Question

Select the binary representation of 51

a (101011),
b. (110111),
c. (111011),
d.(110011),

Answer 1

The binary representation of the decimal number 51 is found by dividing it by 2 and recording the remainders in reverse order, resulting in the binary number 110011.

Step-by-step explanation:

The binary representation of the decimal number 51 is determined by converting the decimal number into binary form. To do this, we can repeatedly divide the number by 2 and keep track of the remainders. The binary representation is constructed from the remainders read in reverse order of division. Here is the step-by-step conversion process for 51:

1. Divide 51 by 2, which gives 25 with a remainder of 1.
2. Divide 25 by 2, which gives 12 with a remainder of 1.
3. Divide 12 by 2, which gives 6 with a remainder of 0.
4. Divide 6 by 2, which gives 3 with a remainder of 0.
5. Divide 3 by 2, which gives 1 with a remainder of 1.
6. Finally, divide 1 by 2, which gives 0 with a remainder of 1.

Reading the remainders from bottom to top, we get the binary representation: 110011.