Final answer:
To find the 4-digit hexadecimal representation of -38 in 2's complement, convert -38 to binary and then to hexadecimal.
Step-by-step explanation:
To find the 4-digit hexadecimal representation of the decimal number -38 in 2's complement, we need to convert -38 to binary and then to hexadecimal.
Step 1: Convert -38 to binary:
-38 is represented in binary as 2's complement of 38, which is 00100110. To convert a negative number to its 2's complement, invert all the bits (change 0s to 1s and 1s to 0s) and add 1.
Step 2: Convert the binary number 00100110 to hexadecimal:
Starting from the right, group the binary digits into sets of 4. The 4-bit groups are 0010 (2) and 0110 (6).
The 4-digit hexadecimal representation of the decimal number -38 in 2's complement is 26.