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How make OR gate project

1. Definitions The OR gate is an electronic device which receives two inputs each in the form of a binary digit, that is 0 or 1, and produces a binary digit as output, depending upon the values of the two inputs. It is represented by the symbol shown in Figure 5.5. A and B are the two inputs, and F is the single output. As high (1) or low (0) voltages are applied to A and B various possible outputs are achieved, these being de ned by means of a truth table as shown in Table 5.3. So, for example, if a low (0) voltage is applied to A and a high (1) voltage is applied to B, the output is a high (1) voltage at F. We note that a ‘1’ appears in the right-hand column of the truth table whenever A or B takes the value 1, hence the name OR gate. We use the symbol + to represent OR. Because it connects the variables A and B, OR is known as a logical connective.We shall meet other logical connectives shortly. This connective is also known as a disjunction, so that A + B is said to b...

Exercise 5.4 in Engineering Mathematics book

2. Write Boolean expressions for the output from the devices shown in Figure 5.21. Ans:                    3. Design electronic devices which produce the following outputs: Ans:  5. Use truth tables to verify that the following pairs of expressions are logically equivalent: Ans : 7.  Simplify the following Boolean expressions using the laws of Boolean algebra: Ans: 10. Derive Boolean expressions and truth tables for the  circuits shown in Figure 5.22. Ans: 11. Simplify the following Boolean expressions using  Boolean algebra: Ans: 12. The truth values of the Boolean expression, X, are  given in the following tables. Write X in disjunctive  normal form.  Use the laws of Boolean algebra to  simplify your expressions. Ans: ...

The laws of set algebra & Laws derivable >> in the table 5.1 & 5.2 :

Ans :       Commutative laws                             Ans:          Associative laws Ans:         Distributive laws       Ans:            Identity laws Ans:         Complement laws Ans:          Absorption laws Ans:         Minimization laws Ans:         De Morgan’s laws