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  3. AP Computer Science Principles

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AP Computer Science Principles Flashcards: Binary Numbers

Study Binary Numbers in AP Computer Science Principles with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

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What this deck covers

This deck focuses on Binary Numbers, giving you a quick way to review the definitions, rules, and examples that matter most for AP Computer Science Principles.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

AP Computer Science Principles Flashcards: Binary Numbers

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QUESTION

What is the binary equivalent of the decimal number 3?

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ANSWER
  1. Decimal 3 = 2+1=21+202 + 1 = 2^1 + 2^02+1=21+20, so positions 1 and 0 are set.

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Flashcard 1: What is the binary equivalent of the decimal number 3?

Answer:

  1. Decimal 3 = 2+1=21+202 + 1 = 2^1 + 2^02+1=21+20, so positions 1 and 0 are set.

Flashcard 2: What is the binary subtraction of 1010 - 101?

Answer:

  1. Subtract column by column: 1010−101=1011010 - 101 = 1011010−101=101.

Flashcard 3: What does the binary number 1001 equal in octal?

Answer:

  1. Binary 1001 equals decimal 9, which is octal 11.

Flashcard 4: Convert the binary number 100 to hexadecimal.

Answer:

  1. Binary 100 equals decimal 4, which is hex 4.

Flashcard 5: What is the binary addition of 1001 + 101?

Answer:

  1. Add column by column: 1001+101=11101001 + 101 = 11101001+101=1110.

Flashcard 6: What is the binary subtraction of 1111 - 1101?

Answer:

  1. Subtract column by column: 1111−1101=101111 - 1101 = 101111−1101=10.

Flashcard 7: What does the binary number 1111 equal in octal?

Answer:

  1. Binary 1111 equals decimal 15, which is octal 17.

Flashcard 8: What is the result of binary multiplication: 11 * 11?

Answer:

  1. Binary multiplication: 11×11=3×3=9=100111 \times 11 = 3 \times 3 = 9 = 100111×11=3×3=9=1001.

Flashcard 9: What is the binary representation of the hexadecimal number F?

Answer:

  1. Hex F equals decimal 15, all four low-order bits set.

Flashcard 10: Convert the binary number 1010 to hexadecimal.

Answer: A. Binary 1010 equals decimal 10, which is hex A.

Flashcard 11: Define a bit in the context of binary numbers.

Answer: A bit is a binary digit, 0 or 1. The fundamental unit of binary information.

Flashcard 12: What is the binary subtraction of 1100 - 101?

Answer:

  1. Subtract column by column with borrowing: 1100−101=1111100 - 101 = 1111100−101=111.

Flashcard 13: What does the binary number 1111 equal in octal?

Answer:

  1. Binary 1111 equals decimal 15, which is octal 17.

Flashcard 14: What is the binary equivalent of the decimal number 10?

Answer:

  1. Decimal 10 = 8+2=23+218 + 2 = 2^3 + 2^18+2=23+21, so positions 3 and 1 are set.

Flashcard 15: Convert the decimal number 15 to binary.

Answer:

  1. Decimal 15 = 8+4+2+18 + 4 + 2 + 18+4+2+1, all four low-order bits set.

Flashcard 16: What is the binary subtraction of 1010 - 101?

Answer:

  1. Subtract column by column: 1010−101=1011010 - 101 = 1011010−101=101.

Flashcard 17: What is the result of binary multiplication: 101 * 11?

Answer:

  1. Binary multiplication: 101×11=5×3=15=1111101 \times 11 = 5 \times 3 = 15 = 1111101×11=5×3=15=1111.

Flashcard 18: Define a nibble in terms of binary numbers.

Answer: A nibble is 4 bits. Half a byte, convenient for hex digit representation.

Flashcard 19: Convert the binary number 111 to decimal.

Answer:

  1. Binary 111 = 4+2+1=22+21+20=74 + 2 + 1 = 2^2 + 2^1 + 2^0 = 74+2+1=22+21+20=7.

Flashcard 20: What is the binary equivalent of the decimal number 3?

Answer:

  1. Decimal 3 = 2+1=21+202 + 1 = 2^1 + 2^02+1=21+20, so positions 1 and 0 are set.

Flashcard 21: What is the result of binary multiplication: 10 * 10?

Answer:

  1. Binary multiplication: 10×10=2×2=4=10010 \times 10 = 2 \times 2 = 4 = 10010×10=2×2=4=100.

Flashcard 22: What is the largest number that can be represented with 4 bits?

Answer:

  1. With 4 bits, maximum is 24−1=16−1=152^4 - 1 = 16 - 1 = 1524−1=16−1=15.

Flashcard 23: What is the binary addition of 1001 + 101?

Answer:

  1. Add column by column: 1001+101=11101001 + 101 = 11101001+101=1110.

Flashcard 24: Convert the binary number 1010 to hexadecimal.

Answer: A. Binary 1010 equals decimal 10, which is hex A.

Flashcard 25: Convert the binary number 101 to hexadecimal.

Answer:

  1. Binary 101 equals decimal 5, which is hex 5.

Flashcard 26: Convert the binary number 1101 to decimal.

Answer:

  1. Binary 1101 = 8+4+1=23+22+20=138 + 4 + 1 = 2^3 + 2^2 + 2^0 = 138+4+1=23+22+20=13.

Flashcard 27: What is the result of binary multiplication: 11 * 11?

Answer:

  1. Binary multiplication: 11×11=3×3=9=100111 \times 11 = 3 \times 3 = 9 = 100111×11=3×3=9=1001.

Flashcard 28: Convert the decimal number 8 to binary.

Answer:

  1. Decimal 8 = 232^323, so only position 3 is set.

Flashcard 29: What does the binary number 1001 equal in octal?

Answer:

  1. Binary 1001 equals decimal 9, which is octal 11.

Flashcard 30: What is the binary equivalent of the decimal number 7?

Answer:

  1. Decimal 7 = 4+2+1=22+21+204 + 2 + 1 = 2^2 + 2^1 + 2^04+2+1=22+21+20.