Lab04_Digital_Arithmetic_design1011

# Lab04_Digital_Arithmetic_design1011 - Lab 4 Page 2 5 A...

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CC2202-Computer System Architecture Lab 4 Page 1 Subject : CC2202 : Computer System Architecture Lab/Tutorial : Session 4 Digital Arithmetic and Design Subject Lecturer : Steven Chan Five Questions: 1) Example: Simplify f = X ´ Y ´ Z ´ + X Y Z + X ´ Y ´ Z + X ´ Y Z 2) For the expression C A ABC D z + + = a. Draw the truth table to show the output of z b. Implement it using ANDs, ORs and INVERTORs; c. Convert to all NAND gates 3) Using appropriate Boolean identities, simplify the following expression with steps and draw the combinational circuit diagram for the simplified expression. C = (A + B)(A’+B’) 4) Use Karnaugh Map to simplify the following boolean expression and express it as Sum-of-product: G = pqrs + pq'rs + pqr's + pqrs' + pq'rs' + pqr's' + p'qrs + p'q'rs Then, based on the simplified expression, draw the combinational circuit diagram.

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CC2202-Computer System Architecture
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Unformatted text preview: Lab 4 Page 2 5) A combinational circuit is used to control a seven-segment display of decimal digits as shown. The circuit has four inputs, which provide the four-bit code used in packed decimal representation (010 = 00002, . .910=10012). The seven outputs a to g define which segments will be activated to display a given decimal digit. For example, when the input is 010 = 00002, the outputs a to f are activated; when the input is 110 = 00012, the outputs b and c are activated; when the input is 210 = 00102, the outputs a , b , d , e and g are activated. (i) Develop a truth table for this circuit for all decimal digits. (ii) Use Karnaugh map to derive an expression for the output a without using don’t care conditions. (iii) Use Karnaugh map to derive an expression for the output a using don’t care conditions....
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## This note was uploaded on 08/18/2011 for the course COMP 3868 taught by Professor Keithchan during the Summer '97 term at Hong Kong Polytechnic University.

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Lab04_Digital_Arithmetic_design1011 - Lab 4 Page 2 5 A...

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