Problem

Show that if a, b, and a + b are integers in the range 1 through 128, then (28 − a)...

Show that if a, b, and a + b are integers in the range 1 through 128, then

(28a) + (28b) = (28(a + b)) + 28 ≥ 28 + 27.

Explain why it follows that if the 8-bit binary representation of the sum of the negatives of two numbers in the given range is computed, the result is a negative number.

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