Hexadecimal to Binary Conversion Method
This method converts each hexadecimal digit to its 4-bit binary equivalent, facilitating accurate and easy conversion of entire hexadecimal numbers to binary format.
Individual Digits: Break down the hexadecimal number into individual digits.
Binary Equivalents: Use the conversion table to replace each hexadecimal digit with its 4-bit binary equivalent.
Combine: Concatenate the 4-bit binary sequences to form the final binary number.
Convert hexadecimal A47E5 to binary.
Hexadecimal: A = Binary: 1010
Hexadecimal: 4 = Binary: 0100
Hexadecimal: 7 = Binary: 0111
Hexadecimal: 5 = Binary: 0101
Combine the binary equivalents: 1010 0100 0111 1110 0101
The hexadecimal number A47E5 is equivalent to binary 10100100011111100101
Convert the hexadecimal number 45D2.A6 to binary.
Hexadecimal: 4 = Binary: 0100
Hexadecimal: 5 = Binary: 0101
Hexadecimal: D = Binary: 1101
Hexadecimal: 2 = Binary: 0010
. (Decimal point remains the same in binary)
Hexadecimal: A = Binary: 1010
Hexadecimal: 6 = Binary: 0110
Combine the binary equivalents:
Integer part: 4 5 D 2 = 0100 0101 1101 0010
Fractional part: A 6 = 1010 0110
The binary equivalent of the hexadecimal number 45D2.A6 is:
0100010111010010.10100110