What is the result of evaluating the following two expressions using three $$-$$ digit floating point arithmetic with rounding?
$$\eqalign{ & \left( {113. + - 111.} \right) + 7.51 \cr & 113. + \left( { - 111. + 7.51} \right) \cr} $$

In $$2’s$$ complement addition, the overflow

An $$N$$-bit carry look ahead adder, where $$N$$ is a multiple of $$4,$$ employs $${\rm I}cs$$ $$74181$$ ($$4$$bit $$ALU$$) and $$74182$$ ($$4$$ bit carry look ahead generator). The minimum addition time using the best architecture for this adder is

Both’s algorithm for integer multiplication gives worst performance when the multiplier pattern is