Converting Between Number Bases (AQA GCSE Computer Science): Flashcards

📚Flashcards
Converting Between Binary and Decimal
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What is the number base of binary?

Base 2

Which digits are used in binary?

0 and 1 only

What is the number base of decimal?

Base 10

Which digits are used in decimal?

0 to 9

8-bit binary place values (left to right)

128, 64, 32, 16, 8, 4, 2, 1

Pattern of binary place values

Each doubles the previous; follows 2n2^n

Method: binary to decimal conversion

Add up all place values where there's a 1

Where to start when aligning binary number?

Right side (1s column)

Method: decimal to binary conversion

Subtraction from largest to smallest place value

When to put 1 in decimal to binary?

If place value \leq remaining number, put 1 & subtract

When to put 0 in decimal to binary?

If place value > remaining number

Max decimal for 8-bit binary (GCSE)

255

Can you reuse place values in conversions?

No - each used only once

How to check conversion accuracy?

Convert back the other way to verify

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