📗 -> 01/15/25: ECS154A-L5
[Lecture Slide Link]
🎤 Vocab
❗ Unit and Larger Context
Small summary
✒️ -> Scratch Notes
| A | A | ||||
|---|---|---|---|---|---|
| 1 | |||||
| 1 | 1 | 1 | D | ||
| C | 1 | 1 | 1 | D | |
| C | 1 | ||||
| B | B |
- With these, you already cover everything. No need for
- With these, you already cover everything. No need for
BCD incrementer
- Binary Coded Decimal
In base 2, you can’t get a tenth. This is a problem for banking applications, as money is base 10.
So, they allocated 4 bits to representing the 10s place, and another four for representing the 100s place. - 0000 1001 = .09
- 0001 0000 = .10
| A | B | C | D | W | X | Y | Z |
|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 1 | |||
| 0 | 0 | 0 | 1 | 1 | |||
| 0 | 0 | 1 | 0 | 1 | 1 | ||
| 0 | 0 | 1 | 1 | 1 | |||
| 0 | 1 | 0 | 0 | 1 | 1 | ||
| 0 | 1 | 0 | 1 | 1 | 1 | ||
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | |
| 0 | 1 | 1 | 1 | 1 | |||
| 1 | 0 | 0 | 0 | 1 | 1 | ||
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | d | d | d | d |
| 1 | 0 | 1 | 1 | d | d | d | d |
| 1 | and | so | on | ||||
| 1 | |||||||
| 1 | |||||||
| 1 |
- Transform BCD pattern into BCD pattern + 1
- Getting 10 as in input is invalid, so we don’t care (d) about its output
- Anything past the italics is invalid
| W | A | A | |||
|---|---|---|---|---|---|
| d | 1 | ||||
| d | D | ||||
| C | 1 | d | d | D | |
| C | d | d | |||
| B | B |
- Don’t care about the outcomes for the d squares, they are invalid (won’t have bit pattern > 10)
- So with that, the minimal expression is
- Using same table methodology:
(the one place switches)
MUX
A multiplexer (MUX) is a combinational circuit that selects one of several input signals and forwards the selected input to a single output line
The bottom are all examples of multiplexers, describing the relationship of input to outputs
2-1 mux
- Combining 2 signals for 1 output
- Multiplexing signals A and B
4-1 mux
8-1 mux
1-hot code
Only one can be high / hot / on at a time
Multiplexer (MUX)
Picks one output?
Built off of the 1-hot code
- Anything AND’ed with 1 is itself, so when its paired with a 1-hot code it will let one signal through at a time
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🔗 -> Links
Resources
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Connections
- Link all related words