From f7e4f283725df349689c39c26236f399e033d203 Mon Sep 17 00:00:00 2001 From: Daniel Webber Date: Wed, 16 Aug 2023 11:54:27 +0800 Subject: [PATCH] Complete Gray code --- ...to_gray_code.md => binary-to-gray-code.md} | 19 +++++++++++++++--- .../posts/binary-to-gray-code/Gray-Code1.png | Bin 0 -> 22022 bytes .../posts/binary-to-gray-code/Gray-Code2.png | Bin 0 -> 24228 bytes mkdocs.yml | 2 +- 4 files changed, 17 insertions(+), 4 deletions(-) rename docs/blog/posts/{binary_to_gray_code.md => binary-to-gray-code.md} (51%) create mode 100644 docs/blog/posts/binary-to-gray-code/Gray-Code1.png create mode 100644 docs/blog/posts/binary-to-gray-code/Gray-Code2.png diff --git a/docs/blog/posts/binary_to_gray_code.md b/docs/blog/posts/binary-to-gray-code.md similarity index 51% rename from docs/blog/posts/binary_to_gray_code.md rename to docs/blog/posts/binary-to-gray-code.md index 7883e6f..506d315 100644 --- a/docs/blog/posts/binary_to_gray_code.md +++ b/docs/blog/posts/binary-to-gray-code.md @@ -21,10 +21,23 @@ On the first class of SC1005, l was confused about Gray code and l found that ma In short, the advantage of Gray code is that juts one bit changes for each step. ## How to convert Binary to Gray Code? -> Thanks this [link](https://zhuanlan.zhihu.com/p/451408535) for helping me to gain a deeper understanding of Gray code. - ### Things you need to know before starting 1. The [**XOR operation**](https://www.baeldung.com/java-xor-operator) -### +### Binary to Gray code Conversion +1. The Most Significant Bit (MSB) of the gray code is always equal to the MSB of the given binary code. +2. Other bits of the output gray code can be obtained by XORing binary code bit at that index and previous index. + +

+ +### Gray code to Binary Conversion +1. The Most Significant Bit (MSB) of the binary code is always equal to the MSB of the given gray code. +2. Other bits of the output binary code can be obtained by checking the gray code bit at that index. If the current gray code bit is 0, then copy the previous binary code bit, else copy the invert of the previous binary code bit. + +

+ +## Acknowledgement +- [**The definition of Gray Code on Wikipedia**](https://en.wikipedia.org/wiki/Gray_code) +- [**The XOR operation**](https://www.baeldung.com/java-xor-operator) +- [**The conversion between Binary and Gray Code**](https://www.geeksforgeeks.org/gray-to-binary-and-binary-to-gray-conversion/) diff --git a/docs/blog/posts/binary-to-gray-code/Gray-Code1.png b/docs/blog/posts/binary-to-gray-code/Gray-Code1.png new file mode 100644 index 0000000000000000000000000000000000000000..8d0deb65b2556e78010fafe8018dec2e65565d95 GIT binary patch literal 22022 zcmd43hdbBp`v(3tl8i*8?46lNRvIEAPazp4n-rOqJ<3)nBcv!&ip=ayvXe@Zos7y> z_V}Hz&-Zs6zklI(939W`^gO)Zuh)Iw*L9uOd7jrDrhQhOo`#KvL?Y2^oL1E(k;ugH z@72^)_^0afF#d9(T|-q_&;9Y#6SoBB3tzXYFLd>Pj&VIp7o(xVq?}Nzb0S)-iM;H^ z&5d7nC%8Lrc3pV*@3Px}Gc>DgCOXdDl&N?8pZb$WFVxhukz!nbH$Qthva%sHaK_*q zN$-VS->OoF(&x*Uhrhh>I@j+tT{=#!s;aG{qqC1PG<(m9Q>RXi>gupO3=eO4s(isv zR8%y8>Vo;Jj0`$9y`c2eRB2o7|KI=54b9vh``n9fc=!zNrlz_y?6UQ@D`~g+BNE7S 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footnotes