Final answer:
The hexadecimal representation of 71 in base 16 is 47, and the octal representation is 107.
Step-by-step explanation:
Hexadecimal Representation:
The hexadecimal representation of 71 in base 16 is 47. In base 16, the digits range from 0 to 9 and then use letters A to F to represent values 10 to 15. Since 71 is less than 16, the hexadecimal representation is simply the same as the decimal representation.
Octal Representation:
The octal representation of 71 in base 8 is 107. In base 8, the digits range from 0 to 7. To convert from decimal to octal, divide the decimal number by 8 repeatedly and record the remainder from each division, reading them in reverse order.
For example, to convert 71 to octal:
71 ÷ 8 = 8 remainder 7
8 ÷ 8 = 1 remainder 0
So, the octal representation is 107.