Question

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

Answer 1

Answer:

(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.