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. 2017 Sep 8;7:10994. doi: 10.1038/s41598-017-11011-8

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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4-bit Ripple Carry Adder (RCA). A 4-bit adder is implemented using 3 Full Adders and a Half Adder. A schematic and a block diagram are shown in (a) and (b). We assign each p-bit a separate retention time τ _N, with a normal distribution shown in the inset. (c,d) When the inputs are clamped to A = 10 to B = 13 the output S is 23. (e,f) In the inverted mode the output S is clamped to 23, resulting in A and B going through all 8 combinations (that can be probed by 4-digit binary inputs A and B) of producing A + B = S = 23.