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Assignment: Digital Circuits and Systems

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.

B3

B2

B1

B0

Y0

Y1

Y2

Y3

Y4

Y5

Y6

Y7

Y8

Y9













































































































































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

A

B

S

Y

































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

6. 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.

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

a. 10011001 Decimal #
b. 01110100 Decimal #:
c. 10111111 Decimal #: -65

8. Explain the concept of a priority encoder.

9. Perform the following computation using 2's complement notation and binary addition. Please show all your steps.
55 - 21 =

10. 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.

A0

B0

0

Cout

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Attachment:- Assignment.rar

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