Binary Fixed-Point Calculator
Calculate addition, subtraction, multiplication and division of binary fixed-point numbers using configurable integer and fractional bits. View decimal equivalents, binary results and overflow information.
What Is a Binary Fixed-Point Calculator?
A binary fixed-point calculator performs arithmetic on binary numbers whose binary point remains at a predefined position. The format allocates a fixed number of bits to the integer and fractional portions of each value.
This makes fixed-point arithmetic useful for studying embedded processors, digital signal processing, FPGA designs and other systems where calculations use scaled integers rather than general floating-point representations.
Supported Fixed-Point Operations
Binary Addition
Add two fixed-point values that use the same scaling factor and display the result in the selected format.
Binary Subtraction
Subtract the second fixed-point operand from the first while preserving the configured fractional precision.
Binary Multiplication
Multiply the represented decimal values and quantize the result back into the selected fixed-point format.
Binary Division
Divide one fixed-point value by another and convert the resulting value back to the configured binary format.
Fixed-Point Calculation Example
How Fixed-Point Arithmetic Works
With F fractional bits, a fixed-point number is interpreted using a scaling factor of 2^F. For example, four fractional bits produce a scale of 16 and a resolution of 1/16, or 0.0625.
Addition and subtraction between equally scaled values are straightforward. Multiplication and division require scaling adjustment before the result is placed back into the selected fixed-point representation.
Overflow in Fixed-Point Arithmetic
A fixed-width binary format can represent only a limited numeric range. A calculation produces overflow when its mathematical result falls outside that range.