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Byju's Answer
Standard XII
Chemistry
Significant Figures
What is 100...
Question
What is
(
1001
)
2
equal to?
A
(
5
)
10
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B
(
9
)
10
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C
(
17
)
10
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D
(
11
)
10
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Solution
The correct option is
C
(
9
)
10
Step 1: Write down the binary number:
1001
Step 2: Multiply each digit of the binary number by the corresponding power of two:
1
×
2
3
+
0
×
2
2
+
0
×
2
1
+
1
×
2
0
Step 3: Solve the powers:
1
×
8
+
0
×
4
+
0
×
2
+
1
×
1
=
8
+
0
+
0
+
1
Step 4: Add up the numbers written above:
8
+
0
+
0
+
1
=
9.
This is the decimal equivalent of the binary number
1001.
Thus we get
(
1001
)
2
equal to
(
9
)
10
.
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