What is the hexadecimal equivalent of this binary number (1110)2?
- A.F
- B.B
- C.A
- D.E
Correct answer
Explanation
The correct answer is D, E. Hexadecimal has base 16, and because 2 raised to the power 4 equals 16, exactly four binary bits make one hexadecimal digit. The given number 1110 is already a group of four bits, so it converts in one step. Its place values are 8, 4, 2 and 1, and the bits are 1, 1, 1 and 0, so the decimal value is 8 + 4 + 2 + 0, that is 14. In hexadecimal the decimal values 10 to 15 are written as the letters A to F, so 10 is A, 11 is B, 12 is C, 13 is D, 14 is E and 15 is F. Fourteen is therefore E. Option A is wrong because F stands for 15, whose binary form is 1111. Option B is wrong because B stands for 11, that is 1011. Option C is wrong because A stands for 10, that is 1010.
Read the full article: Number Systems and Data Representation in Computers
Practice Questions
View allThe 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.
Read the full explanation →One kilobyte (KB) is exactly equal to how many bytes?
- A.1000
- B.1024
- C.2048
- D.512
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Storage units in computing grow in powers of two rather than powers of ten, because addresses are binary. One kilobyte is 2 raised to the power 10 bytes, which equals 1024 bytes.
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