Let's go through each of the questions and determine the answers.
Question 1
The code given is:
decimalNum = int(input("Please enter a decimal number: ")) # Input 24
binaryList = []
while decimalNum > 0:
decimalNum = decimalNum / 2 # This should be integer division
remainder = decimalNum % 2
binaryList.append(remainder)
print(binaryList)
- When you enter 24, the first issue with the code is the use of
/
which performs float division instead of integer division. This means thatdecimalNum
will eventually become a float, and using%
on it might not yield the correct remainders as you expect. - The first iteration would be:
decimalNum = 24 / 2 = 12.0
and12.0 % 2 = 0.0
thus appending0.0
.- The next iterations would continue dividing by 2 and appending float values until it eventually reaches a value less than or equal to 0.
Thus, if you were to enter 24, the output would be a list of float values that would not correctly represent 24 in binary.
So, the correct printout based on the given options is:
- [0, 0, 0, 1, 1] (though it should be noted that this output is incorrect as per the intention of the problem due to the float division).
Question 2
The modified code is as follows:
decimalNum = int(input("Please enter a decimal number: ")) # Input 24
binaryList = []
while decimalNum > 0:
remainder = decimalNum % 2 # Correctly gets the remainder
decimalNum = decimalNum // 2 # Uses integer division
binaryList.append(remainder)
print(binaryList)
- Now, when you run this code with 24:
- You get the remainders in reverse order:
- 24 % 2 = 0 (list is [0])
- 12 % 2 = 0 (list is [0, 0])
- 6 % 2 = 0 (list is [0, 0, 0])
- 3 % 2 = 1 (list is [0, 0, 0, 1])
- 1 % 2 = 1 (list is [0, 0, 0, 1, 1])
- The loop stops when
decimalNum
reaches 0.
- You get the remainders in reverse order:
Thus, the list [0, 0, 0, 1, 1]
is printed.
So, the correct answer is:
- [0, 0, 0, 1, 1]
Question 3
Now to convert decimal 24 to binary, based on the previous output and the correct understanding, the binary representation of 24 is 0001 1000
.
Thus, the answer is:
- 0001 1000
To summarize:
- [0, 0, 0, 1, 1] (for question 1's incorrect code)
- [0, 0, 0, 1, 1] (for question 2's corrected code)
- 0001 1000 (for the binary representation of 24)