Question

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

Answer #1

1a) 0xCAFE can be written in decimal (base 10) as:
1b)
The decimal number -94 can be expressed (in 8 bits)
Using signed magnitude representation as:
Using one's complement representation as:
Using two's complement representation as:
Using excess-M representation (with the appropriate value of M)
as:
1c)
Using the simple floating point model (1-bit sign, 5-bit biased
exponent, and 8-bit significand), the number -0.125 (decimal) can
be expressed as:
(Do not use spaces or any English text. Provide only the...

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