README.md

32-Bit-Floating-Point-Adder

Architecture

Objective

Design a floating point adder that takes two 32 bit single precision floating point input values that come serially with a time difference of 8 clock cycles between two inputs and stores the resultant value into eight RAMs. Perform the addition operation for 8 sets of input values.

Brief Algorithm Description

• We need to add inputs A and B to form Out. Out=A+B
• Here, A and B need to have the same exponents if they are to be added i.e EA=EB.
• EA and EB are fed to the 8 bit subtractor and the borrow if 0 shows A>B and B has to be right shifted.
• The exponent difference (EA-EB) provides us with a measure of the shift required in the lower exponent input.
• Right shift the mantissa of the lower exponent input by the exponent Difference. Thus, both the inputs have the same exponent as a result.
• The final mantissa is taken to be maximum of the exponents of the input and is further incremented depending on the carry of the adder.
• Depending on the carry output of the adder, the final mantissa is right shifted by 1 or 0;
• The final exponent and mantissa are thus calculated.

Directory Description

• Codes directory contains the required modules of 32-bit floating point adder along with the test bench.
  • Modules:
    • FloatingPointAdder.v - Main Module
    • Adder_24Bit.v
    • BarrelShifter.v
    • Complement2s.v
    • ControlledIncrementor.v
    • FullAdder.v
    • FullSubtractor.v
    • HalfAdder.v
    • HalfSubtractor.v
    • Mux.v
    • Mux24.v
    • Mux_8.v
    • Subtractor_8Bit.v
    • Sub_Result.v
    • FIFO.v
  • Test Bench:
    • BC.v

Simulation on Xilinx ISE with Output for BC.v Test Bench

This is a term project for course evaluation of VLSI Laboratory (EC39004) at IIT Kharagpur