From 6753a707467c30accff7c8e8c4c6a10d0db4dcfc Mon Sep 17 00:00:00 2001 From: Spencer Date: Thu, 15 Aug 2024 17:28:44 +0900 Subject: [PATCH] auto commit via obsidian-git: 2024-08-15 17:28:44 Affected files: content/A biquinary counter was used for simplified error checking in electromechanical computers.md content/attachments/Pasted image 20240815172229.png --- ...checking in electromechanical computers.md} | 17 ++++++++--------- .../Pasted image 20240815172229.png | Bin 0 -> 165092 bytes 2 files changed, 8 insertions(+), 9 deletions(-) rename content/{A biquinary counter is a mod-5 counter with a toggling top-bit every 5th count.md => A biquinary counter was used for simplified error checking in electromechanical computers.md} (69%) create mode 100644 content/attachments/Pasted image 20240815172229.png diff --git a/content/A biquinary counter is a mod-5 counter with a toggling top-bit every 5th count.md b/content/A biquinary counter was used for simplified error checking in electromechanical computers.md similarity index 69% rename from content/A biquinary counter is a mod-5 counter with a toggling top-bit every 5th count.md rename to content/A biquinary counter was used for simplified error checking in electromechanical computers.md index f8a43546aa23a..a04824bb867cb 100644 --- a/content/A biquinary counter is a mod-5 counter with a toggling top-bit every 5th count.md +++ b/content/A biquinary counter was used for simplified error checking in electromechanical computers.md @@ -1,24 +1,23 @@ --- -title: A biquinary counter is a mod-5 counter with a toggling top-bit every 5th count +title: A biquinary counter was used for simplified error checking in electromechanical computers date: 2024-02-22 -description: +description: When using the 74LS90 BCD decade counter for the first time I was wondering why they had two separate counters in side, a mod-2 counter and a mod-5 counter tags: - electronics slug: draft: false math: false --- - -Biquinary counting is another way to represent decimal (base-10) digits using a pair of binary (base-2) and quinary (base-5) digits. BCD counters like the 74LS90 separate out the mod-2 and mod-5 counters to allow the user to wire the counter in output modes of binary-coded-decimal counter (typical) or biquinary-coded-decimal (amongst others). - -#todo add video of biquinary counter leds - biquinary **:** of, based on, being, or relating to a mixed-base system of numbers in which each decimal digit _n_ is represented as a pair of digits _xy_ where _n_ = 5 _x_ + _y_ and _x_ is written in base 2 (binary) as 0 or 1 and _y_ is written in base 5 (quinary) as 0, 1, 2, 3, or 4. -In digital electronics, this manifests as a count-to-5 3-bit counter with a 4th top bit toggling every 5th count (so two cycles of 5 counts). This can also be thought of as a decade counter. See the second heading below for the state table. +Biquinary counting is another way to represent decimal (base-10) digits using a pair of binary (base-2) and quinary (base-5) sections. The first section represents the switch between 0-4 and 5-9 and the section represents 0-4. + +This was used in relay-based computers to make error checking easier for the encoded decimal value - as seen below there must always be a single active digit in both the upper and lower sections. +![](attachments/Pasted%20image%2020240815172229.png) +Moving to digital electronics, we can use just 4 bits, with the top bit being the 0-4/5-9 switch and the bottom three bits representing 0-4 (000, 001, 010, 011, 100, 101). -| Note in digital electronics we represent the quinary (base-5) digit as a 3-bit value from `000` to `100`. In other cases the full 5 digits are used. +BCD counters like the 74LS90 separate out the mod-2 and mod-5 counters to allow the user to wire the counter in output modes of binary-coded-decimal counter (typical) or biquinary-coded-decimal (amongst others). ## Standard Decade Counter with a 74LS90 diff --git a/content/attachments/Pasted image 20240815172229.png b/content/attachments/Pasted image 20240815172229.png new file mode 100644 index 0000000000000000000000000000000000000000..9f6eed38138f9fcf56baa90e7fdc807f69f372e2 GIT binary patch literal 165092 zcmeFZgJMfOIQJDIhg82!hhxFsO8Qmvjs>NX-BP z`0aVmd(QbCJ?9VjzUzaFYY(tz?`N-Pt$W?8CPMYO?5*n$ujAn0+>)1rsNvucfN*f| zs|l|He?fmzK>-I`H#J#FoYFyxZQvI#OC5PDWo4Wvz-vMr0$fs@E7((jZyel*I0S#a z#=%j*ee|!_YPd{)pM!^k6K0Ep|Mxk1z!Ccu3;Y1@{`-iRjrY$p2te6a{`nfe8hh&Q zxR()dAbKgM>xP3vPLKV;l~<$t3H*`57NVj79D$o)zwoe^XZptxc#Z25JYF(OjDsVN zBM*_#@WS0~K|}A#rhfi)!RRroG`B4}H)j3W8nfGVqE z;^TKAWQ)Eea+0KSUXPxd}i^g7qL=Fe^jD(nx 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