Bits & Bytes

Bits & Bytes

Part 1: Storage and Capacity

Do you know your speed and capacity?

• Know the difference between bytes and hertz

• Understand what capacity and speed measure in what components

• Know the correct size order of bytes and hertz to yotta

Task 1

• Go to OneNote page in Digital Maths called Data Sizes

• Without using the internet...

• ...put them in order from byte to yottabyte

• 5 minutes

Fill in the Blank

How many bits in a byte?

A byte is...

• ...made up of 8 bits

• ...two nibbles

• ...the base unit of capacity

Multiple Choice

What is a processor measured in?

• Hertz

• Bytes

Processors

• ...are measured by how many millions of instructions they can carry out in one second

• so a 3Ghz processor can carry out three thousand million instructions per second

Multiple Choice

Three thousand million is written in numerical form as...

• 3,000,000

• 3,000,000,000

• 3,000,000,000,000

• 3,000

Multiple Choice

Hertz is a measurement of...

• capacity

• speed

Hertz measures...

• how many instructions are carried out per second

• how fast data can travel

Poll

Memory has measurements in bytes and hertz

• True

• False

Memory or RAM is...

• ... measured in bytes for capacity (how much data it can store

• ...measured in hertz for how fast it can transfer data between components

Multiple Choice

Storage has measurements in bytes and hertz

• True

• False

Storage is...

• ..measured in capacity for how much data it can store

• ...measured in hertz for how fast it can transfer data to memopryu

Bits & Bytes

Part 2: Working with large numbers

Working with large numbers

• Be able to write large numbers in digit and word form

• Know how to convert measurements into bytes

• Use standard form to represent large numbers

Task 2

• OneNote page Reading & Writing Large Numbers

• 15 mins - come back here at

Multiple Choice

Is this component storage or memory?

• Storage

• Memory

Multiple Choice

Ryzen is a popular manufacturer of...

• RAM

• Hard drives

• Processors

• SSDs

Back to the big numbers

• How many bytes in a kilobyte?

• How many zeros does it have?

How many bytes in a ...?

• 1 kilobyte - 1,000

• 1 megabyte = 1,000,000

• Notice how many zeros

• Now finish the chart on OneNote - Bytes

• 10 minutes - come back at

Open Ended

What do you notice about the number of bytes in your chart?

3 minutes!!

Standard form

• Used for writing very large numbers (or small)

• Uses powers of 10 to express how big a number is

• Go to your OneNote Bytes task

• Add a column called Standard form (click in the table, click on Table at the top then Insert Right)

Standard form task

• Type 10 in the first column. Count the number of zeros in the number of bytes column and type this next to the 10 without a space

• Select the number 3, click on the Home tab then the V about half way along (font formatting). Choose the middle one

• Do the same for the rest of the column

Multiple Select

n is equivalent to the number of zeros in a number

 $2^n$  

• True

• False

Back to standard form

• Also known as scientific notation

• Written as a x 10ⁿ

• a is a number greater than or equal to 1 and less than 10

• a >= 10 AND < 10

• n can be any positive or negative integer

• EG: 3.1 x 10⁶

Standard form

• Used by scientists when calculating large numbers such as:

• speed of light, distances between galaxies

• Or small numbers, such as the size of bacteria or atoms

• EG: 1.8 x 10^-5

Converting into standard form

• Write 50,000 in standard form

• Split the number into two parts: 5 x 10,000

• The first part (a) must meet the criteria - a >= 10 AND < 10

• The two parts multiplied together must equal the basic number

• So 50,000 = 5 x 10⁴

Poll

What is 800,000 written in standard form?

• 8 x 10⁵

• 80 x 10⁵

• 8 x 10⁴

• 0.8 x 10⁸

Multiple Choice

What is 135,000 written in standard form?

• 13.5 x 10⁴

• 135 x 100²

• 1.35 x 10⁵

• 1.35 x 10⁸

Converting from standard form

• Do the multiplication

• 1.34 x 10^{3 =} 1.34 x 10 x 10 x 10

Multiple Choice

Convert to an ordinary number: 2.99 x 10²

• 29.9

• 299