(F) Addition and Subtraction of Two Numbers in Base Two
1. In the addition of two numbers in base two, the following rules applied:
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02 + 02 = 02
02 + 12 = 12
12 + 02 = 12
12 + 12 = 102
12 + 12 + 12 = 102 + 12 = 112
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2. In the subtraction of two numbers in base two, the following rules applied:
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02 – 02 = 02
12 – 02 = 12
12 – 12 = 02
102 – 12 = 12
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Example 2:
Find the value of each of the following:
(a) 11012 + 1102
(b) 110012 + 101002
(c) 110112 – 11012
(d) 10002 – 1012
Solution:
(a)
(b)
(c)
(d)
Calculator Computation
You may obtain the answer directly from a scientific calculator by pressing:
[MODE] [MODE] [3 (BASE)]
Key in the following:
(a)
[ BIN ] 1101 [ + ] 110 [ = ]
The screen display is: [ 10011 ]
(b)
[ BIN ] 11001 [ + ] 11100 [ = ]
The screen display is: [ 110101 ]
(c)
[ BIN ] 11011 [ – ] 1101 [ = ]
The screen display is: [ 1110 ]
(d)
[ BIN ] 1000 [ – ] 101 [ = ]
The screen display is: [ 11 ]
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