Accumulator of Bfloat16

In this lab we are required to build a hardware model for accumulation of a sequence of Bfloat16 values and implement it on the lab board.Here we assume all values are positive and no overflow will occur. Each input
Value is set by the switches and the accumulative result for each new input is displayed on the LED array.

Since we have a bottom to make operation compute, we may need a FSM. Intuitively, we will only need 2 state “idle & compute”.

Accumulator

In order to make accumulation for 2 Bfloat16 number we have the following number.
We have the following steps.

1. Extract Component
   Extract the current number to 2 field: Exponent & Fraction.(Since no need for sign bits since all positive)
   

   exp_a <= a(14 downto 7);
   frac_a <= a(6 downto 0);

   
   If Exponent part is 0, then this number is 0;
   
   

   a_is_Zero <= '1' when unsigned(exp_a) = 0 else '0';

2.  Align Frac Field
   

3. third