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Data Representation and Digital Logic Assessment

   

Added on  2020-05-16

8 Pages695 Words87 Views
Running head: DATA REPRESENTATION AND DIGITAL LOGIC
Data Representation and Digital Logic
Name of Student-
Student ID-
Subject Code-
Assessment Item Number-
Assessment Name-
Data Representation and Digital Logic Assessment_1
1DATA REPRESENTATION AND DIGITAL LOGIC
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 8
Data Representation and Digital Logic Assessment_2
2DATA REPRESENTATION AND DIGITAL LOGIC
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 8
Data Representation and Digital Logic Assessment_3

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