Explanation Given: Circuit diagram: Let’s consider output of the inputs V 1 , V 2 is V 5 Similarly, output of the inputs V 3 and V 4 is V 6 . Circuit diagram: Figure 1 The entire circuit can be divided into three parts. Now considering the first part, it is knownthat V 1 , V 2 are the inputs. On considering the connection of Diodes,it is known that D 1 , D 2 , D 3 and D 4 are connected in reverse bias. So, taking considerations from the first part, it is concluded that the output, V 5 is low if any one of the inputs, V 1 and V 2 is LOW Hence, if the inputs of circuit are V 1 = V 2 =0 then the output is in LOW state, which means that the diodes are ON. Similarly, if the inputs of circuit are V 1 =0, V 2 =5 V, then the output is in LOW state, which means that D 1 is ON. Similarly, if the inputs of circuit are V 1 =5 V, V 2 =0, then the output is in LOW state, which means that D 2 is ON. Similarly, if the inputs of circuit are V 1 = V 2 =5 V, then the output is in HIGH state, which means that diodes are in OFF. Let’s make the truth table for V 5 from all the above combinations. Table 1 V 1 V 2 V 5 0 0 5 5 0 5 0 5 0 0 0 5 On considering, the Boolean expression for V 5 is, V 5 = V 1 AND V 2 Now, taking considerations from the second part, it is concluded that if any one of the inputs, V 3 and V 4 values is LOW then the output, V 6 is LOW. Hence, if the inputs of circuit are V 3 = V 4 =0, then the output is in LOW state, which means that the diodes are ON. Similarly, if the inputs of circuit are V 3 =0, V 4 =5 V then the output is in LOW state, which means that D 3 is ON. Similarly, if the inputs of circuit are V 3 =5 V, V 4 =0 then the output is in LOW state, which means that D 4 is ON. Similarly, if the inputs of circuit are V 3 = V 4 =5 V then the output is in HIGH state, which means that diodes are in OFF. Let’s make the truth table for V 6 from all the above combinations

MICROELECT. CIRCUIT ANALYSIS&DESIGN (LL)

4th Edition

ISBN: 9781266368622

Author: NEAMEN

Publisher: MCG

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Chapter 2, Problem 2.63P

To determine

The Boolean Expression for VO in terms of the four input voltages for the given circuit.

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MICROELECT. CIRCUIT ANALYSIS&DESIGN (LL)

Ch. 2 - Repeat Example 2.1 if the input voltage is...Ch. 2 - Consider the bridge circuit shown in Figure 2.6(a)...Ch. 2 - Assume the input signal to a rectifier circuit has...Ch. 2 - The input voltage to the halfwave rectifier in...Ch. 2 - Consider the circuit in Figure 2.4. The input...Ch. 2 - The circuit in Figure 2.5(a) is used to rectify a...Ch. 2 - The secondary transformer voltage of the rectifier...Ch. 2 - Determine the fraction (percent) of the cycle that...Ch. 2 - The Zener diode regulator circuit shown in Figure...Ch. 2 - Repeat Example 2.6 for rz=4 . Assume all other...

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The Boolean Expression for V O in terms of the four input voltages for the given circuit.

Solution Summary: The author explains the Boolean expression for VO in terms of the four input voltages for the given circuit.

The Boolean Expression for VO in terms of the four input voltages for the given circuit.

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