Digital Logic 8 Bit Full Adder Circuit

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SUMMARY

The discussion centers on designing a 16-bit adder circuit using two 8-bit full adders and additional logic gates. Participants clarify that the goal is to combine the two 8-bit full adders to create a single 16-bit adder, which includes two 16-bit inputs and one 16-bit output, along with a carry-out bit. The conversation highlights the importance of understanding the differences between full adders and half adders, as well as the necessity of incorporating NAND and NOR gates in the design process. The participants also reference the textbook "Essentials of Computer Architecture" by Douglas Comer for foundational knowledge.

PREREQUISITES
  • Understanding of 8-bit full adders
  • Knowledge of half adders and their functions
  • Familiarity with logic gates, specifically NAND and NOR gates
  • Basic concepts of digital circuit design
NEXT STEPS
  • Research the design of 16-bit adders using Verilog or VHDL
  • Study the differences between full adders and half adders in digital circuits
  • Explore practical applications of NAND and NOR gates in circuit design
  • Examine block diagrams of multi-bit adder circuits for better visualization
USEFUL FOR

Students and professionals in electrical engineering, computer architecture, and anyone involved in digital circuit design, particularly those working with adders and logic gates.

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Homework Statement
We are given two 8-bit full adders, we must create a circuit that will add 2 16-bit numbers.
Relevant Equations
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I am unsure of how to approach this problem, we begin with two 8-bit full adders, is the goal to just combine them in some way so that it becomes one entire circuit while also adding NAND and NOR gates where necessary? By the end will we then have 16 1-bit full adders?
 
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How are you "given" them? As block diagrams, as gate-level circuits, as Verilog or VHDL code?

Can you show what you are given, and then comment on what a 16-bit adder looks like when you search for it on Google Images?
 
I read this as a circuit that has two 16 bit inputs and a single 16 bit output (plus a carry out bit, I guess?) that is the sum of the inputs. Your job is too design that circuit primarily using two 8 bit full adders plus simple logic if needed.

I don't think 16 1 bit adders are the same as 1 16 bit adder.
 
Last edited:
berkeman said:
How are you "given" them? As block diagrams, as gate-level circuits, as Verilog or VHDL code?

Can you show what you are given, and then comment on what a 16-bit adder looks like when you search for it on Google Images?
In the textbook that I'm reading Essentials of Computer Architecture by Douglas Comer a half-adder is shown with an or gate and an and gate, however for the practice questions we're given, we were now told one 8-bit full adder which can be drawn as a block is sufficient, not individual 1-bit adders which I just learned right now, so I may have a better understanding now by just learning this and have to somehow connect the two using NAND and NOR gates.
 
What is the difference between a full adder and a half adder? How do you think this could help combine 2 full adders together?
You do not need any extra gates
 
DaveE said:
I don't think 16 1 bit adders are the same as 1 16 bit adder.
Nor do I...
 

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