Answer: The binary value 11001 is correct, representing the decimal number 25. Therefore, there doesn't appear to be anything wrong with the value Jayden entered. The binary-to-decimal conversion of 11001 does indeed yield 25. It seems that Jayden's conversion was accurate, and the computer program confirmed the correct decimal equivalent.
To convert a binary number to decimal, you can assign each digit in the binary representation a corresponding power of 2, starting from the rightmost digit. In this case, the binary number 11001 can be broken down as follows:
1 * 2^4 + 1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 1 * 2^0
This simplifies to:
16 + 8 + 0 + 0 + 1 = 25
Therefore, the correct decimal value for the binary number 11001 is indeed 25. Jayden's conversion and the program's result are accurate.