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Number System Sample Question Practice Exercise




Number System Sample Question Practice Exercise For Quiz and Assignment or home work

Digits of different number systems are given below:
Base 32
Base 24
Base 16
Base 10
0
0
0
0
1
1
1
1
2
2
2
2
3
3
3
3
4
4
4
4
5
5
5
5
6
6
6
6
7
7
7
7
8
8
8
8
9
9
9
9
A
A
A

B
B
B

C
C
C

D
D
D

E
E
E

F
F
F

G
G


H
H


I
I


J
J


K
K


L
L


M
M


N
N


O



P



Q



R



S



T



U



V







Q1.                                                                                                                                                                         4.5 Marks
Solve this question without converting the numbers into Base 10
a.       Convert (1110)2 to base-8

001 110
(16)8


b.      Convert (10000101110)2 to base-16
0100 0010 1110
(42E)16
c.       Convert (1111100000111010101)2 to base-32
01111 10000 01110 10101
(FGEL)32
Q2.                                                                                                                                                                         4.5 Marks
a.       Convert (123)9 to base-10
1x92 + 2x91 + 3x90 = 81 + 18 + 3 = (102)10
b.      Convert (12)32 to base-16

1x321 + 2x320 = 32 + 2 = (34)10

34 ÷ 16: quotient = 2, remainder = 2
2 ÷ 16: quotient = 0, remainder = 2
Answer: (22)16

c.       Convert (15)10 to binary
15  ÷ 2 =

quotient
Remainder
15  ÷ 2
7
1
7  ÷ 2
3
1
3  ÷ 2
1
1
Answer: (1111)2
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  • Title : Number System Sample Question Practice Exercise
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  • Date : 06:07
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