Final answer:
To convert (11001)_2 to decimal, multiply each binary digit by the corresponding power of 2 based on its position, starting from the right. Add the products to get the decimal value, which in this case is 25.
Step-by-step explanation:
To convert the binary number (11001)_2 to its decimal equivalent, you must understand that each digit represents a power of 2, starting from the rightmost digit which is the least significant bit (LSB). The leftmost digit is the most significant bit (MSB). Now, let's convert (11001)_2 to decimal:
The rightmost digit (1) is in the 20 place, so it is worth 1*20 = 1.
The next digit to the left (0) is in the 21 place, so it is worth 0*21 = 0.
Continuing to the left, the next digit (0) is in the 22 place, so it's worth 0*22 = 0.
The next digit (1) is in the 23 place, so it's worth 1*23 = 8.
Finally, the leftmost digit (1) is in the 24 place, so it's worth 1*24 = 16.
Add up all the values: 16+0+0+8+1 = 25. So, the decimal expansion of (11001)_2 is 25.