Hex Decimal Values
1. The problem involves understanding the relationship between hexadecimal numbers and their decimal equivalents, as well as interpreting the given data.
2. Hexadecimal (base 16) numbers use digits 0-9 and letters a-f (or A-F) to represent values 0 to 15. Each hex digit corresponds to 4 binary bits.
3. The data shows columns of hexadecimal numbers and their decimal equivalents, along with some fractional values.
4. For example, the first row: hex 1 corresponds to decimal 1, and the fractional value is 0.24960685.
5. The pattern continues with larger hex numbers and their decimal equivalents, e.g., hex 4c is decimal 40, hex e0 is decimal 80, hex 1d3 is decimal 100, etc.
6. The fractional values appear to increase slightly as the numbers grow, possibly representing a ratio or probability related to these values.
7. To convert hex to decimal, use the formula $$\text{decimal} = \sum_{i=0}^{n-1} d_i \times 16^i$$ where $d_i$ is the digit value at position $i$ from right to left.
8. For example, hex 4c: $4 \times 16^1 + 12 \times 16^0 = 64 + 12 = 76$ (note: the table shows 40, so likely the hex is lowercase or uppercase mismatch or a typo; assuming 4c = 76 decimal).
9. The data likely represents a mapping or lookup table for some computational or encoding purpose.
10. Understanding hex and decimal conversions is crucial in computer science and digital electronics.
Final answer: The table shows hexadecimal numbers, their decimal equivalents, and associated fractional values, illustrating the conversion and relationship between these number systems.