Final answer:
To subtract 8 from 8000 hex, borrow from the next non-zero digit to the left and proceed with the subtraction, resulting in the hexadecimal answer 7F08.
Step-by-step explanation:
To subtract 8 from 8000 in hexadecimal (hex), you need to understand that hexadecimal is a base-16 number system, which means it uses 16 different digits (0-9 and A-F). The decimal number 8 is the same as the hexadecimal number 8, so when we subtract 8 from 8000 hex, we work from right to left just like in decimal subtraction. If a column doesn't have enough to subtract from, we borrow from the next column to the left, which in hex is 16 instead of 10 like in decimal.
Let's perform the subtraction:
- 8000 hex is written as 8000, where the last two zeros are in the 16's and 1's places, respectively.
- Subtract 8 from the 1's place: 0 - 8 cannot be done without borrowing, so we borrow from the 16's place (which is also 0 and hence needs to borrow from the next non-zero digit, which is 8).
- After borrowing, the number becomes 7F00, where 7F is 127 in decimal. Now we can subtract 8 from 16 (which is the borrowed 1 in hexadecimal), leaving us with 7F0(16-8).
- Finally, 16-8 in hex is 8, so we write down 8 and the answer is 7F08 hex.
Therefore, 8000 hex minus 8 is 7F08 hex.