Help with problems 12 and 3 What are the decimal values of e

Help with problems 1,2 and 3

What are the decimal values of each of the following binary numbers if you interpret them as 2\'s complement integers? 1111 1111 0000 1010 1111 1111 1101 1111 0111 1111 1101 1111 0101 0101 0101 0101 Add your answers in hw1.txt. Take the same bit patterns from problem 1 and interpret them as the following representations. Provide their value as decimal numbers. Unsigned Sign Magnitude 1\'s complement Biased Add your answers to hw1.txt. For each of the bit lengths and number representations below, list the binary encodings and values of the possible numbers closest to +infinity and to -infinity. (For each of the three parts to this question, you will provide two binary strings and two corresponding decimal numbers.) A nibble (4 bits) using two\'s compliment. A byte using sign-magnitude. A byte using one\'s compliment. Add your answers to hw1.txt

Solution

a.

1111 1111 0000 1010 Let\'s change them into from 2\'s complement to binary.

Let\'s take 1\'s complement first 0000 0000 1111 0101 now add 1 in the resultant value

So, binary value will be 0000 0000 1111 0111. and the decimal equivalent value of 0000 0000 1111 0111 is 247.

b.

let\'s calculate 2\'s complement of 1111 1111 1101 1111. In order to find 2\'s complement let\'s calculate 1\'s complement 0000 0000 0010 0000 just add 1. 0000 0000 0010 0001 and decimal equivalent of 0000 0000 0010 000 is 33.

c.

2\'s complement of 0111 1111 1101 1111 is.

1000 0000 0010 0000 and let\'s add 1. 1000 0000 0010 0001

Decimal equivalent of 1000 0000 0010 0001 is 32801.

d.

2\'s complement of 0101 0101 0101 0101 is

1010 1010 1010 1011 and decimal equivalent of 1010 1010 1010 101 is 21845.