How did they arrive at these solutions? The operations of the data-path in the f

Question

How did they arrive at these solutions?

The operations of the data-path in the following figure is described by the ASM chart in Figure 11.14 and depend on the operation code Op_4Op_3Op_2Op_lOp_0. That is: Two 4-bit numbers A(a_3a_2a_1a_0) and B(b_3b_2b_1b_0) are loaded into Registers R_1 and R_2 respectively and an initial carry Op_2 is stored at the flip-flop output Q, Then the contents of R_1 and R_2 are shifted to the right in the following four consecutive clock cycles. In those four clock cycles, the 4-to-1 multiplexer select the carry from the full adder. Determine the arithmetic functions performed for the following live sets of values of Op_4Op_3Op_2Op_1Op_0. Note that the result is stored in R_1. Your answers must be in the form of A+B, A + 1. etc.

Explanation / Answer

1.B-1 means the final result produced by 4 to 1 multiplexer.In this case it perform Q flip flop output with subtracting by1.

2.A-B in this we perform subtract of value of A and value B

3.in this case we perform B-A-1

4. -B-1 in this we perform negative B value with -1

5. In this we add carry

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