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A four-bit binary number {A, B, C, D}, where A is the most significant digit and D the least significant digit, appears on the input to a combinational logic circuit. Output X indicates whether the number is divisible by 2 without any remainder and output Y indicates if the number is divisible by 3 without remainder. Obtain the sum-of-products logic equations for X and Y with the minimum number of literals. Show the implementation for X and Y. Also implement X using NAND gates only.

A four-bit binary number {A, B, C, D}, where A is the most significant digit and D the least significant digit, appears on the input to a combinational logic circuit. Output X indicates whether the number is divisible by 2 without any remainder and output Y indicates if the number is divisible by 3 without remainder. Obtain the sum-of-products logic equations for X and Y with the minimum number of literals. Show the implementation for X and Y. Also implement X using NAND gates only.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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A four-bit binary number (A, B, C, D), where A is the most significant digit and D the least significant digit, appears on the input to a combinational logic circuit. Output X indicates whether the number is divisible by 2 without any remainder and output Y indicates if the number is divisible by 3 without remainder. Obtain the sum-of-products logic equations for X and Y with the minimum number of literals. Show the implementation for X and Y. Also implement X using NAND gates only.

A four-bit binary number {A, B, C, D}, where A is the most significant digit and D the least significant digit, appears on the input to a combinational logic circuit. Output X indicates whether the number is divisible by 2 without any remainder and output Y indicates if the number is divisible by 3 without remainder. Obtain the sum-of-products logic equations for X and Y with the minimum number of literals. Show the implementation for X and Y. Also implement X using NAND gates only.
Transcribed Image Text:A four-bit binary number {A, B, C, D}, where A is the most significant digit and D the least significant digit, appears on the input to a combinational logic circuit. Output X indicates whether the number is divisible by 2 without any remainder and output Y indicates if the number is divisible by 3 without remainder. Obtain the sum-of-products logic equations for X and Y with the minimum number of literals. Show the implementation for X and Y. Also implement X using NAND gates only.
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