5117 in base 8 - 324 in base 8l
5117 in base 8 is equivalent to 2655 in base 10.
324 in base 8 is equivalent to 212 in base 10.
Therefore, the subtraction would be:
2655 - 212 = 2443
To subtract 324 from 5117 in base 8, you need to perform column-wise subtraction considering the base 8 digits.
Let's break down the calculation step by step:
1. Write down the numbers vertically, aligning the digits by their place value:
```
5 1 1 7
- 3 2 4
```
2. Starting from the rightmost column, subtract the corresponding digits:
- For the rightmost column, 7 - 4 = 3.
- Write down the result (3) in the same column below.
```
5 1 1 7
- 3 2 4
3
```
3. Move to the next column to the left. Since we are subtracting a larger number from a smaller number (4 from 7), we need to borrow from the next higher place value.
- Subtract 2 from 1. Since 1 is smaller than 2, we need to borrow from the next column.
- In base 8, borrowing involves subtracting 1 from 8 (the base) to get 7 and adding it to the original digit 1.
- Now we have 1 + 7 = 10.
- Write down the resulting value (10) below the column.
```
5 1 1 7
- 3 2 4
1 0 3
```
4. Continue the process for the remaining columns, always borrowing when necessary:
- Subtract 3 from 1. Again, we need to borrow from the next column.
- Borrowing in this case involves subtracting 1 from 8 to get 7 and adding it to the original digit 1.
- Now we have 1 + 7 = 10.
- Write down the resulting value (10) below the column.
```
5 1 1 7
- 3 2 4
1 1 0 3
```
5. Finally, subtract 3 from 5 without needing to borrow:
- 5 - 3 = 2
- Write down the result (2) below the column.
```
5 1 1 7
- 3 2 4
2 1 1 0 3
```
The result of subtracting 324 from 5117 in base 8 is 21103.
To subtract 324 in base 8 from 5117 in base 8, follow these steps:
1. Write down the larger number (5117) and the smaller number (324) vertically, right-aligning them.
5 1 1 7
- 3 2 4
2. Begin subtracting from right to left.
- Start with the ones place: 7 - 4 = 3. Write down the result below the line.
5 1 1 7
- 3 2 4
3
- Move to the next place value, which is the eights place: 1 - 2 = -1. Since we can't have a negative digit, we need to borrow from the next place value.
- Subtract 1 from the digit in the fours place, which becomes 10. Then add 10 to the digit in the eights place, which becomes 11.
5 1 11 7
- 3 2 4
3
- Now, subtract 4 from 11, which gives us 7. Write down the result below the line.
5 1 11 7
- 3 2 4
7 3
- Finally, subtract 3 from 5, which gives us 2. Write down the result below the line.
5 1 11 7
- 3 2 4
2 7 3
3. The final result is 273 in base 8.