Convert base 10 numerals to binary numbers - JSS1 Mathematics Lesson Note

Converting from decimal (base 10) to binary (base 2) involves repeatedly dividing the decimal number by 2 and recording the remainders. The remainders, read in reverse order, give the binary representation. For example, converting decimal 13 to binary:

Decimal 13:

13 ÷ 2 = 6 remainder 1

 6 ÷ 2 = 3 remainder 0

 3 ÷ 2 = 1 remainder 1

 1 ÷ 2 = 0 remainder 1

Binary: 1101

These concepts are fundamental in understanding binary arithmetic and its applications in computing and digital electronics.