Twos Complement Exercise
Transcript of Twos Complement Exercise
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7/23/2019 Twos Complement Exercise
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Two's Complement Exercises
Answers:
1.Find the 8-bit two's complement of 26 10
a) write the 8-bit binary representation of 2610
2610= 16 ! 8 ! 2)10= 110102= 000110102
b) switch all the 1's to 0's and 0's to 1's
111001012
c) add 1 in binary notation
1 1 1 0 0 1 0 12! 1
1 1 1 0 0 1 1 02
"herefore# the 8-bit two's complement of 26 10is 111001102$
2$ Find the decimal representation of the two's complement n%mber 110100112
a) find the two's complement of 11010011
1$ switch all 1's to 0's and 0's to 1's & 11010011 001011002
2$ add 1 in binary notation
0 0 1 0 1 1 0 02! 1
0 0 1 0 1 1 0 12
b$ write the decimal representation of 001011012
001011012= 2 ! 8 ! ( ! 1) 10= (10
"herefore# the decimal representation of the two's complement 110100112is -(10$
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