What number must be subtracted from 11010101 to get 2635967 ?

Options

A. `8374136`
B. `8374134`
C. `8374144`
D. `8375134`

Answer

To find the number that must be subtracted from 11010101 to get 2635967, we will perform the following steps:

### Step 1: Write down the equation
We need to find the number \( x \) such that:
\[ 11010101 - x = 2635967 \]

### Step 2: Rearrange the equation
To find \( x \), we can rearrange the equation:
\[ x = 11010101 - 2635967 \]

### Step 3: Perform the subtraction
Now, we will subtract 2635967 from 11010101. We can align the numbers for easier subtraction:

```
11010101
- 2635967
```

### Step 4: Subtract the numbers
Starting from the rightmost digit:
- 1 - 7: We cannot subtract, so we borrow from the next digit. The 0 becomes 10 (which is 9 after borrowing), and we take 1 from the next 0, making it 10. So, 11 - 7 = 4.
- Next column: 0 (after borrowing) - 6: Again, we cannot subtract, so we borrow from the next column. The 1 becomes 0, and we take 1 from the next 0, making it 10. So, 10 - 6 = 4.
- Next column: 0 (after borrowing) - 5: We cannot subtract, so we borrow again. The 0 becomes 10, and we take 1 from the next column. So, 10 - 5 = 5.
- Next column: 1 - 3: We cannot subtract, so we borrow again. The 0 becomes 10, and we take 1 from the next column. So, 11 - 3 = 8.
- Next column: 0 (after borrowing) - 2: We cannot subtract, so we borrow again. The 1 becomes 0. So, 10 - 2 = 8.
- Next column: 1 - 6: We cannot subtract, so we borrow again. The 0 becomes 10. So, 11 - 6 = 5.
- Next column: 1 - 0 = 1.
- Last column: 1 - 0 = 1.

Putting it all together, we get:
```
11010101
- 2635967
-----------
8374134
```

### Step 5: Conclusion
The number that must be subtracted from 11010101 to get 2635967 is **8374134**.

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