Saturday, 10 November 2018 Binary

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Presentation transcript:

Saturday, 10 November 2018 Binary LO: To be able to Identify the purpose of binary and demonstrate the ability to perform simple conversions from denary to binary. Success Criteria: I can identify the purpose of binary and what it is used for. I can explain how digital computers use binary to represent numbers. I can perform simple conversions from denary to binary.

Computers are not as smart as you think, in fact, they only know 2 things… 0 and 1 Everything else is told to the computer by a human, this is called programming. Keywords: Binary, bits, bytes, transistor, circuit, CPU, denary.

So, what actually is binary? The CPU contains millions of tiny little wires. Information shoots through these wires and transistors when a user instructs the computer to do something. The transistors act like miniature gates. They either let electricity pass through a wire, or it doesn’t. The information that the user gives to the computer is encoded to become either 0 or 1, which means ON or OFF and carries out the instructions and decodes the output into whatever the user requested. For a computer 0 means turn a circuit off 1 means turn a circuit on Keywords: Binary, bits, bytes, transistor, circuit, CPU, denary.

How binary works… H E L L O Inputs Outputs Keywords: Binary, bits, bytes, transistor, circuit, CPU, denary.

So, what is stored in binary? Everything! Numbers Character sets (e.g. ASCII) Images Audio Digital Video ✔ Keywords: Binary, bits, bytes, transistor, circuit, CPU, denary.

Binary Numbers We use number 0-9 (Base 10) or in Computing terms “denary”. Computers use 0 or 1 (Base 2) or “binary”. When we type numbers into a computer system, this is translated into binary so that the computer understands it. Example: Denary number 5 is Binary number 101. Keywords: Binary, bits, bytes, transistor, circuit, CPU, denary. Let’s see how its worked out…

Denary numbers – keep doubling! Binary Numbers Explained Denary numbers – keep doubling! Make a table like this.. 128 64 32 16 8 4 2 1 To make the number 5, place a 1 under the numbers that you need and a 0 under the numbers that you don’t… This is Binary 128 64 32 16 8 4 2 1 5 = 101 Keywords: Binary, bits, bytes, transistor, circuit, CPU, denary.

Converting Binary to Denary Converting binary into denary is simply working backwards. Example: Converting the binary number 1101010. Tip: Work backwards from number 1. 128 64 32 16 8 4 2 1 Lets practise these as a class: 1011 11000001 64 +32 +8 +2 =108 ✔ 11 ✔ 193 ✔ Keywords: Binary, bits, bytes, transistor, circuit, CPU, denary.