2. Design a combinational circuit with three inputs, x, y, and z, and three outputs, A, B, and C. When the binary input represents any of the decimal digits 1, 2, 3, or 6, the binary output should represent the decimal digit that is one greater than the input, that is 2, 3, 4 and 7, respectively. Similarly, when the binary input represents any of the digits 4, or 7, the binary output should represent the digit that is two less than the input. The remaining two inputs, that are the binary representations of the decimal digits 0 and 5 never occur. Draw the truth table, and give all the minimal forms for the functions that represent the outputs A, B, and C.

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
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2. Design a combinational circuit with three inputs, x, y, and z, and three outputs, A, B, and
C. When the binary input represents any of the decimal digits 1, 2, 3, or 6, the binary
output should represent the decimal digit that is one greater than the input, that is 2, 3, 4
and 7, respectively. Similarly, when the binary input represents any of the digits 4, or 7, the
binary output should represent the digit that is two less than the input. The remaining two
inputs, that are the binary representations of the decimal digits 0 and 5 never occur.
Draw the truth table, and give all the minimal forms for the functions that represent the
outputs A, B, and C.
U
Transcribed Image Text:2. Design a combinational circuit with three inputs, x, y, and z, and three outputs, A, B, and C. When the binary input represents any of the decimal digits 1, 2, 3, or 6, the binary output should represent the decimal digit that is one greater than the input, that is 2, 3, 4 and 7, respectively. Similarly, when the binary input represents any of the digits 4, or 7, the binary output should represent the digit that is two less than the input. The remaining two inputs, that are the binary representations of the decimal digits 0 and 5 never occur. Draw the truth table, and give all the minimal forms for the functions that represent the outputs A, B, and C. U
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