What is the decimal equivalent of the binary number 1010?

What is the decimal equivalent of the binary number 1010?

• A. 4
• B. 5
• C. 10
• D. 12

Answer: (C)

To determine the decimal equivalent of the binary number 1010, it’s important to understand how binary numbers work. Each digit in a binary number represents a power of 2, starting from the rightmost digit, which is 2 raised to the power of 0. In the binary number 1010: - The rightmost digit (0) is at the 2^0 place, which is 1, contributing 0 * 1 = 0. - The next digit to the left (1) is at the 2^1 place, which is 2, contributing 1 * 2 = 2. - The next digit (0) is at the 2^2 place, which is 4, contributing 0 * 4 = 0. - The leftmost digit (1) is at the 2^3 place, which is 8, contributing 1 * 8 = 8. Now, when you sum these contributions together: 0 + 2 + 0 + 8 = 10. Therefore, the decimal equivalent of the binary number 1010 is 10, making it the correct answer. Understanding the positional values of binary numbers is essential in converting them to

To determine the decimal equivalent of the binary number 1010, it’s important to understand how binary numbers work. Each digit in a binary number represents a power of 2, starting from the rightmost digit, which is 2 raised to the power of 0.

In the binary number 1010:

• The rightmost digit (0) is at the 2^0 place, which is 1, contributing 0 * 1 = 0.

• The next digit to the left (1) is at the 2^1 place, which is 2, contributing 1 * 2 = 2.

• The next digit (0) is at the 2^2 place, which is 4, contributing 0 * 4 = 0.

• The leftmost digit (1) is at the 2^3 place, which is 8, contributing 1 * 8 = 8.

Now, when you sum these contributions together:

0 + 2 + 0 + 8 = 10.

Therefore, the decimal equivalent of the binary number 1010 is 10, making it the correct answer. Understanding the positional values of binary numbers is essential in converting them to