PLEASE SOLVE KEEPING IN MIND THAT FOR QUESTION SAKE MY FULL NAME IS: Sarh Alnuaimi

Hamming code is a popular algorithm used in several applications including communication

networks, DRAM, and external storage to detect up to two

$-$

bit errors and correct one

$-$

bit

$-$

errors.

In this assignment, you are required to do the followings.

Section A:

a

$)$

$$Convert the Third letter

$($

Lower case

$)$

$$of your name into an

$8$

$-$

bit ASCII binary number.

This is your data set for this section....

b

$)$

$$Using the Hamming algorithm, determine the binary value of the check bits that would be

$-$

stored in memory along with the data bits. Show how you got your answer. Also append

the check bits @ appropriate positions in your data set. By now, you should have a

$12$

$-$

bit

long data word.

c

$)$

$$Flip D

$6($

data

$-$

$$bit #

$6)$

$$in your data word

$($

obtained in step a

$)$

$$and recalculate the check

bits.

d

$)$

$$Calculate the syndrome bits and explain how will you interpret the syndrome result for

error location. What action will be taken for error correction?

Section B:

a

$)$

$$Convert the Second letter

$($

Upper case

$)$

$$of your surname into an

$8$

$-$

bit ASCII binary

number. This is your data set for this section....

b

$)$

$$Using the Hamming algorithm, determine the binary value of the check bits that would be

$-$

stored in memory along with the data set. Show how you got your answer. Also append

the check bits @ appropriate positions in your data set. By now, you should have a

$12$

$-$

bit

long data word.

c

$)$

$$Flip C

$4($

Check

$-$

$$bit @ position #

$4)$

$$in your data word

$($

obtained in step b

$)$

$$and recalculate

the check bits.

d

$)$

$$Calculate the syndrome bits and explain how will you interpret the syndrome result for

error location. What action will be taken for error correction?

Note: A pre reading

$($

Chapter

$5$

: pages

$176$

$-$

$179)$

$$can be beneficial for these tasks.Hamming code is a popular algorithm used in several applications including communication

networks, DRAM, and external storage to detect up to two$-$bit errors and correct one$-$bit$-$errors.

In this assignment, you are required to do the followings.

Section A:

a$)$ Convert the Third letter $($Lower case$)$ of your name into an $8-$bit ASCII binary number.

This is your data set for this section....

b$)$ Using the Hamming algorithm, determine the binary value of the check bits that would be$-$

stored in memory along with the data bits. Show how you got your answer. Also append

the check bits @ appropriate positions in your data set. By now, you should have a $12-$bit

long data word.

c$)$ Flip D$6($data$-$ bit # $6)$ in your data word $($obtained in step a$)$ and recalculate the check

bits.

d$)$ Calculate the syndrome bits and explain how will you interpret the syndrome result for

error location. What action will be taken for error correction?

Section B:

a$)$ Convert the Second letter $($Upper case$)$ of your surname into an $8-$bit ASCII binary

number. This is your data set for this section....

b$)$ Using the Hamming algorithm, determine the binary value of the check bits that would be$-$

stored in memory along with the data set. Show how you got your answer. Also append

the check bits @ appropriate positions in your data set. By now, you should have a $12-$bit

long data word.

c$)$ Flip C$4($Check$-$ bit @ position # $4)$ in your data word $($obtained in step b$)$ and recalculate

the check bits.

d$)$ Calculate the syndrome bits and explain how will you interpret the syndrome result for

error location. What action will be taken for error correction?

Note: A pre reading $($Chapter $5$: pages $176-179)$ can be beneficial for these tasks.