Which of the following statement is/are correct? I. The largest four digit…
2021
Which of the following statement is/are correct?
I. The largest four digit number in base 7 is 7777.
II. The smallest four digit number in base 8 is 1111.
- A.
Only I
- B.
Only II
- C.
Both I and II
- D.
Neither I nor II
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Show answer & explanation
Correct answer: D
Statement I:
In base 7, digits range from 0 to 6.
So, 7777 is not valid in base 7.
The largest 4-digit number in base 7 is actually 6666.
Statement II:
In base 8, digits range from 0 to 7.
The smallest 4-digit number is 1000, not 1111.