In the following, write the binary number in base 10.
110010112
110010112 in base 10 is 403.
To convert the binary number 11001011 to base 10, you can use the place value system.
Starting from the rightmost digit, assign each digit a power of 2, with the rightmost digit being 2^0, the next digit 2^1, the next 2^2, and so on.
Let's break down the calculation step by step:
1st digit (rightmost): 1 * 2^0 = 1 * 1 = 1
2nd digit: 1 * 2^1 = 1 * 2 = 2
3rd digit: 0 * 2^2 = 0 * 4 = 0
4th digit: 0 * 2^3 = 0 * 8 = 0
5th digit: 1 * 2^4 = 1 * 16 = 16
6th digit: 0 * 2^5 = 0 * 32 = 0
7th digit: 0 * 2^6 = 0 * 64 = 0
8th digit (leftmost): 1 * 2^7 = 1 * 128 = 128
Now, add up all the results:
1 + 2 + 0 + 0 + 16 + 0 + 0 + 128 = 147
Therefore, the binary number 11001011 in base 10 is equal to 147.