### Draw the logic diagram of a 2-bit demultiplexer

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1. Using the 3-variable multiplexer chip of figure, implement a function whose output is the parity of the inputs. That is, the output is 1 if and only if an even number of inputs are 1.

2. The 3-variable multiplexer chip, shown in figure, is actually capable of computing an arbitrary function of Jour Boolean variables. Describe how, and as an example, draw the logic diagram for the function that is 0 if the English word for the truth table row has an even number of letters and 1 if it has an odd number of letters.

3. Draw the logic diagram of a 2-bit demultiplexer, a circuit whose single input line is steered to one of the four output lines depending on the state of the two control lines.

4. Draw the logic diagram of a 2-bit encoder, a circuit with four input lines, exactly one of which is high at any instant, and two output lines whose 2-bit binary value tells which input is high.

5. A common chip is a 4-bit adder. Four of these chips can be hooked up to form a 16-bit adder. How many pins would you expect the 4-bit adder chip to have? Why?

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