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Boolean operators

#1
01-23-2023, 10:18 AM
You twist signals with these operators daily. I show you how AND works first. Both inputs need to spark true. Then output fires up. But OR lets any one do it. You flip things with NOT always. And that changes the whole path. Or you combine them for XOR. Perhaps that helps in comparisons. Now you build bigger circuits easily.
I notice you catch on fast when we chat about hardware flows. These ops sit at the heart of every gate setup. You link them to create adders that crunch numbers quick. But mixing AND with OR sparks carry bits in processors. I tried sketching one on paper once and it clicked right away. You see decisions branch based on true or false results. Or flags get set in the unit handling logic. Perhaps errors pop if a NOT flips wrong. Then the whole instruction stalls mid cycle. Also complex units rely on these for select lines.
Your CPU runs smoother thanks to clever gate combos. I watch signals race through layers of these mixes. You get multiplexers choosing paths via OR twists. But AND gates block unwanted flows during reads. Or you layer NOTs to invert controls fast. Perhaps memory access speeds up that way. Now adders grow from basic pairs into full units. I recall testing small boards and seeing outputs match predictions. You adjust inputs and watch results shift instantly. And errors teach you more than perfect runs ever could.
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ProfRon
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Boolean operators - by ProfRon - 01-23-2023, 10:18 AM

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Boolean operators

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