{"id":196059,"date":"2025-03-02T08:49:17","date_gmt":"2025-03-02T08:49:17","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=196059"},"modified":"2025-03-02T08:49:20","modified_gmt":"2025-03-02T08:49:20","slug":"design-a-4-bit-4x1-multiplexer-using-four-4x1-multiplexers","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/02\/design-a-4-bit-4x1-multiplexer-using-four-4x1-multiplexers\/","title":{"rendered":"Design a 4-bit 4×1 multiplexer using four 4×1 multiplexers"},"content":{"rendered":"\n

Design a 4-bit 4×1 multiplexer using four 4×1 multiplexers. The output should be a single 4-bit output. I’m attaching my current work. The wiring is wrong and I can’t figure out how to fix it. This is the feedback from instructor: Here is the problem, the designed 4*1 mux (4-bit) is not wired correctly. e.g, you need to assert the first bit of all the inputs to the first mux block (1-bit).<\/p>\n\n\n\n

The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

To design a 4-bit 4×1 multiplexer (MUX) using four 1-bit 4×1 multiplexers, follow these steps:<\/p>\n\n\n\n

    \n
  1. Understanding the Components<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • A 1-bit 4×1 MUX selects one of four 1-bit inputs based on two selection lines (S1 and S0) and outputs the chosen bit.\ue206<\/li>\n\n\n\n
    • A 4-bit 4×1 MUX selects one of four 4-bit inputs, outputting a 4-bit word.\ue206<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Constructing the 4-bit MUX<\/strong>:<\/li>\n<\/ol>\n\n\n\n
          \n
        • Use four 1-bit 4×1 MUXes, each handling one bit of the 4-bit data.\ue206<\/li>\n\n\n\n
        • Connect the selection lines (S1 and S0) to all four MUXes to ensure simultaneous selection across all bits.\ue206<\/li>\n\n\n\n
        • For each MUX, assign the corresponding bit from each 4-bit input to its data inputs.\ue206<\/li>\n<\/ul>\n\n\n\n
            \n
          1. Wiring Details<\/strong>:<\/li>\n<\/ol>\n\n\n\n
              \n
            • Each 4-bit input (D0, D1, D2, D3) consists of four 1-bit inputs (D0[3:0], D1[3:0], etc.).\ue206<\/li>\n\n\n\n
            • Connect D0[0] to the data input of the first MUX, D0[1] to the second, and so on.\ue206<\/li>\n\n\n\n
            • This ensures that when a particular 4-bit input is selected, all its bits are correctly routed through the MUXes.\ue206<\/li>\n<\/ul>\n\n\n\n
                \n
              1. Instructor’s Feedback Addressed<\/strong>:<\/li>\n<\/ol>\n\n\n\n
                  \n
                • By connecting all selection lines to all MUXes and properly assigning data inputs, each MUX operates in unison, selecting the appropriate bit from the chosen 4-bit input.\ue206<\/li>\n<\/ul>\n\n\n\n

                  Explanation<\/strong>:<\/p>\n\n\n\n

                  A multiplexer is a digital switch that selects one of many inputs and forwards it to a single output line. In this design, we aim to construct a 4-bit 4×1 MUX by leveraging four 1-bit 4×1 MUXes. Each 1-bit MUX is responsible for selecting one bit from the four 4-bit inputs based on the selection lines.\ue206<\/p>\n\n\n\n

                  By ensuring that all MUXes share the same selection lines and are correctly wired to handle the corresponding bits, we achieve a synchronized operation where the output reflects the selected 4-bit input across all bits.<\/p>\n","protected":false},"excerpt":{"rendered":"

                  Design a 4-bit 4×1 multiplexer using four 4×1 multiplexers. The output should be a single 4-bit output. I’m attaching my current work. The wiring is wrong and I can’t figure out how to fix it. This is the feedback from instructor: Here is the problem, the designed 4*1 mux (4-bit) is not wired correctly. e.g, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-196059","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/196059","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=196059"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/196059\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=196059"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=196059"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=196059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}