What Represents the Binary Equivalence of 207?

A

To determine the binary equivalence of decimal number 207, we can use the process of binary conversion, which involves dividing the decimal number by 2 repeatedly until the quotient becomes 0, and then writing the remainders in reverse order to get the binary equivalent.

Here are the steps:

1. Divide 207 by 2: quotient = 103, remainder = 1
2. Divide 103 by 2: quotient = 51, remainder = 1
3. Divide 51 by 2: quotient = 25, remainder = 1
4. Divide 25 by 2: quotient = 12, remainder = 1
5. Divide 12 by 2: quotient = 6, remainder = 0
6. Divide 6 by 2: quotient = 3, remainder = 0
7. Divide 3 by 2: quotient = 1, remainder = 1
8. Divide 1 by 2: quotient = 0, remainder = 1

The binary equivalent of 207 is the sequence of remainders, written in reverse order: 11001111.

Therefore, the correct answer is A. 11001111.