In a binary to decimal converter, what is the decimal equivalent of the binary n

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Question: In a binary to decimal converter, what is the decimal equivalent of the binary number 1011?

Options:

Correct Answer: 11

Solution:

The binary number 1011 is equal to 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 0 + 2 + 1 = 11.

In a binary to decimal converter, what is the decimal equivalent of the binary number 1011?

In a binary to decimal converter, what is the decimal equivalent of the binary number 1011?

Step 1: Write down the binary number 1011.
Step 2: Identify the position of each digit from right to left, starting with 0. The positions are: 1 (2^0), 1 (2^1), 0 (2^2), and 1 (2^3).
Step 3: Calculate the value of each digit by multiplying it by 2 raised to the power of its position: 1*2^3, 0*2^2, 1*2^1, and 1*2^0.
Step 4: Perform the calculations: 1*2^3 = 8, 0*2^2 = 0, 1*2^1 = 2, and 1*2^0 = 1.
Step 5: Add all the results together: 8 + 0 + 2 + 1.
Step 6: The final result is 11, which is the decimal equivalent of the binary number 1011.

Binary to Decimal Conversion – Understanding how to convert binary numbers to their decimal equivalents using powers of 2.