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NDA Math Binary Numbers
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© examsnet.com
Question : 9
Total: 13
If
(
11101011
)
2
is converted to decimal system, then the resulting number is
[NDA I 2015]
235
175
160
126
Validate
Solution:
The given binary number can be converted to decimal using following steps
(
11101011
)
2
1
1
1
0
1
0
1
1
2
7
2
6
2
5
2
4
2
3
2
2
2
1
2
0
128
64
32
16
8
4
2
1
N
=
(
128
×
1
)
+
(
64
×
1
)
+
(
32
×
1
)
+
(
0
×
16
)
+
(
1
×
8
)
+
(
0
×
4
)
+
(
1
×
2
)
+
(
1
×
1
)
=
128
+
64
+
32
+
8
+
2
+
1
=
192
+
43
=
235
∴
N
=
235
© examsnet.com
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