Visualizing Data with 7-Segment Displays

Displaying numbers is trickier than I expected! In this video we explore how to visualize the data inside of our simulated 4-bit registers, with the help of the double dabble algorithm and some seven segment displays.

Series playlist:    • Exploring How Computers Work  
Simulation tool (work in progress): https://sebastian.itch.io/digital-log...
Source code: https://github.com/SebLague/Digital-L...
Support the channel:   / sebastianlague  

Correction for a mistake in my boolean algebra explanation:    • Boolean Algebra Correction  

Resources and Inspiration:
https://en.wikipedia.org/wiki/Double_...
https://electronics.stackexchange.com...
https://pdf1.alldatasheet.com/datashe...

Music:
https://github.com/SebLague/Misc-Proj...

Chapters
0:00 Intro
0:49 Two’s Complement Refresher
1:34 Seven-Segment Display + Truth Table
2:58 Boolean Algebra Basics
5:43 Simplifying the Equation
6:48 Converting Algebra to Logic Gates
8:33 Computer-Assisted Design
11:25 Testing the Digit Display Design
12:36 A Real-World Version (the 74LS248)
14:20 Visualizing the Data in a 4-bit Register
15:14 All Ten Digits
17:22 Binary Coded Decimal
19:49 The Double Dabble Algorithm
22:58 Dabbling with Logic Gates
24:05 Implementing Double Dabble
26:39 Displaying an 8-bit Number
27:18 Ripple Blanking
29:32 Displaying Negative Numbers
32:34 Testing the Final Design
33:50 Outro