The problem asks to convert the two's complement binary number $11100011$ to its decimal representation.

1. Problem Description

The problem asks to convert the two's complement binary number $11100011$ to its decimal representation.

2. Solution Steps

Since the most significant bit (MSB) is 1, the number is negative.

To find the magnitude of the negative number, we need to take the two's complement of the given binary number.

Step 1: Invert the bits (change 1s to 0s and 0s to 1s).

$11100011$ becomes $00011100$.

Step 2: Add 1 to the result.

$00011100 + 1 = 00011101$

Now, we convert the binary number $00011101$ to its decimal equivalent.

$00011101_2 = (0 \times 2^7) + (0 \times 2^6) + (0 \times 2^5) + (1 \times 2^4) + (1 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (1 \times 2^0)$

$= 0 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 29$

Since the original number was negative, the decimal representation is $-29$.

3. Final Answer

-29