The decimal equivalent of the binary number 11001 is:
- A.21
- B.23
- C.25
- D.27
Correct answer
Explanation
The correct answer is C, 25. To convert a binary number to decimal, write the place values from the right as 1, 2, 4, 8, 16 and so on, multiply each bit by its place value and add the results. The number 11001 has five bits, so the place values from left to right are 16, 8, 4, 2 and 1, and the bits are 1, 1, 0, 0 and 1. The sum is 16 + 8 + 0 + 0 + 1, which equals 25. Option A is wrong because 21 in binary is 10101. Option B is wrong because 23 in binary is 10111. Option D is wrong because 27 in binary is 11011. A useful check is that a binary number ending in 1 is always odd and one ending in 0 is always even, which immediately rules out any even option here.
Read the full article: Number Systems and Data Representation in Computers
Practice Questions
View allWhat is the hexadecimal equivalent of this binary number (1110)2?
- A.F
- B.B
- C.A
- D.E
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Hexadecimal has base 16, and because 2 raised to the power 4 equals 16, exactly four binary bits make one hexadecimal digit.
Read the full explanation →The binary equivalent of octal number 627 is:
- A.111010110
- B.110010110
- C.110010111
- D.011010111
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Octal has base 8, and because 2 raised to the power 3 equals 8, every octal digit expands into exactly three binary bits.
Read the full explanation →(1101 0001)2 binary number is same as which octal number?
- A.(321)8
- B.(123)8
- C.(641)8
- D.(146)8
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To turn a binary number into octal, group the bits in threes starting from the rightmost bit, adding leading zeros to complete the last group, because three bits cover the eight octal digits.
Read the full explanation →The difference between the two binary numbers 10010000 and 1111001 is:
- A.11101
- B.11011
- C.10111
- D.10011
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The safest way to handle a binary subtraction in an examination is to convert both numbers to decimal, subtract, and convert the answer back.
Read the full explanation →How many bits make one nibble?
- A.2
- B.4
- C.8
- D.16
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A bit, short for binary digit, is a single 0 or 1 and is the smallest unit of data a computer handles.
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