find the 1s complement of binary number `(0011001)_2` ?

Answer

To find the 1's complement of the binary number \( (0011001)_2 \), we will follow these steps:

### Step 1: Identify the Binary Digits
The given binary number is \( 0011001 \).

### Step 2: Apply the 1's Complement Rule
In 1's complement, we convert each binary digit as follows:
- Every \( 0 \) becomes \( 1 \)
- Every \( 1 \) becomes \( 0 \)

### Step 3: Convert Each Digit
Now, we will convert each digit of the binary number \( 0011001 \):
- The first digit is \( 0 \) → becomes \( 1 \)
- The second digit is \( 0 \) → becomes \( 1 \)
- The third digit is \( 1 \) → becomes \( 0 \)
- The fourth digit is \( 1 \) → becomes \( 0 \)
- The fifth digit is \( 0 \) → becomes \( 1 \)
- The sixth digit is \( 0 \) → becomes \( 1 \)
- The seventh digit is \( 1 \) → becomes \( 0 \)

### Step 4: Write the Result
Putting it all together, the 1's complement of \( 0011001 \) is:
\[ 1100110 \]

### Final Answer
Thus, the 1's complement of the binary number \( (0011001)_2 \) is \( (1100110)_2 \).

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