1- The block diagram shown below represents the hardware that implements the following microoperations: R1 Complementer 0 LT R2 Adder Where Rland R2 are two n-bit registers and a, b, and c are control variables. Include the logic gates for the control functions and multiplexer inputs and outputs. (Remember that the symbol + designates an OR operation in a control or Boolean function but it represents an arithmetic plus in a microoperation.) a- Simplify the control statements for the complementer, adder and the load input (L); Complementer - (b(a +b+c(a+b+c) The simplified complementer expression- Adder-(a'b'ctab'c)L. The simplified adder expression- L-(b(a+b+c)(a'+b'+c) + a'b'c+ ab'c) The simplified expression for L- The selection multiplexer switch is S =