Question

True or False (1 point each)

(1) The binary representation of decimal 33 is 00110001.
(2) The hexadecimal representation of decimal 33 is 2Fh.
(3) The sum of the binary integers 01101101 and 00111011

Answer 1

Answer:

1- False

2- False

3- 10101000

Explanation:

• The binary of 33 is 100001. This binary is calculated by dividing 33 with 2 and writing the remainder in front of that number. We continue dividing the number until the number is completely divided by 2.
• The hexadecimal representation of 33 is 21. For hexadecimal representation, make pairs of the binanry that you calculated in the first part. Make two pairs of 4 bits each. Adding 0's on the left side doen't make any difference.

        1st pair: 0 0 0 1

        2nd pair: 0 0 1 0

        8 4 2 1                   8 4 2 1

        0 0 1 0                  0 0 0 1

• Hexadecimal number: 21The sum of binary integers is 10101000.

        0 1 1 0 1 1 0 1

        0 0 1 1 1 0 1 1

       --------------------

       1 0 1 0 1 0 0 0

      adding 1 + 1 = 0 (1 goes as carry)

      adding 1 + 1 + 1 = 1 (1 goes as carry)