Binary Numbers Unveiled: Understanding the Transition from Binary to Decimal

Binary uses powers of 5, decimal uses powers of 10

Binary uses powers of 2, decimal uses powers of 10

Binary uses powers of 10, decimal uses powers of 2

Binary uses powers of 10, decimal uses powers of 5

1010

1100

1001

1111

The fours place

The eights place

The ones place

The twos place

Add all the bits together

Multiply each bit by its place value and sum the results

Subtract the bits from each other

Convert each bit to a decimal digit

3

9

5

7

Sixteen

Two

Four

Eight

128

85

170

255

4

6

10

8

It is easier for humans to understand

It is easier for computer hardware to store

It requires fewer digits than decimal

It allows for more complex calculations

They are used for complex mathematical operations

They form the foundation of all computing systems

They are used to represent text data

They are used to store images