### Clues

Across1. Binary can be used to store text, sound, instructions and _________. 4. On a cd this area is counted as a zero valuable. 5. Binary data is easy and ________ to read. 8. Eight binary digits 9. CD Drives use a _______ to read cds. 10. A number system consisting of just two statesDown2. The code system used by shipping and telegraphs. 3. Four binary digits 6. One single binary digit 7. The input ________ to a computer system is not very stable. Printable Google Docs Version

**Decimal to Binary Conversion**

Let’s suppose we are trying to find the binary for the **decimal number 75.**

Step 1

### Step 1 – Write the 128 to 1 numbers

Starting on the right hand side, write down the numbers 1, 2,4,8 etc, doubling each time until you reach 128.

**Remember smallest number at the right hand side!!!**

Step 2

### Step 2 – Cross out the unused numbers

Keeping only the numbers that you need to add up to your decimal number, cross out all other numbers.

Step 3

### Step 3 – Write the ones or zeros

Under each number write a 1 if there is a number and a zero if you crossed out the number. Put the numbers all together and you have your binary number!

**Binary to decimal Conversion**

Let’s suppose we are trying to find the decimal for the **binary number 01101011.**

Step 1

### Step 1 – Write the 128 to 1 numbers

Starting on the right hand side, write down the numbers 1, 2,4,8 etc, doubling each time until you reach 128.

**Remember smallest number at the right hand side!!!**

Step 2

### Step 2 – Write the ones and zeros below the numbers

Step 3

### Step 3 – Add up all the numbers with 1s below them to find your decimal number

**Decimal to Binary**

Try converting these decimal numbers to binary!

a. 45

b. 12

c. 111

d. 255

e. 0

**Binary to Decimal**

Try converting these binary numbers to decimal

f. 11101101

g. 00010010

h. 10101010

i. 00101100

j. 10111010

Complete the binary numbers review quiz on QuizMaster

### Worksheet Generator

You can use this online worksheet generator to create more worksheets to practice converting from Denary to Binary and back again!

Binary Worksheet Generator