79282080

Date: 2024-12-15 09:39:47
Score: 0.5
Natty:
Report link

Steps to Convert a Negative Number to Hexadecimal:

Understand the Bit Width:

Decide the bit width (e.g., 8 bits, 16 bits, 32 bits, etc.). This determines how many bits are used to store the number in binary and affects the final hexadecimal result.

Convert the Positive Equivalent to Binary: Take the absolute value of the negative number and convert it to binary. For example, if the number is -10, the absolute value is 10, and its binary representation is 1010 (in 4 bits).

Pad the Binary Number: Pad the binary number with leading zeros to match the chosen bit width. For example, 1010 becomes 00001010 in an 8-bit representation.

Invert the Bits (One's Complement): Flip all the bits (0 becomes 1, and 1 becomes 0). For 00001010, the one's complement is 11110101.

Add 1 to the Inverted Binary Number (Two's Complement): Add 1 to the one's complement binary number to get the two's complement. For 11110101, adding 1 gives 11110110.

Group Binary Digits into Nibbles: Divide the binary number into groups of 4 bits (nibbles) starting from the right. For 11110110, the groups are 1111 and 0110.

Convert Each Nibble to Hexadecimal: Convert each group of 4 bits into its hexadecimal equivalent. For 1111, the hex is F, and for 0110, the hex is 6.

Combine the Hex Digits: Concatenate the hexadecimal digits to get the final result. For 11110110, the hexadecimal result is F6.

Below is an example:

Convert -10 to 8-bit hexadecimal:

Bit Width: 8 bits.

Positive Binary: ∣10∣=10 → 1010.

Pad to 8 Bits: 00001010.

Invert Bits: 11110101.

Add 1: 11110101 + 1 = 11110110.

Group into Nibbles: 1111 and 0110.

Convert to Hex: 1111 = F, 0110 = 6.

Final Hex: F6.

Reasons:
  • Long answer (-1):
  • No code block (0.5):
  • Low reputation (1):
Posted by: Shakhzod Shermatov