Number systems worksheet with answers

Free printable Number systems worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x33. What is the pattern's value N in decimal?

0x33
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xE3. What is the pattern's value N in decimal?

0xE3
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −80 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −808 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −3 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −38 bit
U =
5.Hard
16 bit1 px256 px256 pxM = ? KiB

An uncompressed image is 256 × 256 pixels with 16 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

256 × 256 px16 bit/px1 KiB = 1024 B
M = KiB
6.Hard
24 bits, unsigned, N = ?????????????????????????

What is the largest unsigned integer N that fits in 24 bits?

24 bit
N =

Answer key

  1. 1. N = 51
  2. 2. N = 227
  3. 3. U = 176
  4. 4. U = 253
  5. 5. M = 128 KiB
  6. 6. N = 1.678 × 10⁷

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