answer:
Option
A
Conversion of an octal number 208 to its binary number is 100002.
20 to base 8 convert into decimals as 0 × 80 + 2 × 81 = 0 + 16 = 16.
From decimal convert to binary,
i.e. $$\frac{{16}}{2}$$ = 8 remainder 0.
$$\frac{8}{2}$$ = 4 remainder 0.
$$\frac{4}{2}$$ = 2 remainder 0.
$$\frac{2}{2}$$ = 1 remainder 0.
So the answer is 100002
20 to base 8 convert into decimals as 0 × 80 + 2 × 81 = 0 + 16 = 16.
From decimal convert to binary,
i.e. $$\frac{{16}}{2}$$ = 8 remainder 0.
$$\frac{8}{2}$$ = 4 remainder 0.
$$\frac{4}{2}$$ = 2 remainder 0.
$$\frac{2}{2}$$ = 1 remainder 0.
So the answer is 100002
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LoginBinary value of 2=010
Binary value of 0=000
Therefore binary value of 20=010000
0r 10000