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# hw3 - Prof M Mansour American University of Beirut...

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Prof. M. Mansour American University of Beirut Department of Electrical and Computer Engineering EECE 320 – Digital Systems Design Summer 2009 Homework 3 (Due Friday July 17 in class) Problem 1 [10 pts] : Design a 4-bit adder logic circuit. First design a logic circuit that adds two bits A 0 and B 0 and a carry in C in0 , and generates a sum bit S 0 and an output carry bit C out0 . Write the minimized Boolean equations of this block. Then use this block to design a circuit that adds A 3 A 2 A 1 A 0 and B 3 B 2 B 1 B 0 . Show all your connections. Problem 2 [10 pts] : Repeat Problem 1, but now for a circuit that subtracts two numbers A 3 A 2 A 1 A 0 and B 3 B 2 B 1 B 0 . Hint: Use the relationship between addition and subtraction in 2’s complement. Problem 3 [10 pts] : Design a circuit that increments a 4-bit number A 3 A 2 A 1 A 0 by 1. Write logic expressions for all outputs, and simplify them as much as you can. Start by designing a 1-bit incrementor circuit using its truth table.

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