To convert the number 71 to base 8, we need to divide it repeatedly by 8 and note down the remainders until the quotient becomes 0. The remainders in reverse order will give us the equivalent number in base 8.
Here's how we can do it:
- 71 ÷ 8 = 8 remainder 7
- 8 ÷ 8 = 1 remainder 0
- 1 ÷ 8 = 0 remainder 1
So, the equivalent number in base 8 is 107. Therefore, the correct answer is option A: 1078.