Binary Calculator
Perform arithmetic and bitwise operations on binary, decimal, and hexadecimal numbers.
About this tool
A binary calculator is an essential tool for programmers, software engineers, and anyone working with computer systems at a low level. Unlike everyday decimal arithmetic, binary (base-2) operations are fundamental to how computers process and store data, making this tool invaluable for debugging, learning assembly language, and understanding bitwise manipulation.
To use the binary calculator, select your input number system (binary, decimal, or hexadecimal), enter your numbers, choose an operation (addition, subtraction, multiplication, division, or bitwise operations like AND, OR, XOR, and bit shifts), and the calculator instantly displays the result across all three formats. This simultaneous representation helps you see how the same value appears in binary, decimal, and hexadecimal—a critical insight for low-level programming and algorithm optimization.
The tool is particularly valuable for embedded systems developers, cryptography enthusiasts, and students learning computer architecture. Whether you're verifying bit manipulations in a C program, understanding two's complement representation, or exploring how data is encoded internally, this calculator eliminates manual conversion errors and speeds up your workflow significantly.
Frequently Asked Questions
Code Implementation
# Binary/Octal/Decimal/Hex conversions and arithmetic
# Convert decimal to other bases
n = 42
print(bin(n)) # 0b101010
print(oct(n)) # 0o52
print(hex(n)) # 0x2a
# Convert from binary/octal/hex to decimal
print(int("101010", 2)) # 42 (binary)
print(int("52", 8)) # 42 (octal)
print(int("2a", 16)) # 42 (hex)
# Format without prefix
print(format(42, "b")) # 101010
print(format(42, "o")) # 52
print(format(42, "x")) # 2a
print(format(42, "08b")) # 00101010 (zero-padded 8 bits)
# Binary arithmetic
a = 0b1010 # 10
b = 0b0110 # 6
print(bin(a + b)) # 0b10000 (16)
print(bin(a - b)) # 0b100 (4)
print(bin(a * b)) # 0b111100 (60)
print(a // b) # 1 (integer division)Comments & Feedback
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