Convert Decimal, Binary, Hexadecimal, and Octal Numbers
How can you convert a decimal number to binary and hexadecimal?
a) Decimal to binary
b) Decimal to hexadecimal
Conversion Process:
a) To convert a decimal number to binary, use the repeated division-by-2 method and read the remainders in reverse order.
b) To convert a decimal number to hexadecimal, use the repeated division-by-16 method.
Converting decimal numbers to binary and hexadecimal involves specific methods that allow you to represent the numbers in different systems.
Decimal to Binary Conversion:
To convert a decimal number to binary, you can use the repeated division-by-2 method. Divide the decimal number by 2 and write down the remainder. Continue dividing the quotient by 2 until the quotient is 0. Read the remainders in reverse order to obtain the binary representation.
For example, to convert the decimal number 14 to binary:
14 ÷ 2 = 7 remainder 0
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
The binary representation of 14 is 1110.
Decimal to Hexadecimal Conversion:
To convert a decimal number to hexadecimal, you can use the repeated division-by-16 method. Divide the decimal number by 16 and write down the remainder. Continue dividing the quotient by 16 until the quotient is 0. Replace any remainders greater than 9 with their corresponding hexadecimal letters.
For example, to convert the decimal number 256 to hexadecimal:
256 ÷ 16 = 16 remainder 0
16 ÷ 16 = 1 remainder 0
1 ÷ 16 = 0 remainder 1
The hexadecimal representation of 256 is 100.