Final answer:
The 8-bit binary representation of -38 in two's complement is 11011010.
Step-by-step explanation:
The binary representation of a negative number in two's complement is found by inverting the binary representation of its positive counterpart and adding 1 to the least significant bit. To find the 8-bit binary representation of -38 in two's complement, we start with the binary representation of 38, which is 00100110.
Inverting the bits gives us 11011001. Finally, we add 1 to the least significant bit, which results in 11011010 as the 8-bit binary representation of -38 in two's complement.