Assume 151 and 214 are signed 8-bit decimal integers stored in two’s complement format. Calculate 151 + 214 using saturating arithmetic. The result should be written in decimal. Show your work

-128

Explanation:

We have to convert this decimal number into the binary number

Performing the 2's complement number so we have to subtract 1 from this

Now to getting the original number we have to complement the previous number it means convert 1 ->0 and 0 -> 1

The previous number is converted binary to decimal we get ,

-105(According to the rule of 2's complement )

Similarly same process will apply on the

We have to convert this decimal number into the binary number

Performing the 2's complement number so we have to subtract 1 from this

Now to getting the original number we have to complement the previous number it means convert 1 ->0 and 0 -> 1

The previous number is converted binary to decimal we get ,

-42(According to the rule of 2's complement )

Therefore the result is

151 + 214

=(-105 + (-42)

=-147

Hence the -147 is smaller then -128 that is smaller 8 bit signed integer is Therefore result is : -128

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