find the 1s complement of binary number `(0100101)_2` ?

Answer

To find the 1's complement of the binary number \( (0100101)_2 \), we will follow these steps:

### Step 1: Understand the 1's Complement
The 1's complement of a binary number is obtained by flipping all the bits in the number. This means that every 0 becomes a 1, and every 1 becomes a 0.

### Step 2: Write Down the Binary Number
The given binary number is:
\[ 0100101 \]

### Step 3: Flip the Bits
Now, we will flip each bit in the binary number:
- The first bit is 0, so it becomes 1.
- The second bit is 1, so it becomes 0.
- The third bit is 0, so it becomes 1.
- The fourth bit is 0, so it becomes 1.
- The fifth bit is 1, so it becomes 0.
- The sixth bit is 0, so it becomes 1.
- The seventh bit is 1, so it becomes 0.

Putting this all together, we get:
- 0 → 1
- 1 → 0
- 0 → 1
- 0 → 1
- 1 → 0
- 0 → 1
- 1 → 0

Thus, the 1's complement of \( 0100101 \) is:
\[ 1011010 \]

### Final Answer
The 1's complement of the binary number \( (0100101)_2 \) is \( (1011010)_2 \).

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