From 5a86cf372a4d6073c26600138b2551a44db1ac7f Mon Sep 17 00:00:00 2001 From: arc Date: Mon, 27 Jan 2025 17:42:39 -0700 Subject: [PATCH] vault backup: 2025-01-27 17:42:39 --- .../ECE2700/Digital Hardware.md | 24 +++++++++---------- 1 file changed, 12 insertions(+), 12 deletions(-) diff --git a/education/computer engineering/ECE2700/Digital Hardware.md b/education/computer engineering/ECE2700/Digital Hardware.md index acd1d61..a30d5d9 100644 --- a/education/computer engineering/ECE2700/Digital Hardware.md +++ b/education/computer engineering/ECE2700/Digital Hardware.md @@ -36,18 +36,18 @@ Repeatedly divide by 2, and track the remainder. As an example, the below table shows how one might convert from $(857)_{10}$ to base 2. -| Equation | Remainder | -| --------------- | --------- | -| $857 / 2 = 428$ | $1$ | -| $428 / 2 = 214$ | $0$ | -| $214 / 2 = 107$ | $0$ | -| $107 / 2 = 53$ | $1$ | -| $53 / 2 = 26$ | $1$ | -| $26 / 2 = 13$ | $0$ | -| $13 / 2 = 6$ | $1$ | -| $6 / 2 = 3$ | $0$ | -| $3 / 2 = 1$ | $1$ | -| $1 / 2 = 0$ | $1$ | +| Equation | Remainder | | +| --------------- | --------- | --- | +| $857 / 2 = 428$ | $1$ | | +| $428 / 2 = 214$ | $0$ | | +| $214 / 2 = 107$ | $0$ | | +| $107 / 2 = 53$ | $1$ | | +| $53 / 2 = 26$ | $1$ | | +| $26 / 2 = 13$ | $0$ | | +| $13 / 2 = 6$ | $1$ | | +| $6 / 2 = 3$ | $0$ | | +| $3 / 2 = 1$ | $1$ | | +| $1 / 2 = 0$ | $1$ | | The final answer is $1101011001$. The least significant bit is the remainder of the first division operation, and the most significant bit is the remainder of the last operation. # Definitions