Recall & Review
beginner
What is the binary number system?
The binary number system is a way of counting using only two digits: 0 and 1. It is the base-2 numeral system used by computers to represent data.
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beginner
Why do computers use the binary number system?
Computers use binary because their electronic circuits have two states: ON and OFF. These two states are naturally represented by 1 and 0, making binary simple and reliable for computers.
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intermediate
Convert the binary number 1011 to decimal.
1011 in binary equals 11 in decimal. Calculation: (1×2³) + (0×2²) + (1×2¹) + (1×2⁰) = 8 + 0 + 2 + 1 = 11.
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beginner
What does each position in a binary number represent?
Each position in a binary number represents a power of 2, starting from 2⁰ at the rightmost digit, then 2¹, 2², and so on moving left.
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intermediate
How do you add two binary numbers?
Add binary digits like decimal but with base 2: 0+0=0, 1+0=1, 1+1=10 (write 0 carry 1). Carry over when sum is 2 (10 in binary).
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What digits are used in the binary number system?
✗ Incorrect
Binary uses only two digits: 0 and 1.
What is the decimal value of binary 110?
✗ Incorrect
110 binary = (1×2²)+(1×2¹)+(0×2⁰) = 4 + 2 + 0 = 6.
Why is binary suitable for computers?
✗ Incorrect
Computers use binary because their circuits have two states: ON (1) and OFF (0).
What does the rightmost digit in a binary number represent?
✗ Incorrect
The rightmost digit represents 2⁰, which equals 1.
What is the result of binary addition 1 + 1?
✗ Incorrect
1 + 1 in binary equals 10, so write 0 and carry 1 to the next digit.
Explain how to convert a binary number to decimal with an example.
Think about how each binary digit represents a power of 2 and add them up.
You got /5 concepts.
Describe why computers use the binary number system instead of decimal.
Consider the physical nature of computer hardware.
You got /4 concepts.