Computer Architecture - Solved Questions and Answers

Running head: COMPUTER ARCHITECTURE
Computer Architecture
Name of Student-
Student ID-
Subject Code-
Assessment Item Number-
Assessment Name-

1COMPUTER ARCHITECTURE
Answers for Question 1:
a) X value:
Given Question, (152) x= (6A) 16
So, to find the value of X the procedure is
 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, determined value for X is 8.
The equation can be written in the form (152)8= (6A) 16
b) Conversions:
i) BED16 to base-3
The decimal value of BED = (B * 162) + (E * 161) + (D * 160)
= 2816 + 224 + 13
= (3053)10
(3053)10 =
Page 1 of 7

2COMPUTER ARCHITECTURE
So, after converting to base-3 (BED)16 = (11012002)3
ii) 3217 to base-2
(321)7 = (3 * 72) + (2 * 71) + (1 * 70)
= (162)10
Again, (162)10 =
After converting (162)10 to binary is (10100010)2
iii) (1235)10 to octal number
Page 2 of 7