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Design a 4-input (A,B,C,D) digital circuit that will give at its output (X) a logic 1 only if there more ones than zeros in the binary number formed at the input

Design a 4-input (A,B,C,D) digital circuit that will give at its output (X) a logic 1 only if there more ones than zeros in the binary number formed at the input

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
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Design a 4-input (A,B,C,D) digital circuit that will give at its output (X) a
logic 1 only if there more ones than zeros in the binary number formed at the input.

(See sample in the second picture)

Designing Combinational Logic Circuits Exercise Example: Design a 4-input (A,B,C,D) digital circuit that will give at its output (X) a logic 1 only if there more ones than zeros in the binary number formed at the input. Inputs Output X = АвсD 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 CD 2 АВ 00 01 11 10 3 1 4 00 01 1 1 11 0 1 0 0 0 1 0 0 1 10 1 0 1 11 1 7 1 1 8 1 10 9 0 1 1 0 0 1 12 1 13 1 10 1 14 | 1 15 1 X = 1 1 1 1 1 А в С D X X
Transcribed Image Text:Designing Combinational Logic Circuits Exercise Example: Design a 4-input (A,B,C,D) digital circuit that will give at its output (X) a logic 1 only if there more ones than zeros in the binary number formed at the input. Inputs Output X = АвсD 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 CD 2 АВ 00 01 11 10 3 1 4 00 01 1 1 11 0 1 0 0 0 1 0 0 1 10 1 0 1 11 1 7 1 1 8 1 10 9 0 1 1 0 0 1 12 1 13 1 10 1 14 | 1 15 1 X = 1 1 1 1 1 А в С D X X
Designing Combinational Logic Circuits Design a 4-input (A,B,C,D) digital circuit that would give at its output (X) a logic 1 only if the binary number formed at the input is between 2 and 9 (including). Inputs Output АвсD A X=(2,3,4,5,6,7,8,9) 00 0 0 0 0 0 0 2 0 0 1 0 0 1 1 1 CD 00 01 11 10 АВ 00 0 0 1 1 3 1 1 1 0 0 1 0 1 0 1 4 1 1 Same 5 1 01 1 1 1 1 1 0 1 1 11 0 00 0o 7 1 1 1 0 0 1 0 0 10 1 0 1 11 10 1 12 1 13 1 14| 1 15 1 1 1 10 1 100 1 1 1 0 0 0 1 1 X- АС + АВ +АВС 1 1 1 0 1 1 1 А в с D
Transcribed Image Text:Designing Combinational Logic Circuits Design a 4-input (A,B,C,D) digital circuit that would give at its output (X) a logic 1 only if the binary number formed at the input is between 2 and 9 (including). Inputs Output АвсD A X=(2,3,4,5,6,7,8,9) 00 0 0 0 0 0 0 2 0 0 1 0 0 1 1 1 CD 00 01 11 10 АВ 00 0 0 1 1 3 1 1 1 0 0 1 0 1 0 1 4 1 1 Same 5 1 01 1 1 1 1 1 0 1 1 11 0 00 0o 7 1 1 1 0 0 1 0 0 10 1 0 1 11 10 1 12 1 13 1 14| 1 15 1 1 1 10 1 100 1 1 1 0 0 0 1 1 X- АС + АВ +АВС 1 1 1 0 1 1 1 А в с D
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