The latest articles on DEV Community by Harutyun Martirosyan (@harutyun_martirosyan_c626). https://dev.to/harutyun_martirosyan_c626 https://media2.dev.to/dynamic/image/width=90,height=90,fit=cover,gravity=auto,format=auto/https:%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Fuser%2Fprofile_image%2F2105330%2F0742bd83-2c42-45ca-b0d2-6effc33f8d24.png https://dev.to/harutyun_martirosyan_c626 en Harutyun Martirosyan Sun, 22 Sep 2024 21:23:48 +0000 https://dev.to/harutyun_martirosyan_c626/binary-numbers-mathematical-operations-5287 https://dev.to/harutyun_martirosyan_c626/binary-numbers-mathematical-operations-5287 <h2> <strong>Adding</strong> </h2> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 1010 + 1101 ------- 10111 Explanation: 0 + 1 = 1 1 + 0 = 1 0 + 1 = 1 1 + 1 = 0 (carry 1) 1 + 1 + 1 = 1 (carry 1) </code></pre> </div> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 1001 + 0110 ------- 1111 Explanation: 1 + 0 = 1 0 + 1 = 1 0 + 1 = 1 1 + 0 = 1 </code></pre> </div> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 101 + 11 ------- 1000 Explanation: 1 + 1 = 0 (carry 1) 0 + 1 + 1(carried over) = 0 (carry 1) 1 + 0 + 1(carried over) = 10(with carried 1) </code></pre> </div> <h2> <strong>Subtracting</strong> </h2> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 1010 - 010 ------- 1000 Explanation: 0 - 0 = 0 1 - 1 = 0 0 - 0 = 0 1 - 0 = 1 </code></pre> </div> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 1100 - 0011 ------- 1001 Explanation: 0(becomes 2) - 1 = 1 (borrow 1) 0(becomes 1) - 1 = 0 1 - 0 = 0 1 - 0 = 1 </code></pre> </div> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 10000 - 00101 ------- 10111 Explanation: 0(becomes 2) - 1 = 1 (borrow 1) 0(becomes 1) - 0 = 1 0(becomes 1) - 1 = 0 0(becomes 1)- 0 = 1 1(becomes 0) - 0 = 0 </code></pre> </div> <h2> Multiplying </h2> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 101 x 11 -------- 101 + 101 -------- 1111 Explanation: First column: Second column: Adding columns: 1 * 1 = 1 1 * 1 = 1 101 0 * 1 = 0 0 * 1 = 0 + 101 1 * 1 = 1 1 * 1 = 1 ---- 1111 </code></pre> </div> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 1011 x 101 -------- 1011 + 0000 + 1011 -------- 110111 Explanation: First column: Second column: Third column: Adding columns: 1 * 1 = 1 1 * 0 = 0 1 * 1 = 1 1011 1 * 1 = 1 1 * 0 = 0 1 * 1 = 1 + 0000 0 * 1 = 0 0 * 0 = 0 0 * 1 = 0 + 1011 1 * 1 = 1 1 * 0 = 0 1 * 1 = 1 --------- 110111 </code></pre> </div> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 111 x 111 -------- 111 + 111 + 111 -------- 110001 Explanation: First column: Second column: Third column: Adding columns: 1 * 1 = 1 1 * 1 = 1 1 * 1 = 1 111 1 * 1 = 1 1 * 1 = 1 1 * 1 = 1 + 111 1 * 1 = 1 1 * 1 = 1 1 * 1 = 1 + 111 -------- 110001 </code></pre> </div> <h2> Divison </h2> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 11 ----- 10 | 110 -10 ----- 10 - 10 ----- 00 </code></pre> </div> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 101 ------ 11 | 1111 -11 ------ 1 ------ 11 -11 ------ 00 </code></pre> </div> <div class="highlight js-code-highlight"> <pre class="highlight plaintext"><code> 10 ------ 10 | 100 -10 ------ 00 </code></pre> </div> tutorial beginners career learning