What is the decimal equivalent of the binary number 1011?

₹0.0

Question: 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.

What is the decimal equivalent of the binary number 1011?

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: 3, 2, 1, 0.
Step 3: Multiply each digit by 2 raised to the power of its position. This gives us: 1*2^3, 0*2^2, 1*2^1, and 1*2^0.
Step 4: Calculate each multiplication: 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.

No concepts available.