What is an example of binary representation?

• A. 10.5
• B. 1010
• C. 0.25
• D. 3.14

Answer: (B)

Binary representation is a way of expressing numbers using only two digits: 0 and 1. This system is foundational in computer science and digital electronics, as computers operate using binary logic.

The example of 1010 is a representation of the number in binary form. In binary, the rightmost digit represents (2^0) (1s place), the next represents (2^1) (2s place), then (2^2) (4s place), and so on. The binary number 1010 can be calculated as follows:

• (1 \times 2^3) (which equals 8)

• (0 \times 2^2) (which equals 0)

• (1 \times 2^1) (which equals 2)

• (0 \times 2^0) (which equals 0)

Adding these values together gives (8 + 0 + 2 + 0 = 10) in decimal.

The other options represent numbers in decimal notation or are not relevant as binary representations. For instance, 10.5 and 3.14 are decimal floating-point numbers, while 0.25 is a fraction expressed in