Final answer:
To sum 48 and -19 using 8-bit 1's complement, convert both numbers to their 1's complement form, add them, and interpret the result, which is 44 in decimal form.
Step-by-step explanation:
To find the sum of 48 and -19 using 8-bit 1's complement arithmetic, you first need to represent each number in 8-bit 1's complement form. The number 48 in binary is 00110000. To write -19, you first write the binary of 19 which is 00010011, then take the 1's complement (flip all the bits) to get 11101100. Now, you add 00110000 and 11101100 together.
The result of the addition is 00101100, which is the binary representation for 44 in the conventional binary number system. However, since in 1's complement, a positive result is unchanged but a negative result is represented by its own 1's complement, we need to check the result. As the result is positive (leading bit is 0), the 1's complement representation of the sum 29 is indeed 00101100, or 44 in decimal.