To convert the binary number 11111 to base 10, we need to understand how binary numbers work. Each digit in a binary number (which is base 2) represents a power of 2, starting from the rightmost digit, which is the least significant bit.
In the case of 11111, we can break it down as follows:
- 1 * 24 = 1 * 16 = 16
- 1 * 23 = 1 * 8 = 8
- 1 * 22 = 1 * 4 = 4
- 1 * 21 = 1 * 2 = 2
- 1 * 20 = 1 * 1 = 1
Now, we add all these values together:
16 + 8 + 4 + 2 + 1 = 31
Therefore, the binary number 11111 is equal to 31 in base 10.