In the following, write the binary number in base 10.
11001011
The binary number 11001011 in base 10 is equal to 203.
To convert the binary number 11001011 to base 10, you can use the following step-by-step method:
1. Identify the place values of each digit in the binary number. Starting from the rightmost digit, the place values increase by a power of 2 (from right to left) as follows: 2^0, 2^1, 2^2, 2^3, 2^4, 2^5, 2^6, and so on.
2. Multiply each digit of the binary number by its corresponding place value and sum up the results.
Using this method, let's calculate the conversion:
1. Starting from the rightmost digit:
Digit 0: 2^0 * 1 = 1
Digit 1: 2^1 * 1 = 2
Digit 0: 2^2 * 0 = 0
Digit 0: 2^3 * 0 = 0
Digit 1: 2^4 * 1 = 16
Digit 0: 2^5 * 0 = 0
Digit 1: 2^6 * 1 = 64
Digit 1: 2^7 * 1 = 128
2. Add up the results:
1 + 2 + 0 + 0 + 16 + 0 + 64 + 128 = 211
Therefore, the binary number 11001011 is equal to 211 in base 10.