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The hexadecimal number 13, expressed as a binary here is?     

Computer Studies
WAEC 2019

The hexadecimal number 13, expressed as a binary here is?     

  • A. 00010011.   
  • B. 00101100.   
  • C. 0010110.        
  • D. 00100100.
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Correct Answer: Option A
Explanation

first, convert 13 in hex to decimal

\(13_{16}\) =  \( 1 \times 16^1 + 3 \times 16^0\) = \(19_{10}\)

next, change 19 in decimal to binary

2 19
2 9 R 1
2 4 R 1
2 2 R 0
2 1 R 0
2 0 R 1

 19 in decimal = 10011 in base 2

\(\therefore\) 13 in hex = 10011 in base 2


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