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Computer Fundamentals · Q1056

Computer fundamental

Computer Related · Computer Fundamentals · question 1056

Q1056

The decimal equivalent of the binary number 11100001111 is

A.
1806
B.
1807
Answer
C.
2806
D.
All of the above
E.
None of the above

Answer: Option B

Solution

Answer: Option B
Solution:
The decimal equivalent of the binary number 11100001111 is 1807. A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).
(11100001111) = 1807
1 × 210 + 1 × 29 + 1 × 28 + 0 × 27 + 0 × 26 + 0 × 25 + 0 × 24 + 1 × 23 + 1 × 22 + 1 × 21 + 1 × 20
= 1024 + 512 + 256 + 0 + 0 + 0 + 0 + 8 + 4 + 2 + 1
= 1807