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For Researchers · Binary Adder

Binary Adder for a phase-locked loop

Built for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model. Simulate a phase-locked loop live below — adjust the inputs and watch it respond, right in your browser.

Binary Ripple-Carry AdderLive

how computers add

01010011

+ 00111010

01110010

= 10001101

amber = carry chain

Controls

Presets

A ripple-carry adder chains full-adders: each bit adds A, B, and the carry from the bit below, passing its own carry upward. That carry ripple is why simple adders slow down as they get wider. Educational tool.

▶ Run in Python

Data Inspector

A + B (decimal)83 + 58 = 141

8-bit result10001101

Carry out0

Governing equation

S C_{o u t} = A \oplus B \oplus C_{in} = A B + C_{in} (A \oplus B) = 0

Reading this result: A carry is generated in 4 of the 8 columns, and each one must wait for the column below it — that wait is why wide ripple adders slow down.

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Frequently asked questions

Is this good for researchers?: Yes — this version of "Binary Adder for a phase-locked loop" is framed for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.