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Question

The binary number 11111111 divided by 1111 gives ______ in the decimal system.

The correct answer is

the second highest prime number less than 20

Binary 11111111 = 28 − 1 = 255 in decimal.

Binary 1111 = 24 − 1 = 15 in decimal.

255 ÷ 15 = 17.

Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19. The highest is 19 and the second highest is 17.

17 is odd and prime, so it is neither an even number nor a composite number.

Hence, the result is the second highest prime number less than 20.

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