please show work 1. (20 points) Obtain the l\'s and 2\'s complements of the foll

Question

please show work

1. (20 points) Obtain the l's and 2's complements of the following binary numbers: a. 00100000 b. 00000000 d. 10010010 2. (20 points) Convert the following decimal numbers to 8-bit signed 2's complement number representation: a) 39 b) -39 c) 115 d)-90 3. (30 points) Perform subtraction on the given unsigned binary numbers using the 2's complement of the subtrahend. Where the result should be negative, find its 2's complement and affix a minus sign. a. 10010 - 10001 b. 100011 100110 c. 1000- 110101 4. (30 points) Convert decimal +49 and +29 to binary, using the signed-2's-compliment representation and enough digits to accommodate the numbers. Then perform the binary equivalent of (+29)+(-49), (-29)+(+49), and (-29)+(-49). Convert the answers back to decimal and verify that they are correct.

Explanation / Answer

1.

1's complement for a binary number

2's complement for a binary number

a) 00100000

1's complement: 11011111

2's complement: 11011111+1 =11100000

b)00000000

1's complement: 11111111

2's complement: 11111111+1 =100000000

c)11111111

1's complement: 0

2's complement: 0+1 =1

d)10010010

1's complement: 1101101

2's complement: 1101101+1 =1101110

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