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Binary weighted
Binary Weighted Explained A binary weighted system is a type of digital system that uses weights or coefficients to determine the output value of an A/D...
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Binary Weighted Explained A binary weighted system is a type of digital system that uses weights or coefficients to determine the output value of an A/D...
A binary weighted system is a type of digital system that uses weights or coefficients to determine the output value of an A/D converter. This approach allows for more precise and accurate conversion compared to pure binary weighted systems, which use fixed weights regardless of the input value.
How it works:
The input signal is converted into a weighted binary representation. Each bit in the binary representation is assigned a specific weight based on its position.
These weights are then combined using Boolean logic operations (AND, OR, NOT) to form the final output value.
The weights can be adjusted to control the sensitivity and resolution of the converter. For example, a higher weight on higher-order bits will result in greater precision but may introduce more noise.
Advantages of binary weighted systems:
Increased accuracy and precision compared to pure binary weighted systems.
Can achieve higher resolution by adjusting weights.
Can handle non-uniform signals by using different weights for different parts of the signal.
Example:
Consider a 4-bit weighted A/D converter with the following weights:
Bit 1: 0.5
Bit 2: 1.0
Bit 3: 1.5
Bit 4: 2.0
When the input signal is 1101, it is converted into the weighted binary representation:
Bit 1: 0.5 (low weight)
Bit 2: 1.0 (normal weight)
Bit 3: 1.5 (high weight)
Bit 4: 2.0 (high weight)
This weighted representation is then combined to give the final output value of 5.
By adjusting the weights, it is possible to achieve different levels of accuracy and resolution for different applications