July 2002
Intermediate to advanced
320 pages
8h 15m
English
Content preview from Hacker's Delight
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13-2. Incrementing a Gray-Coded Integer
The logic for incrementing a 4-bit binary integer abcd can be expressed as follows, using Boolean algebra notation:
Thus, one way to build a Gray-coded counter in hardware is to build a binary counter using the above logic, and convert the outputs a′, b′, c′, d′ to Gray by forming the exclusive or of adjacent bits, as shown under “Gray from Binary” in Figure 13-1.
A way that might be slightly better is described by the following formulas:
That is, the general case is
Because the parity p alternates between ...
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O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.