Question

Translate the following signed decimal numbers to 8-bit hexadecimal:

a. -35
b. 78
c. -100
d. 255

Answer 1

To translate a signed decimal number to 8-bit hexadecimal, you first need to convert the number to binary and then convert the binary number to hexadecimal.

Step-by-step explanation:

To translate a signed decimal number to 8-bit hexadecimal, you first need to convert the number to binary and then convert the binary number to hexadecimal. Let's go through each example:

1. -35: First, convert -35 to binary by taking the absolute value and converting it to binary: 35 = 00100011. Add a negative sign to the binary number: -00100011. Then, convert the binary number to hexadecimal: -0010 = 2 and 0011 = 3, so the hexadecimal representation of -35 is 23.
2. 78: Convert 78 to binary: 78 = 01001110. Convert the binary number to hexadecimal: 0100 = 4 and 1110 = E, so the hexadecimal representation of 78 is 4E.
3. -100: Convert -100 to binary: 100 = 01100100. Add a negative sign to the binary number: -01100100. Convert the binary number to hexadecimal: -0110 = 6 and 0100 = 4, so the hexadecimal representation of -100 is 64.
4. 255: Convert 255 to binary: 255 = 11111111. Convert the binary number to hexadecimal: 1111 = F and 1111 = F, so the hexadecimal representation of 255 is FF.