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

(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.