Data Logic Representation - Desklib

Running head: DATA LOGIC REPRESENTATION
Data Logic Representation
Name of Student-
Student ID-
Subject Code-
Assessment Item Number-
Assessment Name-

1DATA LOGIC REPRESENTATION
Answer for 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
Since, X cannot be negative; so X is 8
(152)8= (6A) 16
b) i) BED = (B * 162) + (E * 161) + (D * 160)
= 2816 + 224 + 13
= (3053)10
(3053)10 =
Divider Dividend Remainder
3 3053 2
3 1017 0
3 339 0
3 113 2
Page 1 of 8

2DATA LOGIC REPRESENTATION
3 37 1
3 12 0
3 4 1
1
BED16 = (11012002)3
ii) (321)7 = (3 * 72) + (2 * 71) + (1 * 70)
= (162)10
So, (162)10 =
Divider Dividend Remainder
2 162 0
2 81 1
2 40 0
2 20 0
2 10 0
2 5 1
2 2 0
1
(162)10 = (10100010)2
iii) Conversion
Page 2 of 8