a) Perform the floating point addition.
b) Draw an SM chart for a floating-point adder that adds F₁ x 2^E1 and F₂ x 2^E2. Assume that the fractions are initially normalized (or zero) and the final result should be normalized (or zero). A zero fraction should have an exponent of -8. Set an exponent overflow flag (EV) if the final answer has an exponent overflow. Each number to be added consists of a 4-bit fraction and a 4-bit exponent, with negative numbers represented in 2’s complement. Assume that all registers (F₁, E₁, F₂, and E₂) can be loaded in one clock time when a start signal (St) is received. If E₁ > E₂, the control signal GT = 1, and if E₁ < E₂, the control signal LT = 1. Define all other control signals used. Include the special case where |E₁ - E₂| > 3.