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10 February, 14:04

Assume 151 and 214 are signed 8-bit decimal integers stored intwo's complement format. Calculate 151 214 using saturating arithmetic. Th eresult should be written in decimal. Show your work.

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  1. 10 February, 15:47
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    The result is - 63

    Explanation:

    First, we discover the Binary value of 151 which is 10010111.

    1 = most significant bit and it represents the sign as negative.

    Two's compliment of 10010111, is calculated by adding 1 to one's compliment. We get 01101001 which is 105 in decimal.

    Therefore the value of A (the first part) is - 105.

    Second, the binary value of 214 = 11010110.

    1 = most significant bit and it represents the sign as negative.

    Two's compliment of 11010110, is calculated by adding 1 to one's compliment. We get 00101010 which is 42 in decimal.

    Therefore, the value of B (the second part) is - 42.

    Simplify further,

    A - B = - 105 - (-42)

    = - 105 + 42

    = - 63

    Therefore, the result is - 63,
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