The problem asks us to find the two's complement representation of the number 56 using 8 bits.

1. Problem Description

The problem asks us to find the two's complement representation of the number 56 using 8 bits.

2. Solution Steps

First, we need to convert the decimal number 56 to its binary representation. Then, since 56 is a positive number, its two's complement representation is the same as its binary representation. We must use 8 bits to represent the number.

$56 = 32 + 16 + 8 = 2^5 + 2^4 + 2^3$.

So, the binary representation of 56 is $111000$. To represent this with 8 bits, we pad with leading zeros.

Therefore, the 8-bit binary representation of 56 is $00111000$.

Since 56 is a positive number, the two's complement representation is the same as its binary representation. Thus, the two's complement representation of 56 using 8 bits is $00111000$.

3. Final Answer

00111000