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Sign extension means that any given signed number can be represented with more bits by simply...

Sign extension means that any given signed number can be represented with more bits by simply repeating the sign bit. For example, 0005 = +5 and 00005 = +5. This holds true for negative numbers as well. For example, 1011 = -5 and 11011 = -5. Also, 11111011 = -5. Using finite summation notation, prove that sign extension can be applied to any 2's complement binary integer, B, with b number of bits

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