A logic circuit is required to control traffic lights. The circuit consists of two inputs A and B, and three outputs R, Y, and G which control red, yellow and green lights, respectively. The lights will be on (Logic 1) based on the following logic operations: (i) (ii) (iii) R is 1 only when A is 0 AND B is 0, OR A is 0 AND B is 1, Y is 1 only when A is 0 AND B is 1, OR A is 1 AND B is 1, G is 1 only when A is 1 AND B is 0. Draw and fill in the truth table of the logic circuit required. Write down the Boolean expressions for outputs R, Y and G with respect to inputs A and B. Simplify the Boolean expressions. Draw a circuit diagram implementing the Boolean expressions in (ii) using NAND or NOR gates, or both only.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Answer the following questions for all parts: 

A logic circuit is required to control traffic lights. The circuit consists of two
inputs A and B, and three outputs R, Y, and G which control red, yellow and
green lights, respectively. The lights will be on (Logic 1) based on the
following logic operations:
(i)
(ii)
(iii)
R is 1 only when A is 0 AND B is 0, OR A is 0 AND B is 1,
Y is 1 only when A is 0 AND B is 1, OR A is 1 AND B is 1,
G is 1 only when A is 1 AND B is 0.
Draw and fill in the truth table of the logic circuit required.
Write down the Boolean expressions for outputs R, Y and G with
respect to inputs A and B. Simplify the Boolean expressions.
Draw a circuit diagram implementing the Boolean expressions in (ii)
using NAND or NOR gates, or both only.
Transcribed Image Text:A logic circuit is required to control traffic lights. The circuit consists of two inputs A and B, and three outputs R, Y, and G which control red, yellow and green lights, respectively. The lights will be on (Logic 1) based on the following logic operations: (i) (ii) (iii) R is 1 only when A is 0 AND B is 0, OR A is 0 AND B is 1, Y is 1 only when A is 0 AND B is 1, OR A is 1 AND B is 1, G is 1 only when A is 1 AND B is 0. Draw and fill in the truth table of the logic circuit required. Write down the Boolean expressions for outputs R, Y and G with respect to inputs A and B. Simplify the Boolean expressions. Draw a circuit diagram implementing the Boolean expressions in (ii) using NAND or NOR gates, or both only.
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