Adding Signed 16-bit Hexadecimal Numbers in Sign-Magnitude Format

To convert a signed 16-bit hexadecimal number from sign-magnitude format to decimal, we first determine the sign bit (the leftmost bit) and then convert the remaining 15 bits to decimal. If the sign bit is 1, the number is negative and we take the two's complement of the remaining bits before converting to decimal.

For 5ED4, the sign bit is 0, indicating a positive number. Converting the remaining bits to decimal:

5ED4 = 516^3 + 1416^2 + 1316^1 + 416^0 = 54096 + 14256 + 13*16 + 4 = 23924

For 07A4, the sign bit is 0, indicating a positive number. Converting the remaining bits to decimal:

07A4 = 016^3 + 716^2 + 1016^1 + 416^0 = 04096 + 7256 + 10*16 + 4 = 1956

Adding the two decimal numbers:

23924 + 1956 = 25880

To convert this back to signed 16-bit hexadecimal in sign-magnitude format, we first determine the sign of the result. Since the result is positive, the sign bit is 0. Converting the absolute value of the result to hexadecimal:

25880 = 0x6588

Therefore, the result is 6588 in hexadecimal in sign-magnitude format.