Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is d8d7d6d5c8d4d3d2c4d1c2c1, where the data bits and the check bits are given in the following tables: Data bits d8 d7 d6 d5 d4 d3 d2 d1 1 1 0 x 0 1 0 1 c8 c4 c2 c1 Y 0 1 0 Which one of the following choices gives the correct values of x and y?

A linear Hamming code is used to map 4-bit messages to 7-bit codewords. The encoder mapping is linear. If the message 0001 is mapped to the codeword 0000111, and the message 0011 is mapped to the codeword 1100110, then the message 0010 is mapped to

A

0010011

B

1111111

C

1111000

D

1100001

Abeer has 14 novels. Abeer’s friend Sanjay takes 3 of them and gives 2 novels to Abeer. Abeer donates 7 novels but buys 4. Joy takes 4 novels from Abeer and gives him 5. Abeer takes one novel from Sanjay and gives it to Joy in exchange for 3 more. Abeer gives those 3 novels to Sanjay and he gives Abeer a novel and a magazine. Rahul takes the magazine which Sanjay gave to Abeer and gives Abeer a textbook. Abeer gives the textbook to Joy in exchange for a novel. Rahul takes the novel from Sanjay, gives it to Joy for a magazine and gives Abeer the magazine for a novel. How many textbooks does Abeer have?

A

0

B

1

C

2

D

3

Which of the following codes uses a number of parity bits located at certain positions in the codeword and uses the relations between redundancy bits and the data bits?

A

Unicode

B

Morse code

C

Hamming code

D

Baudot code

Five tables T1, T2, T3, T4 and T5 are kept one above the other (Not necessarily in the same order) Number of tables above T4 are same as the number of tables below T5. T3 is just above T1. T5 is at the bottom. There are two tables between T2 and T5. Which of the following is the correct position of T1?

A

T1 is just below T5

B

T2 is two places below T1

C

T1 is just above T5

D

T1 is three places below T2

If one of the code words of a Hamming (7, 4) code is 0001011, which of the following cannot be the valid codeword in the same group?

A

0011101

B

0101100

C

0011010

D

1110100

Four statements followed by three conclusions numbered I, Il and III. You have to assume the given statements to be true even if they seem to be deviate from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts. Statements: All chair are tables. All tables are telephones. All telephones are cell phones. No cell phone is computer. Conclusions: I. All cell phones are tables. II. Some chairs are computers. III. No chair is computer.

A

Only I follows

B

Only II follows

C

Only III follows

D

Only either II or III follows

Three statements are given followed by four conclusions numbered I, II, III and IV. Assuming that the statements are true even if they seem to be at variance from commonly known facts, decide which of the conclusions logically follows from the statements. Statements: 1. All carpets are beds. 2. Some tables are carpets. 3. All pillows are tables. Conclusions: I. All pillows are beds. II. Some pillows are beds. III. Some beds are tables. IV. All tables are beds.

A

Only conclusion III follows.

B

Conclusions I and II both follow.

C

Conclusions II and III both follow.

D

Only conclusion I follows.

Ranjan purchased 120 tables at a price of Rs. 110 per table. He sold 30 tables at a profit of Rs. 12 per table and 75 tables at a profit of Rs. 14 per table. The remaining tables were sold at a loss of Rs. 7 per table. What is the average profit per table ?

A

Rs. 10.04

B

Rs. 10.875

C

Rs. 12.80

D

Rs. 12.875

Statements : Some tables are TVs. Some TVs are radios.

Conclusions :
I. Some tables are radios.
II. Some radios are tables.
III. All radios are TVs.
IV. All TVs are tables.

A

None follows

B

All follow

C

Only I and III follow

D

Only II and IV follow

E

Only I and IV follow

Statements : Some tables are T.V. Some T.V. are radios.

Conclusions :
I. Some tables are radios.
II. Some radios are tables.
III. All the radios are T.V.
IV. All the T.V. are tables.

A

Only (II) and (IV)

B

Only (I) and (III)

C

Only (IV)

D

Only (I) and (IV)

E

None of the four.

1	1	0	x	y	0	1	0	0	1	1	0
B12	B11	B10	B9	B8	B7	B6	B5	B4	B3	B2	B1

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