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$

7/23/2019 Twos Complement Exercise

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