No.1 Using the 3-variable multiplexer chip of figure 3.12 (pp. 161 in the textbook 1, 6/e), 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. No.2 The 3-variable multiplexer chip, shown in figure 3-12 (pp. 161 in the textbook 1, 6/e), 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. No.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. No.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. No.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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