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

c.       Convert (15)10 to binary
15  ÷ 2 =
 quotient Remainder 15  ÷ 2 7 1 7  ÷ 2 3 1 3  ÷ 2 1 1

• Title : Number System Sample Question Practice Exercise
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• Date : 06:07
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