Multiple choice

A 4 digit hexadecimal number is converted to binary number system. The leftmost digits are ignored. Which of the following is not possible?

  1. The binary equivalent of the 4 digit hexadecimal number has 13 digits.

  2. The binary equivalent of the 4 digit hexadecimal number has 14 digits.

  3. The binary equivalent of the 4 digit hexadecimal number has 15 digits.

  4. The binary equivalent of the 4 digit hexadecimal number has 16 digits.

  5. The binary equivalent of the 4 digit hexadecimal number has 17 digits.
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E Correct answer
Explanation

While converting a hexadecimal number to binary, we can convert each digit to a 4 digit binary number and write them in order of the hexadecimal digits. Thus, the resulting binary number will be of 16 digits. If the leftmost hexadecimal digit is less than 8, we will have zeroes on the left in the binary equivalent of such numbers. In any case the number of digits will not be more than 16.

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