Learn: Binary and Addition

Welcome!I've prepared this lesson to help you strengthen your understanding of binary numbers and addition. It's designed to address your growth areas and give you extra practice with key concepts!

What is Binary?Binary is a number system that uses only two digits: 0 and 1. It is the language computers use to process and store information. Each binary digit (bit) represents a power of 2.

Why Do Computers Use Binary?Computers use binary because it is simple to represent electrically: 0 can mean 'off' and 1 can mean 'on'. This makes binary efficient for digital systems.

Binary AdditionBinary addition is similar to denary addition, but it uses only 0 and 1. The key rules are:0 + 0 = 00 + 1 = 11 + 0 = 11 + 1 = 10 (carry 1 to the next column)

How Carrying WorksWhen you add binary numbers and the result exceeds 1, you carry the extra digit to the next column. For example:1 + 1 = 10 (carry 1). Adding 1 + 1 + 1 = 11 (carry 1).

Adding Two Binary NumbersTo add two binary numbers, line them up and add column by column, remembering to carry when necessary.Example: 101 + 011Step-by-step:1 + 1 = 10 (carry 1)0 + 1 + carry = 10 (carry 1)1 + 0 + carry = 10Final answer: 1000

Overflow in Binary AdditionOverflow happens when the result of a binary addition exceeds the number of bits available. For example, if you add 111 + 001 using 3 bits, the result is 1000, which cannot fit in 3 bits.

Review Time!Great work! You've learned about binary numbers, addition rules, carrying, and overflow. Let's test your understanding with a few questions.