What is the binary equivalent of the decimal number 6?

What is the binary equivalent of the decimal number 6?

• A. 110
• B. 1010
• C. 1001
• D. 111

Answer: (A)

The binary equivalent of the decimal number 6 is represented as 110. To understand why this is the correct answer, it's essential to know what binary numbers are and how to convert decimal numbers to binary. In the binary system, each digit represents a power of 2, starting from the rightmost digit, which represents 2^0 (1), then 2^1 (2), followed by 2^2 (4), and so on. To convert the decimal number 6 into binary, you can express it as the sum of powers of 2: - 4 (which is 2^2) plus 2 (which is 2^1) equals 6. - In binary, the presence of a number in the value is represented by 1, and its absence by 0. Thus, in the binary representation: - The 2^2 place (4) has a 1 (which means 4 is included). - The 2^1 place (2) has a 1 (which means 2 is included). - The 2^0 place (1) has a 0 (which means 1 is not included). Putting this all together, the binary

The binary equivalent of the decimal number 6 is represented as 110. To understand why this is the correct answer, it's essential to know what binary numbers are and how to convert decimal numbers to binary.

In the binary system, each digit represents a power of 2, starting from the rightmost digit, which represents 2^0 (1), then 2^1 (2), followed by 2^2 (4), and so on.

To convert the decimal number 6 into binary, you can express it as the sum of powers of 2:

• 4 (which is 2^2) plus 2 (which is 2^1) equals 6.

• In binary, the presence of a number in the value is represented by 1, and its absence by 0.

Thus, in the binary representation:

• The 2^2 place (4) has a 1 (which means 4 is included).

• The 2^1 place (2) has a 1 (which means 2 is included).

• The 2^0 place (1) has a 0 (which means 1 is not included).

Putting this all together, the binary