a 3-input neuron has weights 1, 4 and 3. the transfer function is linear with the constant of proportionality being equal to 3. the inputs are 4, 8 and 5 respectively. what will be the output?
Neuron Output Calculation
A 3-input neuron computes its output using a linear transfer function. Here's the step-by-step breakdown for weights 1, 4, 3 , inputs 4, 8, 5 , and a proportionality constant of 3.
Core Formula
The raw weighted sum is:
z=w1x1+w2x2+w3x3z=w_1x_1+w_2x_2+w_3x_3z=w1x1+w2x2+w3x3
Output y=3zy=3zy=3z (linear scaling).
Step-by-Step Computation
- Input 1 : 1×4=41\times 4=41×4=4
- Input 2 : 4×8=324\times 8=324×8=32
- Input 3 : 3×5=153\times 5=153×5=15
- Sum zzz: 4+32+15=514+32+15=514+32+15=51
- Final output yyy: 3×51=1533\times 51=\boxed{153}3×51=153
The output is 153.
Quick Verification Table
| Input (x) | Weight (w) | w × x |
|---|---|---|
| 4 | 1 | 4 |
| 8 | 4 | 32 |
| 5 | 3 | 15 |
| Total z | 51 | |
| Output y = 3z | 153 |