What are the methods to convert between binary, decimal, octal, and hexadecimal numbers?
Binary to Decimal Conversion
Binary to decimal conversion involves converting binary numbers to their decimal equivalents by grouping binary digits into groups and replacing them with decimal numbers.
Example 1: Convert binary number 1010 to decimal:
1010 in binary is equal to 10 in decimal.
Example 2: Convert binary number 1101101 to decimal:
1101101 in binary is equal to 109 in decimal.
Decimal to Binary Conversion
Decimal to binary conversion involves converting decimal numbers to their binary equivalents by converting each digit to binary and combining them together.
Example 1: Convert decimal number 25 to binary:
25 in decimal is equal to 11001 in binary.
Example 2: Convert decimal number 87 to binary:
87 in decimal is equal to 1010111 in binary.
Binary to Octal Conversion
Binary to octal conversion involves converting binary numbers to their octal equivalents by grouping binary digits into groups and replacing them with octal numbers.
Example 1: Convert binary number 101101 to octal:
101101 in binary is equal to 55 in octal.
Example 2: Convert binary number 11001010 to octal:
11001010 in binary is equal to 312 in octal.
Octal to Binary Conversion
Octal to binary conversion involves converting octal numbers to their binary equivalents.
Example 1: Convert octal number 36 to binary:
36 in octal is equal to 11110 in binary.
Example 2: Convert octal number 127 to binary:
127 in octal is equal to 1011111 in binary.
Binary to Hexadecimal Conversion
Binary to hexadecimal conversion involves converting binary numbers to their hexadecimal equivalents.
Example 1: Convert binary number 11011101 to hexadecimal:
11011101 in binary is equal to DD in hexadecimal.
Example 2: Convert binary number 10101010 to hexadecimal:
10101010 in binary is equal to AA in hexadecimal.
Hexadecimal to Binary Conversion
Hexadecimal to binary conversion involves converting hexadecimal numbers to their binary equivalents.
Example 1: Convert hexadecimal number 3A to binary:
3A in hexadecimal is equal to 111010 in binary.
Example 2: Convert hexadecimal number FFF to binary:
FFF in hexadecimal is equal to 1111111111 in binary.