ECET-230 – Digital Circuits and Systems Homework Assignment #2

Name:

1.      When a HIGH is on the output of the decoding circuit below, what is the binary code appearing on the inputs? 

2.     

A 7-segment decoder/driver drives the display below. Using the waveforms shown, determine the sequence of digits that appear on the display. 

3.      Construct a truth table for an active-LOW output BCD (1-of-10) decoder.

4.

Derive the truth table for the Y output in the diagram below.

4.      Derive the Boolean equation for the Y output in Problem 4.
AS’B+ AS’B’ +AS’B + ASB

5.     

For the multiplexer shown below, determine the output for the following input state:
D0 = 0, D1 = 1, D2 = 1, D3 = 0, S0 = 1, S1 = 0.

6.      Determine the decimal value of each signed binary number in the 2’s complement form:

a. 10011001                                              Decimal #
b. 01110100                                              Decimal #:
c. 10111111                                              Decimal #:

7.      Explain the concept of a priority encoder.

8.      Perform the following computation using 2’s complement notation and binary addition.  Please show all your steps.

55 – 21 =

9.        Will the following circuit function properly as a half-adder?  You may wish to fill out a truth table to compare it to that of the half-adder.