In the Binary number system `1 + 1=`

Options

A. `2`
B. `1`
C. `10`
D. `100`

Explanation

To solve the binary addition of `1 + 1`, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Binary Addition**:
In the binary number system, we only have two digits: 0 and 1. The addition rules are similar to decimal addition but with fewer digits.

2. **Add the Numbers**:
We start with the addition:
\[ 1 + 1 \]

3. **Apply Binary Addition Rules**:
- When you add 1 and 1 in binary, it is similar to adding 1 and 1 in decimal, but since we only have two digits (0 and 1), we cannot represent the sum (2) as a single binary digit.
- Therefore, we need to carry over. The result of `1 + 1` in binary is `10`. Here, `0` is the result in the current column, and `1` is carried over to the next column.

4. **Write the Result**:
Thus, the result of `1 + 1` in binary is:
\[ 10 \]

5. **Convert to Decimal for Verification**:
To verify, we can convert the binary result `10` back to decimal:
- The binary `10` represents:
\[ 1 \times 2^1 + 0 \times 2^0 = 2 + 0 = 2 \]
This confirms that our binary addition is correct.

### Final Answer:
The result of `1 + 1` in the binary number system is `10`.