Anyone know the simplest way to convert binary to decimal and backforth?
python - Converting binary to decimal integer output - Stack Overflow
c# - How to convert binary to decimal - Stack Overflow
Help convert decimal to binary.
Consider what binary numbers represent. The right-most bit represents the ones place. The adjacent bit represents the two's place, then four, then eight, and so on.
14 decimal is 1110 binary
Now, it turns out that when dividing a number by 2 and rounding down, it's representation in binary is equivalent to throwing the right-most bit away.
7 decimal is 111 binary 3 decimal is 11 binary 1 decimal is 1 binary
Now, you might recall that a binary number is even if it's right-most bit is 0 and odd otherwise. So let's walk through one more time.
14 decimal is 1110 binary
The last bit is 0 and 14 is even.
7 decimal is 111 binary
The last bit is 1 and 7 is odd.
3 decimal is 11 binary
The last bit is 1 and 3 is odd.
1 decimal is 1 binary.
The last bit is 1 and 1 is odd.
This is why the program checks if the number is even or odd at every step. Now, we analyzed the original input (14) from the right-most bit to left. If we printed the result in this order, we would get:
14 decimal is 0111
Notice this result is backwards. Remember that at each step, we analyzed the right-most bit by checking if the result was even or odd. Luckily, the program doesn't print at each step until after the next step is finished (recursion). This allows the result to be printed in the correct order.
Now, we talked about the recursive form, which hopefully is more clear now. Notice though, that we only recurse if the number is greater than 1. If our input is 0 or 1, there is no recursive call. Nicely though, 0 is 0 in binary and even. 1 is 1 in binary and odd. So, everything checks out.
Hope that helps.
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I have seen the udemy course on binary to decimal and decimal to binary but it's kinda hard for certain numbers such as 127, 125.
I'm learning subnetting and for me understanding binary is really imp. Pls help.
You can use int and set the base to 2 (for binary):
>>> binary = raw_input('enter a number: ')
enter a number: 11001
>>> int(binary, 2)
25
>>>
However, if you cannot use int like that, then you could always do this:
binary = raw_input('enter a number: ')
decimal = 0
for digit in binary:
decimal = decimal*2 + int(digit)
print decimal
Below is a demonstration:
>>> binary = raw_input('enter a number: ')
enter a number: 11001
>>> decimal = 0
>>> for digit in binary:
... decimal = decimal*2 + int(digit)
...
>>> print decimal
25
>>>
Binary to Decimal
int(binaryString, 2)
Decimal to Binary
format(decimal ,"b")
ps: I understand that the author doesn't want a built-in function. But this question comes up on the google feed even for those who are okay with in-built function.
The Convert.ToInt32 method has an overload that accepts a base parameter.
Convert.ToInt32("1001101", 2).ToString();
Take a look at this questions which is very similar but dealing with hex How to convert numbers between hexadecimal and decimal in C#?
Convert.ToInt64(value, 2)