Question

The hexademical number system uses base 16 with digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. Hexadecimal is often used in computer systems programming. Write a Python program, in a file called convertHex.py, to request a decimal number from the user and output the hexadecimal value. To compute the hexadecimal value we have to find the hexadecimal digits h_n, h_n-1, h_n-2, ..., h₂, h₁, and h₀, such that

  d = hn x 16n + hn-1 x 16n-1 + hn-2 x 16n-2 + ... + h2 x 162 + h1 x 161 +  h0 x 160

These hexadecimal digits can be found by successively dividing d by 16 until the quotient is 0; the remainders are h₀, h₁, ..., h_n-1, h_n.

For example, if d=589:

• 589/16 is 36 with a remainder of 13 - 13 in hexadecimal is 'D' - this is h₀
• 36/16 is 2 with a remainder of 4 - 4 in hexadecimal is '4' - this is h₁
• 2/16 is 0 with a remainder of 2 - 2 in hexadecimal is '2' - this is h₂

So 589 in decimal is 24D in hexadecimal.

Your program should include the following functions:

• decToHex(dec_value) - returns the hexadecimal equivalent of dec_value (as a string)
• getHexChar(dec_digit) - returns the hexadecimal digit for dec_digit (note that 10 in decimal is 'A' in hex, 11 in decimal is 'B', etc)

Sample output:

Enter decimal value: 589
589 is equal to 24D in hexadecimal

Answer 1

Below is your code: -

def main():

num = int(input("Enter decimal value: "))

print(num,"is equal to",decToHex(num), "in hexadecimal")

def decToHex(dec_value):

val = str()

while dec_value > 0:

hexV=dec_value%16

dec_value=dec_value//16

val = getHexChar(hexV) + val

return val

def getHexChar(dec_digit):

if dec_digit < 10:

return str(dec_digit)

if dec_digit == 10:

return "A"

if dec_digit == 11:

return "B"

if dec_digit == 12:

return "C"

if dec_digit == 13:

return "D"

if dec_digit == 14:

return "E"

if dec_digit == 15:

return "F"

main()

Output