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7 (8 points) For each (sub-)part, do or answer the following: - Show how you would add the two 8-bit binary numbers by filling in

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7 (8 points) For each (sub-)part, do or answer the following: - Show how you would add the two 8-bit binary numbers by filling in each of the blank boxes with a 8 or 1. NOTE1: Addition of 2's complement numbers is done just like the addition of unsigned whole numbers, so you only need to show each addition once. NOTE2: There are 9 blank boxes for the Carry bits and 8 blank boxes for the sum bits. CAUTION: Every blank box should be filled with a or 1 ; if you leave any boxes blank, you risk incurring penalty. - Circle one observation from the list below that is applicable and useful to help determine whether overflow has occurred, if the numbers are unsigned whole numbers and only 8 bits are available for holding the result. CAUTION: There will be penalty for additional observations circled that are not applicable/helpful. - Circle Y or N to indicate your inference on whether overflow has occurred or not (if the numbers are unsigned whole numbers and only 8 bits are available for holding the result) based on the circled observation(s). - Circle two observations from the list below either of which is applicable and useful to help determine whether overflow has occurred, if the numbers are 2 's complement numbers and only 8 bits are available for holding the result. CAUTION: There will be penalty for observations circled that are not applicable/helpful. - Circle Y or N to indicate your inference on whether overflow has occurred or not (if the numbers are 2 's complement numbers and only 8 bits are available for holding the result) based on the circled observation(s). List of observations ( each is in terms of the state(s) of certain bit(s) in 1 or 2 positions - good for hardware implementation): (A) Carry-out is 0 when bits at most-significant-bit position are added. (B) Carry-out is 1 when bits at most-significant-bit position are added. (C) Addends have opposite signs. (D) Addends are both positive, sum is positive. (E) Addends are both positive, sum is negative. ( F ) Addends are both negative, sum is positive. (G) Addends are both negative, sum is negative. (H) Carry-in and carry-out at most-significant-bit position are the same. (I) Carry-in and carry-out at most-significant-bit position are not the same. (i Observation if unsigned: ( A / B / C / D / E/F/G / H/ I ) ( circle only 1) Overflow if unsigned? ( Y/N) Observations if 2 's complement: (A/B/C/D/E/F/G/H/I)( circle exactly 2) Overflow if 2 's complement? ( Y / N ) (1 Observation if unsigned: ( A / B / C / D / E / F/G / H / I ) ( circle only 1 ) Overflow if unsigned (Y/N) Observations if 2 's complement: ( A / B /C/D/E/F/G/H/I)( circle exactly 2) Overflow if 2 's complement? (Y/N) Observation if unsigned: ( A / B / C / D / E / F/G/ H / I ) (circle only 1 ) Overflow if unsigned? (Y/N) Observations if 2 's complement: ( A / B / C / D/E / F/G / H / I ) ( circle exactly 2 ) Overflow if 2 's complement? ( Y/N ) (c Observation if unsigned: ( A / B / C / D / E/F/G/H/I ) (circle only 1 ) Overflow if unsigned? (Y/N ) Observations if 2 's complement: ( A / B / C / D / E / F/G/ H/I ) ( circle exactly 2) Overflow if 2 's complement? ( Y / N )

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