Question: Which of the following is not correct?

Answer:

The statement "34 base 8 = 24 base 16" is incorrect. The correct conversion is "34 base 8 = 70 base 16".

To check if the conversion from base 8 (octal) to base 16 (hexadecimal) is correct, we need to convert the number 34 in base 8 to base 16.

34 base 8 = ?

To convert from octal to hexadecimal, we can first convert the octal number to binary and then convert the binary number to hexadecimal.

Converting 34 from octal to binary:
3 (in octal) = 011 (in binary)
4 (in octal) = 100 (in binary)

Concatenating the binary digits: 011100

Converting the binary number to hexadecimal:
0111 = 7 (in hexadecimal)
00 = 0 (in hexadecimal)

Combining the hexadecimal digits: 70

Therefore, the conversion from 34 base 8 to base 16 is 70.

So, the statement "34 base 8 = 24 base 16" is incorrect. The correct conversion is "34 base 8 = 70 base 16".