Hey future tech whiz! Ever wondered how computers understand our normal numbers? They translate them into a language of just 0s and 1s, called binary. This quiz will turn you into a master translator, specifically teaching you how to convert our everyday numbers (which we call decimal or denary numbers) into the computer's binary code!
This skill is super important in Computer Science because it helps you understand how everything from simple calculations to complex programs work deep inside a computer. Get ready to decode!
Before you start the quiz, let's walk through a simple example of how to change a decimal (normal) number into its 8-bit binary code. This is a fundamental skill for understanding computers!
Walkthrough:
We use a method called "repeated division by 2". You keep dividing the number by 2 and note down the remainder. It's like finding leftover pieces!
Start with your decimal number and divide it by 2. Write down the whole number result (quotient) and the leftover (remainder). The remainder is super important – it's your binary digit!
For 13:
You stop when the result of your division becomes 0.
Now, gather all the remainders you wrote down, but read them from bottom to top:
1 (from last step)
1
0
1 (from first step)
Putting them together, you get: 1101.
Computers often use groups of 8 bits. If your binary number is shorter than 8 digits, add leading zeros (zeros at the beginning) until it's 8 bits long.
1101 (which is 4 bits) needs 4 more zeros to be 8 bits:
00001101
So, the decimal number 13 is 00001101 in 8-bit binary!