Bin to hexa.22to23

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Bin to hexa.22to23

  1. 1. Conversions of binary number tohexadecimal, Conversions ofhexadecimal to binary http://improvec.blogspot.in/ 1
  2. 2. ObjectiveOn completion of this period, you would be able to know Conversion of a binary number to hexa decimal Conversion of a hexa decimal number to binary http://improvec.blogspot.in/ 2
  3. 3. Recap Conversions of binary number to decimal http://improvec.blogspot.in/ 3
  4. 4. Prerequisite Representation of Binary system Representation of Hexadecimal system Relationship between Binary and Hexadecimal http://improvec.blogspot.in/ 4
  5. 5. BINARY TO HEXADECIMAL http://improvec.blogspot.in/ 5
  6. 6. Conversion of a binary number to hexadecimal numberMETHOD 1As base16 = 24, to convert a binary number to hexadecimal 4-bit binary groups (each group contains 4 binary bits) are formed in the binary number After forming the groups, each group of 4 binary bits is converted to its hexadecimal number http://improvec.blogspot.in/ 6
  7. 7. 1.Convert the binary number 01101110 to its equivalent hexadecimalDivide the given binary number into 4-bit binary groups(01101110)2 = (0110) (1110) = 6E (hex) (01101110)2=(6E)16 http://improvec.blogspot.in/ 7
  8. 8. 2.Convert the binary number 1101001101 to its equivalent hexadecimal  Forming of groups of 4-bits from right hand side to left (1101001101)2 = (11) (0100) (1101)  We see that the group of the most significant binary bits contains only 2 binary bits http://improvec.blogspot.in/ 8
  9. 9. Convert the binary number 1101001101 to its equivalent hexadecimal (contd) This can be extended to 4 binary bits by adding zeros in MSB position If MSBs are extended by adding zeros the number remains unaffected (1101001101)2 = (0011) (0100) (1101) = 34D (hex) http://improvec.blogspot.in/ 9
  10. 10. 3. Convert the binary number 1011100.1000101 to its equivalent hexadecimal The formation of grouping of binary bits which are after the binary point, is made from left to right 1011100.1000101 = (101)(1100).(1000)(101) = (0101)(1100).(1000)(1010) = 5C.8A (hex) http://improvec.blogspot.in/ 10
  11. 11. Conversion of a binary number to hexadecimal numberMETHOD 2 First convert a binary number to decimal number Then convert the decimal number so obtained to hexadecimal number http://improvec.blogspot.in/ 11
  12. 12. 1.Convert the binary number 101101 to its equivalent hexadecimal101101 = 1*25 + 0*24 + 1*23 +1*22 + 0*21 +1*20 = 32 + 0 + 8 + 4 +0 + 1 = (45)10 http://improvec.blogspot.in/ 12
  13. 13. Convert the binary number 101101 to its equivalent hexadecimal (contd)Now convert 45 into hexadecimal number. division remainder 16 45 16 2 13 = D 0 2 (45)10 = (2D)16 Thus (101101)2 = (45)10 = (2D)16 http://improvec.blogspot.in/ 13

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