Q6. Four bits are adequate to encode 16 possible messages i.e., Mo.M15. Msg | code || Msg | code 0000 0001 0010 Mo M8 Mg M10 M11 M12 1100 M13 M14 M15 1000 1001 1010 M2 M3 M4 M5 M6 M7 0011 1011 0100 0101 0110 0111 1101 1110 1111 a. Suppose you need to send 38 messages, each of which can be one of the 16 possibilities (as above), On average 75% of the messages is M1, How many bits are required to send those 38 messages? b. Suppose you need to send 50 messages, each of which can be one of the 16 possibilities (as above), On average 20 of the messages are M1, 15 of the messages are Ms and 15 of the messages are M10, How many bits are required to send those 38 messages? c. Suppose you need to send 38 messages, each of which can be one of the 16 possibilities (as above), On average 75% of the messages is M11, How many bits are required to send those 38 messages?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Q6. Four bits are adequate to encode 16 possible messages i.e., Mo.Mı5.
Msg | code
0000
0001
Msg | code
Mo
M3
1000
Mg
M10
1001
M2
M3
M4
1010
1011
1100
0010
0011
0100
M5
M6
M7
M12
M13
M14
M15
0101
1101
0110
0111
1110
1111
a. Suppose you need to send 38 messages, each of which can be one of the 16 possibilities (as above),
On average 75% of the messages is M11, How many bits are required to send those 38 messages?
b. Suppose you need to send 50 messages, each of which can be one of the 16 possibilities (as above),
On average 20 of the messages are M11, 15 of the messages are M6 and 15 of the messages are M10,
How many bits are required to send those 38 messages?
c. Suppose you need to send 38 messages, each of which can be one of the 16 possibilities (as above),
On average 75% of the messages is M11, How many bits are required to send those 38 messages?
Transcribed Image Text:Q6. Four bits are adequate to encode 16 possible messages i.e., Mo.Mı5. Msg | code 0000 0001 Msg | code Mo M3 1000 Mg M10 1001 M2 M3 M4 1010 1011 1100 0010 0011 0100 M5 M6 M7 M12 M13 M14 M15 0101 1101 0110 0111 1110 1111 a. Suppose you need to send 38 messages, each of which can be one of the 16 possibilities (as above), On average 75% of the messages is M11, How many bits are required to send those 38 messages? b. Suppose you need to send 50 messages, each of which can be one of the 16 possibilities (as above), On average 20 of the messages are M11, 15 of the messages are M6 and 15 of the messages are M10, How many bits are required to send those 38 messages? c. Suppose you need to send 38 messages, each of which can be one of the 16 possibilities (as above), On average 75% of the messages is M11, How many bits are required to send those 38 messages?
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