Written in Python Programming Language
- Binary to Decimal
- Decimal to Binary
I will try to explain some part of the program.
Convert base-2 Binary digits into Decimal value
Note: Binary with decimal places like "01100001.11" is now supported.
Formula: dn-1 ... d3 d2 d1
Our binary is 0101.
Computation will start at first digit of binary. '0'
1st step:
Get the length of binary and subtract it into 1 and that is our raised number.
But in every digit from binary the raised power will be subtracted by 1.
2nd step:
Map it.
Table of truth
Start at first digit of binary
| Binary Digits | Raised Power |
|---|---|
| 0 | 3 |
| 1 | 2 |
| 0 | 1 |
| 1 | 0 |
3rd step:
Raise the base number into specific power from table above.
Base number is equal to 2. Binary is also known as base 2.
Calculate
n2x. Where n is a binary digit and x is its raised power.
Table of truth
| Calculate | Answer | Total Sum |
|---|---|---|
| 0 * 2 ^ 3 | 0 | 0 |
| 1 * 2 ^ 2 | 4 | 4 |
| 0 * 2 ^ 1 | 0 | 0 |
| 1 * 2 ^ 0 | 1 | 5 |
Note: If binary has decimal value like "0101.11", just continue decreasing the raised power in negative state like
| Calculate | Answer | Total Sum |
|---|---|---|
| 0 * 2 ^ 3 | 0 | 0 |
| 1 * 2 ^ 2 | 4 | 4 |
| 0 * 2 ^ 1 | 0 | 0 |
| 1 * 2 ^ 0 | 1 | 5 |
| - | Dot/Period Here | - |
| 1 * 2 ^ -1 | 0.5 | 5.5 |
| 1 * 2 ^ -2 | 0.25 | 5.75 |
4th step:
Get the last Total Sum and that is our output.
And where done
Convert Decimal into base-2 Binary using subtraction method.
Note: Decimal value with decimal places like 97.75 is now supported
1st step:
Watch this tutorial video: https://youtu.be/rsxT4FfRBaM
I will try to explain this thing later when I think my explaination is clear. =)
Decimal with decimal places like 97.75 is from RapidTables.com and I think I figured it out how those things work so I try to implement it and try to run the code if its meet your expectation.
Enjoy