Binary to Decimal is the process of converting a number from the binary system (base-2), which uses only 0 and 1, into the decimal system (base-10), which uses digits from 0 to 9.
For example:
Binary 1010 → Decimal 10
Human Readability: Humans commonly use decimal numbers. Converting binary to decimal makes data easier to understand.
Interfacing with Digital Systems: Computers operate in binary, but humans often need to interpret or input numbers in decimal.
Debugging/Testing: When writing software or designing hardware, binary data is often converted to decimal to check correctness.
You can convert binary to decimal manually or with a tool/calculator.
Manual method (using powers of 2):
Example: 1011
= (1×23)+(0×22)+(1×21)+(1×20)(1×2^3) + (0×2^2) + (1×2^1) + (1×2^0)
= 8+0+2+1=118 + 0 + 2 + 1 = 11 (Decimal)
When displaying binary data to users
When interpreting binary results (e.g., IP addresses, file headers)
When learning or teaching digital systems and computer science
During communication between digital devices and external systems that expect decimal values