Check sibling questions

Convert following to hexadecimal numbers.

(a) 525 10

(b) 101101 2  

 

Answer:

  • 525 10    

Converting Decimal 525 (Base 10) into Hexadecimal (Base 16) - Teachoo.jpg

Therefore, 525 10 = 20D 16

Explanation:

  • Repeatedly divide the decimal number by 16 until the quotient becomes less than 16 and record all the remainders. The remainders should be written bottom to upwards to get the hexadecimal equivalent of the decimal number.
  • Here,
  • 10 = A
  • 11 = B
  • 12 = C
  • 13 = D
  • 14 = E
  • 15 = F

b. 101101 2

00 10

1101

2

D

Therefore, 101101 2 = 2D 16

Explanation:

  • To obtain the Hexadecimal equivalent of a binary number, digits of binary number should be divided into groups of four digits starting from the rightmost digit for the integer part and starting from the leftmost digit for the fractional part.
  • Convert each group of 4 digits to one hexadecimal digit as given in the table below.
  • Note: 1,2 or 3 zeroes can be added before the leftmost digit or after the rightmost digit to make a complete group of 4 bits.

Decimal, Binary And Hexadecimal Numbers - Full Comparison - Teachoo.jpg

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.