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JAMB Mathematics 2014 Paper
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© africaexams.com
Question : 1
Total: 47
Find the value of 110111
2
+ 10100
2
1101011
2
1001001
2
1001011
2
1001111
2
Validate
Solution:
Concept:
Binary addition is done column by column, carrying
1
1
1
whenever a column sum reaches
2
2
2
.
Explanation:
Align the numbers and add:
11011
1
2
+
1010
0
2
=
100101
1
2
110111_2 + 10100_2 = 1001011_2
11011
1
2
+
1010
0
2
=
100101
1
2
Check:
11011
1
2
=
5
5
10
110111_2 = 55_{10}
11011
1
2
=
5
5
10
,
1010
0
2
=
2
0
10
10100_2 = 20_{10}
1010
0
2
=
2
0
10
, and
55
+
20
=
75
=
100101
1
2
55 + 20 = 75 = 1001011_2
55
+
20
=
75
=
100101
1
2
.
Answer:
C.
100101
1
2
1001011_2
100101
1
2
© africaexams.com
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