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Grade 7 Computer Science — Bigger binary numbers

Read and write binary numbers with several places, and work out how many different values a given number of bits can hold.

Name: ________________________

Before you start

Move along this line and think about which binary places you would need to reach each point.

048121620242832

The points that need only a single 1 — 1, 2, 4, 8, 16, 32 — are the place values themselves. Everything else is built by adding a few of them together.

  1. 1.What is the largest number that fits in 4 bits?

    • a) 14
    • b) 8
    • c) 16
    • d) 15

  2. 2.With 3 bits you can write 000, 001, 010 and so on. How many different values is that altogether?

    • a) 9
    • b) 6
    • c) 8
    • d) 3

  3. 3.What is the binary number "110110" worth as an ordinary number?

  4. 4.Put these binary numbers in order, smallest first.

    • 1101
    • 101
    • 10001
    • 1010
    • 100100

  5. 5.A byte is eight bits. How many different values can one byte hold?

    • a) 128
    • b) 512
    • c) 256
    • d) 64

  6. 6.How many different values can be written with 5 bits?

  7. 7.The binary number "101100" sits at one of these points. Tap it.

    Mark the line with an X.

    0816243240485664

  8. 8.Write the number 20 in binary.

Answer key — Grade 7 Computer Science — Bigger binary numbers

  1. 1. d) 15
  2. 2. c) 8
  3. 3. 54
  4. 4. 1. 101 2. 1010 3. 1101 4. 10001 5. 100100
  5. 5. c) 256
  6. 6. 32
  7. 7. 44
  8. 8. 10100