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Showing posts with the label Boolean equations

Designing Exclusive OR gate

An Ex-OR gate has two or more inputs and a single output. The definition of the Ex-OR gate states that if and only if one of the input is 1 then the output is 1. The structure of the Ex-OR gate is shown below. The truth table for a two-input Ex-OR gate is shown below. You will notice that when only one of the inputs is 1 only then the output is 1. Since we have already designed AND, OR and NOT gates using diodes and transistors. We will be using these basic gates to build the Ex-OR gate. You can go through the tutorials on AND , OR and NOT gates by clicking on the links. An Ex-OR gate can be built in two ways. Let us define the boolean equation for an Ex-OR gate. As per the definition if A = 1 or B = 1 but not simultaneously then, Y = 1. Therefore, Remember 'bar' above the equation represents NOT operation. This boolean equation can be represented by the following diagram. We can also interpret the definition in another way i.e. if A = 1 and B = 0 o...