Let's break down the questions one by one:
Question 1
You are given the following code snippet:
decimalNum = int(input("Please enter a decimal number: "))
binaryList = []
while decimalNum > 0:
decimalNum = decimalNum / 2
remainder = decimalNum % 2
binaryList.append(remainder)
print(binaryList)
If you enter 24
, let's analyze what happens:
decimalNum
starts as24
.- In the first loop iteration:
decimalNum
becomes12.0
(after division)remainder
is0.0
(since12 % 2 = 0
)binaryList
becomes[0.0]
.
- In the second iteration:
decimalNum
becomes6.0
.remainder
is0.0
.binaryList
becomes[0.0, 0.0]
.
- In the third iteration:
decimalNum
becomes3.0
.remainder
is1.0
.binaryList
becomes[0.0, 0.0, 1.0]
.
- In the fourth iteration:
decimalNum
becomes1.5
.remainder
is0.5
.binaryList
becomes[0.0, 0.0, 1.0, 0.5]
.
- In the fifth iteration:
decimalNum
becomes0.75
.remainder
is0.25
.binaryList
becomes[0.0, 0.0, 1.0, 0.5, 0.25]
.
The loop stops when decimalNum
is no longer greater than 0
.
So, binaryList
ends up being [0.0, 0.0, 1.0, 0.5, 0.25]
(which is not expected).
Correct Output for Q1: A huge list of decimal values.
Question 2
Now the modified code:
decimalNum = int(input("Please enter a decimal number: "))
binaryList = []
while decimalNum > 0:
remainder = decimalNum % 2
decimalNum = decimalNum // 2
binaryList.append(remainder)
print(binaryList)
Running the code with 24
gives us:
decimalNum
starts as24
.- In the iterations:
- Remainder when
24 % 2
is0
.decimalNum
is12
. - Remainder when
12 % 2
is0
.decimalNum
is6
. - Remainder when
6 % 2
is0
.decimalNum
is3
. - Remainder when
3 % 2
is1
.decimalNum
is1
. - Remainder when
1 % 2
is1
.decimalNum
becomes0
.
- Remainder when
Finally, the binaryList
is [0, 0, 0, 1, 1]
.
Correct Output for Q2: [0, 0, 0, 1, 1]
Question 3
The binary representation of 24 (from the binaryList
) is then reversed (since the least significant bit comes first in the list) to yield 0001 1000
.
Correct Output for Q3: 0001 1000
So the answers to the questions are:
- A huge list of decimal values.
- [0, 0, 0, 1, 1]
- 0001 1000