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Convert the following unsigned hexadecimal numbers into octal. (a) $ECE (b) $1111 (show work)

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  1. 2 April, 05:49
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    (a) 7316

    (b) 10421

    Explanation:

    Hexadecimal numbers can be converted to octal by first converting them to binary numbers then making a group of 3 binary bits starting from LSB moving towards MSB and if there are less than 3 bits add respective 0's and writing their corresponding octal numbers.

    ECE=111011001110

    111 011 001 110

    7 3 1 6

    Hence it's corresponding octal number is 7316.

    1111=0001000100010001

    000 001 000 100 010 001

    0 1 0 4 2 1

    Since the first number is 0 so we can remove it.

    So the octal number is 10421.
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