Conversion of an octal number 738 to binary number is

1101112
1111002
1100102
1110112 E. None of the above

The correct answer is A. 1101112.

To convert an octal number to binary, you can use the following steps:

  1. Divide the octal number by 8 repeatedly, starting with the largest power of 8 that is less than or equal to the number.
  2. Write down the remainder of each division as a binary digit.
  3. Start with the rightmost digit and work your way to the left.
  4. If the remainder of a division is 0, write down a 0.
  5. If the remainder of a division is 1, write down a 1.

For example, to convert the octal number 738 to binary, you would divide it by 8 as follows:

738 / 8 = 92 with a remainder of 6
92 / 8 = 11 with a remainder of 4
11 / 8 = 1 with a remainder of 3
1 / 8 = 0 with a remainder of 1

The binary equivalent of 738 is therefore 1101112.

Option B, 1111002, is incorrect because the remainder of 92 / 8 is 11, not 10.

Option C, 1100102, is incorrect because the remainder of 11 / 8 is 3, not 2.

Option D, 1110112, is the correct answer.

Option E, None of the above, is incorrect because one of the options is the correct answer.