This document discusses two methods for converting hexadecimal numbers to binary numbers. Method 1 involves first converting the hexadecimal number to decimal, and then converting the decimal to binary. Method 2 involves converting each hexadecimal digit directly to its 4-bit binary equivalent. Examples are provided to demonstrate converting individual hexadecimal numbers and portions of numbers to binary.
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
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2. METHOD 2
Each digit of the given hexadecimal number should be
converted to its 4-bit binary equivalent
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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
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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
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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
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8. Summary
In this class, you have learnt about
Conversions of binary number to hexadecimal
Conversions of hexadecimal to binary number
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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
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10. Quiz
The binary equivalent of (ABC)
a. 1010 1011 1100
b.1010 1100 1100
c. 1011 1010 1101
Answer: a
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