What is the binary equivalent of the decimal number "14"?

What is the binary equivalent of the decimal number "14"?

• A. 0000 1110
• B. 0001 0010
• C. 0000 1100
• D. 0010 0110

Answer: (A)

To find the binary equivalent of the decimal number 14, it is essential to understand how binary numbers work. In the binary system, each digit represents a power of 2, starting from the rightmost digit which represents \(2^0\), the next \(2^1\), then \(2^2\), and so forth. When converting the decimal number 14 to binary, we can break it down as follows: - The highest power of 2 that fits into 14 is \(2^3\), which is 8. - Next, we subtract 8 from 14, which gives us 6. - The next highest power is \(2^2\), which is 4. Subtracting 4 from 6 gives us 2. - Then, \(2^1\) is 2, and subtracting 2 from 2 gives us 0. - The \(2^0\) place is not needed since we are left with 0. In binary, we denote which powers of 2 are present by marking them with 1 and which ones are absent with 0. So for 14, we have: - \(2^3\) (

To find the binary equivalent of the decimal number 14, it is essential to understand how binary numbers work. In the binary system, each digit represents a power of 2, starting from the rightmost digit which represents (2^0), the next (2^1), then (2^2), and so forth.

When converting the decimal number 14 to binary, we can break it down as follows:

• The highest power of 2 that fits into 14 is (2^3), which is 8.

• Next, we subtract 8 from 14, which gives us 6.

• The next highest power is (2^2), which is 4. Subtracting 4 from 6 gives us 2.

• Then, (2^1) is 2, and subtracting 2 from 2 gives us 0.

• The (2^0) place is not needed since we are left with 0.

In binary, we denote which powers of 2 are present by marking them with 1 and which ones are absent with 0. So for 14, we have:

• (2^3) (