Final answer:
To represent each signed decimal integer in 16-bit hexadecimal form, we can convert the decimal numbers to their hexadecimal representations. For example, 24 in decimal is equal to 18 in hexadecimal.
Step-by-step explanation:
To represent each signed decimal integer in 16-bit hexadecimal form, we need to convert the decimal numbers to their hexadecimal representations. 24 in decimal is equal to 18 in hexadecimal. b. 331 in decimal is equal to 14B in hexadecimal. 21 in decimal is equal to 15 in hexadecimal. d. 45 in decimal is equal to 2D in hexadecimal. Therefore, the 16-bit hexadecimal representations are: a. 18. b. 14B. c. 15. d. 2D. To find the 16-bit hexadecimal representation of signed decimal integers, we first convert the decimal numbers into their binary representation, considering a total of 16 bits to include the sign bit (the most significant bit).
A positive number will have a leading zero, while a negative number will have a leading one after converting to binary with two's complement form. Then we convert binary to hexadecimal. Here's how you would do this for each number: a. 24 in binary is 0000 0000 0001 1000; in hexadecimal, it's 0018. b. 331 in binary is 0000 0001 0100 1011; in hexadecimal, it's 014B. c. 21 in binary is 0000 0000 0001 0101; in hexadecimal, it's 0015. d. 45 in binary is 0000 0000 0010 1101; in hexadecimal, it's 002D. Note that we only need to consider the negative conversion in the case of negative decimal numbers.