Final answer:
To find the sum in 8-bit signed magnitude arithmetic, convert both numbers to their binary representation, add the signed magnitude numbers, and convert the result to decimal.
Step-by-step explanation:
In 8-bit signed magnitude arithmetic, the most significant bit (MSB) represents the sign of the number. If the MSB is 0, the number is positive. If the MSB is 1, the number is negative. For positive numbers, the magnitude is represented as is. For negative numbers, the magnitude is represented by the 7-bit complement. To find the sum of 75 and 46, convert both numbers to 8-bit signed magnitude representation:
75 in binary: 01001011
46 in binary: 00101110
Add the signed magnitude numbers together:
01001011
+00101110
----------
01111001
The sum in binary is 01111001, which is equivalent to -17 in decimal.