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Converting Hexadecimal to Binary or Decimal Calculator
Hexadecimal to Binary:
Each hexadecimal digit represents 4 bits in binary.
Write down the binary representation for each hexadecimal digit.
Group the binary digits in sets of 4, starting from the right.
If there are any leading zeroes, you can omit them.
Hexadecimal to Decimal:
Each hexadecimal digit represents a power of 16.
Multiply each digit by the corresponding power of 16.
Add up the results to obtain the decimal equivalent.
Let's look at examples for each conversion:
Example 1: Convert Hexadecimal (HEX) to Binary (BIN)
HEX: A7
BIN: 10100111
Explanation:
A = 1010
7 = 0111
Therefore, A7 in hexadecimal is equivalent to 10100111 in binary.
Example 2: Convert Hexadecimal (HEX) to Decimal (DEC)
HEX: C4
DEC: 196
Explanation:
C = 12
4 = 4
12 * 16^1 = 192
4 * 16^0 = 4
192 + 4 = 196
Therefore, C4 in hexadecimal is equivalent to 196 in decimal.
Remember, when converting hexadecimal to binary, assign the corresponding 4-bit binary representation to each hexadecimal digit. When converting hexadecimal to decimal, calculate the decimal value for each digit and sum them up based on their powers of 16.
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