From c5cfc463c84f01401e98ae4d703fd262c44c4dc7 Mon Sep 17 00:00:00 2001 From: arc Date: Fri, 10 Jan 2025 09:27:02 -0700 Subject: [PATCH] vault backup: 2025-01-10 09:27:02 --- .../computer engineering/ECE2700/Binary Logic.md | 11 ++++++++++- 1 file changed, 10 insertions(+), 1 deletion(-) diff --git a/education/computer engineering/ECE2700/Binary Logic.md b/education/computer engineering/ECE2700/Binary Logic.md index 8f7f7d1..8f2c669 100644 --- a/education/computer engineering/ECE2700/Binary Logic.md +++ b/education/computer engineering/ECE2700/Binary Logic.md @@ -8,7 +8,7 @@ A binary NOT gate has a single input, and inverts that input. | --- | --- | | 0 | 1 | | 1 | 0 | -## Boolean Expression +## Mathematical Expression A NOT operation is mathematically expressed using a bar: $$ y = \bar{x} $$ # AND Gate @@ -21,3 +21,12 @@ An AND gate will only output a 1 if *both* inputs are a one. | 0 | 1 | 0 | | 1 | 0 | 0 | | 1 | 1 | 1 | +## Mathematical Expression +An AND operation is mathematically expressed using a times symbol, or with no symbol at all +$$ y = x_1 \cdot x_2 = x_1x_2$$ + +# NAND Gate +A NAND gate outputs a 1 *unless* both inputs are enabled. + +## Truth Table +| \ No newline at end of file