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Data Representation - Desklib

Welcome to a new session of study at Charles Sturt University. This is the course ITC544 - Computer Organisation and Architecture.

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Added on  2023-06-13

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This document contains solutions to questions related to Data Representation. It includes conversion of numbers from one base to another, finding the smallest and largest numbers in one's and two's complement and signed magnitude, and simplification of logic circuits using De-Morgan's Law.

Data Representation - Desklib

Welcome to a new session of study at Charles Sturt University. This is the course ITC544 - Computer Organisation and Architecture.

   Added on 2023-06-13

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Running head: DATA REPRESENTATION
DATA REPRESENTATION
Name of Student-
Name of University-
Author’s Note-
Data Representation - Desklib_1
1DATA REPRESENTATION
Question 1:
a) Given (152) x= (6A) 16
X2 + (5 * X1) + (2 * X0) = (6 * 161) + (10 * 160)
X2 + 5X + 2 = 106
X2 + 5X - 104 = 0
X2 + 13X - 8X – 104 = 0
X(X + 13) – 8(X + 13) = 0
(X - 8) (X + 13) = 0
X = 8 and X = -13
Therefore, X is 8.
(152)8= (6A) 16
b) i) BED = (B * 162) + (E * 161) + (D * 160)
= 2816 + 224 + 13
= (3053)10
(3053)10 =
Page 1 of 7
Data Representation - Desklib_2
2DATA REPRESENTATION
BED16 = (11012002)3
ii) (321)7 = (3 * 72) + (2 * 71) + (1 * 70)
= (162)10
Again, (162)10 =
(162)10 = (10100010)2
iii) Conversion
Page 2 of 7
Data Representation - Desklib_3

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