The binary number 1101 is equal to which base 10 number?(1 point)Responses11111212131314

Answer 1

To convert the binary number 1101 to a base 10 number, we can use the method of evaluating the binary digits as powers of 2:

Starting from the right:

• The first digit (from the right) is 1, which is \(1 \times 2^0 = 1\)
• The second digit is 0, which is \(0 \times 2^1 = 0\)
• The third digit is 1, which is \(1 \times 2^2 = 4\)
• The fourth digit is 1, which is \(1 \times 2^3 = 8\)

Now, we add these values together: \[ 8 + 4 + 0 + 1 = 13 \]

Therefore, the binary number 1101 is equal to 13 in base 10.