Computer Architecture: Solutions to Questions 1 and 2

Running head: COMPUTER ARCHITECTURE
COMPUTER ARCHITECTURE
Name of Student-
Name of University-
Author’s Note-

1COMPUTER ARCHITECTURE
Answers of Question 1:
a) Determining the value of X:
(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
So, the calculated value for X is 8.
(152)8= (6A) 16
b) Conversions:
i) BED16 conversion to base-3
BED = (B * 162) + (E * 161) + (D * 160)
= 2816 + 224 + 13
= (3053)10
(3053)10 =

2COMPUTER ARCHITECTURE
So, after conversion BED16 = (11012002)3
ii) 3217 converting into 2-base
3217 = (3 * 72) + (2 * 71) + (1 * 70)
= (162)10
Again, (162)10 =
After conversion: (162)10 = (10100010)2