Answer: (-10793)
Explanation:To find the binary representation of the hexadecimal number D5B7h, you can convert each hexadecimal digit into its equivalent 4-bit binary representation:
D = 1101
5 = 0101
B = 1011
7 = 0111
Now, concatenate these binary values to get the binary representation of D5B7h:
D5B7h = 1101010110110111
To calculate the unsigned decimal interpretation, convert the binary number 1101010110110111 to its decimal equivalent:
1101010110110111 (binary) = 54743 (decimal)
So, the unsigned decimal interpretation of D5B7h is 54743.
To calculate the signed decimal interpretation, you need to consider whether this number is positive or negative. To do that, you need to determine the most significant bit, which is the leftmost bit (the leftmost bit is the sign bit in a signed representation).
In this case, the most significant bit is 1, which means it's a negative number in two's complement notation.
To find the signed decimal interpretation, convert the two's complement representation to decimal:
1101010110110111 (binary) = -10793 (decimal)
So, the signed decimal interpretation of D5B7h is -10793.