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# Hexa to binary

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### Hexa to binary

1. 1. Conversion of a hexadecimal number to a binary numberMETHOD 1 First it should be converted to its equivalent decimal number Then convert the decimal number so obtained to its binary equivalent http://improvec.blogspot.in/ 1
2. 2. METHOD 2Each digit of the given hexadecimal number should be converted to its 4-bit binary equivalent http://improvec.blogspot.in/ 2
3. 3. 1.Convert the hexadecimal number ABC to its equivalent binary number METHOD 1 (ABC)16 = A *162 + B*161 + C*160 = 10 *256 + 11*16 + 12*1 = 2560 + 176 + 12 = (2748)10 (1010 1011 1100)10 http://improvec.blogspot.in/ 3
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 1Thus (ABC)16 = (2748)10 = (101010111100) http://improvec.blogspot.in/ 4
5. 5. METHOD 2A16 = (10)10 = (1010)2 2 10B16 = (11)10 = (1011)2 2 5 0C16 = (12)10 = (1100)2 2 2 1 2 1 0 0 1 (10)10 = (1010)2(ABC)16 = ( 1010 1011 1100 )2 http://improvec.blogspot.in/ 5
6. 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 http://improvec.blogspot.in/ 6
7. 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 http://improvec.blogspot.in/ 7
8. 8. SummaryIn this class, you have learnt about Conversions of binary number to hexadecimal Conversions of hexadecimal to binary number http://improvec.blogspot.in/ 8
9. 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 http://improvec.blogspot.in/ 9
10. 10. Quiz The binary equivalent of (ABC) a. 1010 1011 1100 b.1010 1100 1100 c. 1011 1010 1101Answer: a http://improvec.blogspot.in/ 10