Hysteresis Band Three-Row Scan - Electronic Circuits V: Front-End Conditioning and Gain Contracts Step by Step

Three threshold rows separate lower-bound, in-band hold, and upper-bound decisions. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Below the lower threshold forces LOW

Input 1 volt is below the lower threshold 2 volts, so prior HIGH is replaced by LOW.

1\ \text{V}\le2\ \text{V}\Rightarrow \text{LOW}

Inside the band keeps the prior state

The middle input sits between thresholds 2 and 4, so prior HIGH stays HIGH.

2\ \text{V}<3\ \text{V}<4\ \text{V}\Rightarrow \text{hold HIGH}

Above the upper threshold forces HIGH

Input 5 volts is above the upper threshold 4 volts, so prior LOW becomes HIGH.

5\ \text{V}\ge4\ \text{V}\Rightarrow \text{HIGH}