1. CODING

Suppose the following Messages are source encoded given by the table.

MESSAGE

ENCODED BITS

UP

00

DOWN

01

LEFT

10

RIGHT

11

1. Complete the given table by writing the source encoded message of the following directions.

SET OF DIRECTIONS

SOURCE OF ENCODING

LEFT-UP-RIGHT-DOWN

UP-DOWN-RIGHT-LEFT

UP-DOWN-LEFT-RIGHT

RIGHT-LEFT-RIGHT-UP

LEFT-RIGHT-UP-DOWN

1. DECODE THE SET OF DIRECTIONS

MESSAGE RECEIVED

DECODED MESSAGE

10010011

01010010

11000110

01100111

00101111

• ENCODE THE FOLLOWING MESSAGES USING THE GIVEN MESSAGE AND THE VALUE OF r.

Source of Encoding

r

Channel Encoding

101

2

100

3

001

2

011

2

110

3

1V. Decode the following messages that encounter noises in the channel where the channel encoding uses repetition code where K=3.

1. 101101011100110 -
2. 010010001010011 -
3. 111110110010100 -
4. 100100001010010 -
5. 101111101111110 -

1. Arithmetic Modulo
2. Verify if the Congruence are True or False
3. 419 (mod3) -
4. 320 (mod3) -
5. 933 (mod 4) -
6. 520 (mod4) -
7. 1130 (mod5)-

1. Solve the following Least Residue
2. 50 (mod 3) -
3. 25 (mod 4) -
4. 55 (mod 7) -
5. 34 (mod4) -
6. 75 (mod 5) -

1. CRYPTOGRAPHY

Encrypt the following Messages/ Words using the indicated method.

Using Cypher Shift of 4 to right.

1. See you at the Cafeteria -
2. MODERN WORLD
3. I LOVE MATHS
4. OUR LADY OF FATIMA UNIVERSITY
5. MATHEMATICS

Decrypt the following cipher text, having 12 shift to the RIGHT.

1. TQXXA IADXP-
2. U MY FTQ AZQ-
3. XAHQ KAG YADQ-
4. RADQHQD
5. UEMMO ZQIFOZ