Respuesta :
Answer:
-128
Explanation:
[tex](151)_{10}[/tex]
We have to convert this decimal number into the binary number
[tex](10010111) _{2}[/tex]
Performing the 2's complement number so we have to subtract 1 from this
[tex]10010111 -1 \\=(10010110)_{2}[/tex]
Now to getting the original number we have to complement the previous number it means convert 1 ->0 and 0 -> 1
[tex](10010110)_{2} ---->(01101001)_{2}[/tex]
The previous number is converted binary to decimal we get ,
[tex](01101001)_{2}=(105) _{10}[/tex]
-105(According to the rule of 2's complement )
Similarly same process will apply on the [tex](214)_{10}[/tex]
We have to convert this decimal number into the binary number
[tex](11010110)_{2}[/tex]
Performing the 2's complement number so we have to subtract 1 from this
[tex]11010110 - 1 =(11010101)_{2}[/tex]
Now to getting the original number we have to complement the previous number it means convert 1 ->0 and 0 -> 1
[tex](11010101)_{2}---------> (00100101)_{2}[/tex]
The previous number is converted binary to decimal we get ,
[tex](00100101)_{2}------->(42)_{10}[/tex]
-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
