Number System Conversion addition subtraction Sample Question For Quiz and assignment online Introduction to computing
Q1.
a.
Convert (1110.01)2 to base-10
1x23 + 1x22 + 1x21 + 0x20 +
0x2-1 + 1x2-2
8+4+2+0+0+(1/4) = (14.25)10
b.
Convert (10.101)10 to base-2
Integer
Part
10/2 = 5, 0
5/2 = 2, 1
2/2 = 1, 0
(10)10 = (1010)2
|
Factor
0.101 x 2 = 0.202
0.202 x 2 = 0.404
0.404 x 2 = 0.808
0.808 x 2 = 1.616
|
(10.101)10
= (1010.0001)2
c.
Convert (71.2)8 to base-10
7x81 + 7x80
+ 7x8-1
56 + 1 + 0.25 = 57.25
Q2.
a.
Perform the following addition
(AE9)16 + (F)16
= (AF8)16
b.
Perform the following subtraction
(1111111)2 – (111)2 = (1111000)2
c.
Perform the following addition
(231)4
+ (12)4 = (303)4
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