If (12?07)8 = (1010110000111)2, then what is the missing digit in (12?07)8?
2018
If (12?07)8 = (1010110000111)2, then what is the missing digit in (12?07)8?
- A.
5
- B.
6
- C.
7
- D.
4
Attempted by 136 students.
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Correct answer: B
First, group the binary number 1010110000111 into sets of three bits from right to left: 001, 010, 110, 000, and 111.
Convert each group to octal: 001 is 1, 010 is 2, 110 is 6, 000 is 0, and 111 is 7. This gives the octal number 12607.
Comparing 12607 with the given format 12?07, the missing digit represented by ? is clearly 6.