Hexa to binary

1. http://improvec.blogspot.in/ 1 Conversion of a hexadecimal number to a binary number METHOD 1 First it should be converted to its equivalent decimal number Then convert the decimal number so obtained to its binary equivalent

2. http://improvec.blogspot.in/ 2 METHOD 2 Each digit of the given hexadecimal number should be converted to its 4-bit binary equivalent

3. http://improvec.blogspot.in/ 3 1.Convert the hexadecimal number ABC to its equivalent binary number METHOD 1 (ABC) 16 = A *16 2 + B*16 1 + C*16 = 10 *256 + 11*16 + 12*1 = 2560 + 176 + 12 = (2748) 10 (1010 1011 1100) 10

4. 4 Now converting this decimal into binary Division Remainders 2 2748 2 1374 0 2 687 0 2 343 1 2 171 1 2 85 1 2 42 1 2 21 0 2 10 1 2 5 0 2 2 1 2 1 0 2 0 1 Thus (ABC) 16 = (2748) 10 = (101010111100) http://improvec.blogspot.in/

5. http://improvec.blogspot.in/ 5 METHOD 2 A 16 = (10) 10 = (1010) 2 2 10 B 16 = (11) 10 = (1011) 2 2 5 0 C 16 = (12) 10 = (1100) 2 2 2 1 2 1 0 0 1 (10) 10 = (1010) 2 (ABC) 16 = ( 1010 1011 1100 ) 2

6. http://improvec.blogspot.in/ 6 2. Convert the hexadecimal number 6B9 to its equivalent binary number Each digit of the given hexadecimal number is converted to its 4-bit binary equivalent (6B9) 16 = (0110) (1011)(1001) = (011010111001) 2 = (011010111001) 2

7. http://improvec.blogspot.in/ 7 3. Convert the hexadecimal number 6D.3A to its equivalent binary number Each digit of the given hexadecimal number is converted to its 4-bit binary equivalent (6D.3A) 16 = (0110) (1101) . (0011) (1010) =(01101101.00111010) 2 =(1101101.0011101) 2

8. http://improvec.blogspot.in/ 8 Summary In this class, you have learnt about Conversions of binary number to hexadecimal Conversions of hexadecimal to binary number

9. http://improvec.blogspot.in/ 9 Frequently Asked Questions Explain how to convert a binary number to equivalent hexadecimal Explain how to convert a hexa decimal number to equivalent binary

10. http://improvec.blogspot.in/ 10 Quiz The binary equivalent of (ABC) a. 1010 1011 1100 b.1010 1100 1100 c. 1011 1010 1101 Answer: a