What is the decimal equivalent of the binary number 11011001?

What is the decimal equivalent of the binary number 11011001?

• A. 217
• B. 189
• C. 221
• D. 199

Answer: (A)

To find the decimal equivalent of the binary number 11011001, you start by understanding the positional value of each digit in binary, which is base-2. Each digit represents a power of 2, starting from the rightmost digit. For the binary number 11011001, you can break it down as follows: - The rightmost digit (1) is in the 2^0 place (which is 1). - The second digit from the right (0) is in the 2^1 place (which is 0). - The third digit (0) is in the 2^2 place (which is 0). - The fourth digit (1) is in the 2^3 place (which is 8). - The fifth digit (1) is in the 2^4 place (which is 16). - The sixth digit (0) is in the 2^5 place (which is 0). - The seventh digit (1) is in the 2^6 place (which is 64). - The eighth digit (1) is in the 2^7 place (which is 128). Now, add these values together: 1. From the first

To find the decimal equivalent of the binary number 11011001, you start by understanding the positional value of each digit in binary, which is base-2. Each digit represents a power of 2, starting from the rightmost digit.

For the binary number 11011001, you can break it down as follows:

• The rightmost digit (1) is in the 2^0 place (which is 1).

• The second digit from the right (0) is in the 2^1 place (which is 0).

• The third digit (0) is in the 2^2 place (which is 0).

• The fourth digit (1) is in the 2^3 place (which is 8).

• The fifth digit (1) is in the 2^4 place (which is 16).

• The sixth digit (0) is in the 2^5 place (which is 0).

• The seventh digit (1) is in the 2^6 place (which is 64).

• The eighth digit (1) is in the 2^7 place (which is 128).

Now, add these values together:

1. From the first