Essentials Of Computer Organization And Architecture 6th Edition Linda Null, Julia Labur - Solutions

Assume a 24-bit word on a computer. In these 24 bits, we wish to represent the value 295 a) How would the computer represent the decimal value 295? b) If our computer uses 8-bit ASCII and even parity, how would the computer represent the string 295? c) If our computer uses packed BCD with zero
Assume we wish to create a code using 3 information bits, 1 parity bit (appended to the end of the information), and odd parity. List all legal code words in this code. What is the Hamming distance of your code?
Suppose we are given the following subset of code words, created for a 7-bit memory word with 1 parity bit: 11100110, 00001000, 10101011, and 11111110. Does this code use even or odd parity? Explain.
Compute the Hamming distance of the following code 0011010010111100 0000011110001111 0010010110101101 0001011010011110
Compute the Hamming distance of the following code 0000000101111111 0000001010111111 0000010011011111 0000100011101111 0001000011110111 0010000011111011 0100000011111101 1000000011111110
Are the error-correcting Hamming codes systematic? Explain.
In defining the Hamming distance for a code, we choose to use the minimum (Hamming) distance between any two encodings. Explain why it would not be better to use the maximum or average distance.
Suppose we want an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 10 a) How many parity bits are necessary? b) Assuming we are using the Hamming algorithm presented in this chapter to design our error-correcting code, find the code word to
Suppose we want an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 12. a) How many parity bits are necessary? b) Assuming we are using the Hamming algorithm presented in this chapter to design our error-correcting code, find the code word to
Suppose we are working with an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 7. We have already calculated that we need 4 check bits, and the length of all code words will be 11. Code words are created according to the Hamming algorithm
Suppose we are working with an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 12. We have already calculated that we need 5 check bits, and the length of all code words will be 17. Code words are created according to the Hamming algorithm
Find the quotients and remainders for the following division problems modulo 2 a) 10101112 + 11012 b) 10111112111012 10110011012 10101₂ d) 1110101112+ 10111₂ ÷
When would you choose a CRC code over a Hamming code? A Hamming code over a CRC?
Find the quotients and remainders for the following division problems modulo 2 a) 11110102 10112 b) 10101012 ÷ 1100₂ c) 11011010112+ 101012 d) 11111010112 ÷ 101101₂
Find the quotients and remainders for the following division problems modulo 2 ÷ 100112 a) 110010012 + 11012 b) 1011000₂ 111010112 101112 d) 111110001₂ ÷ 10012 ÷
Find the quotients and remainders for the following division problems modulo 2 a) 1001111211012 b) 1011110₂1100₂ c) 10011011102 + 110012 d) 111101010₂ 10011₂ ÷
Using the CRC polynomial 1011, compute the CRC code word for the information word 1011001. Check the division performed at the receiver.
Using the CRC polynomial 1101, compute the CRC code word for the information word 01001101. Check the division performed at the receiver.
Using the CRC polynomial 1101, compute the CRC code word for the information word 1100011. Check the division performed at the receiver.
We have seen that floating-point arithmetic is neither associative nor distributive. Why do you think this is the case?
Pick an architecture (such as 80486, Pentium, Pentium IV, SPARC, Alpha, or MIPS). Do research to find out how your architecture approaches the concepts introduced in this chapter. For example, what representation does it use for negative values? What character codes does it support?

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