The binary equivalent of octal number 627 is:
- A.111010110
- B.110010110
- C.110010111
- D.011010111
Correct answer
Explanation
The correct answer is C, 110010111. Octal has base 8, and because 2 raised to the power 3 equals 8, every octal digit expands into exactly three binary bits. Take the digits of 627 one at a time. The digit 6 becomes 110, the digit 2 becomes 010 and the digit 7 becomes 111. Writing them in the same order gives 110 010 111, that is 110010111. A quick check works the other way: grouping 110010111 in threes from the right gives 110, 010 and 111, which read back as 6, 2 and 7. Option A is wrong because 111010110 reads as 7, 2 and 6, which is octal 726. Option B is wrong because 110010110 ends in 110 and so reads as 626. Option D is wrong because 011010111 reads as 3, 2 and 7, that is octal 327.
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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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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