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Ainvert Binvert Operation Carryin 0 Result b Less Set Overflow detection Overflow FIGURE B.5.10 (Top) A 1-bit ALU that performs AND, OR, and addition on
Ainvert Binvert Operation Carryin 0 Result b Less Set Overflow detection Overflow FIGURE B.5.10 (Top) A 1-bit ALU that performs AND, OR, and addition on a and b or b, and (bottom) a 1-bit ALU for the most significant bit. The top drawing includes a direct input that is connected to perform the set on less than operation (see Figure 3.5.11); the bottom has a direct output from the adder for the less than comparison called Set. (See Exercise 3.24 to see how to calculate overflow with fewer inputs.) C.3) Work out the needed hardware to add to the MSB of the ALU shown in figure B.5.10 to add support for the sltu (set on less than unsigned) instruction. a) In the ALU as it currently stands, A - B is carried out by adding the two's complement of B to A. Using algebra, show that if A>=B (with A and B treated as unsigned numbers), adding the two's complement of B to A will always produce a carry out and that if A=B (with A and B treated as unsigned numbers), adding the two's complement of B to A will always produce a carry out and that if A
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