Do Digital Signals Really Transmit More Information Than Analog Signals?

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Digital signals are often perceived as having an advantage over analogue signals due to their ability to transmit information in discrete pulses, allowing for closer placement of these pulses. However, both digital and analogue signals can carry the same amount of information; the difference lies in their encoding and decoding methods. The effectiveness of transmission is influenced by factors such as bandwidth, signal-to-noise ratio, and modulation techniques, rather than solely the type of signal used. The claim that digital signals inherently carry more information than analogue signals is misleading and oversimplifies the complexities of communication channels. Ultimately, the choice between digital and analogue depends on specific communication requirements and constraints.
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I found the following on the Edexcel Website:

GCSE Specimen Paper
Paper 4H
Physics A [1540]
URL http://www.edexcel.org.uk/VirtualContent/18085.pdf

Question 1(b)(ii) “Digital signals have an advantage over analogue signals since more information can be sent over the cable. Explain this.”

Answer “An explanation to include: very short time interval between pulses; lots can be placed close together.”

Is this right?
I've re-read Nyquist, Shannon, Hartley and Turing and I can't find anything like this. Surely the cable IS an analogue communication channel.

If I send two identical signals down two identical channels.
Both look like digital data. I view one as analogue and the other as digital. Apparently, I get more information out of the identical digital one!

I rushed to my Physics textbook:
Physics for AQA
Separate Award Edition.
Published by Heinemann
ISBN 0 435 584 219

only to find on page 52,

“Second, a particular cable, optical fibre or carrier wave is able to carry more information if it is transmitted as a digital signal than if it is transmitted as an analogue signal.”

This surely is rubbish too.

I thought there was simple catch-all rule in Physics: "You get nothing for nothing." Apparently in GCSE Physics you can.

Comments? Am I cracking up?
 
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Your analysis is correct. The statement that digital signals have an advantage over analogue signals because more information can be sent over the cable is not entirely accurate. In fact, both digital and analogue signals can carry the same amount of information. The difference lies in how the information is encoded and decoded.

In digital communication, the information is converted into a series of discrete numbers (bits) and transmitted as a series of pulses. This allows for more efficient use of the communication channel as the pulses can be placed closer together. However, in analogue communication, the information is transmitted as a continuous wave, which can also carry a lot of information.

Furthermore, the statement also assumes that the cable is the limiting factor in communication, which is not always the case. Other factors such as bandwidth, signal-to-noise ratio, and modulation techniques can also affect the amount of information that can be transmitted.

In conclusion, it is not accurate to say that digital signals have an advantage over analogue signals in terms of carrying more information. Both have their strengths and weaknesses, and the choice of which to use depends on the specific communication needs and limitations.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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