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 0x3A. What is the pattern's value N in decimal?

0x3A
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x50. What is the pattern's value N in decimal?

0x50
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −116 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1168 bit
U =
4.Medium
place values in two's complement1−12806403211608040211

The 8-bit pattern 1001 0001 stores a signed integer in two's complement. What is its value N in decimal?

1001 00018 bit
N =
5.Hard
32 bits, unsigned, N = ?????????????????????????????????

What is the largest unsigned integer N that fits in 32 bits?

32 bit
N =
6.Hard
32 bit1 px640 px480 pxM = ? KiB

An uncompressed image is 640 × 480 pixels with 32 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

640 × 480 px32 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 58
  2. 2. N = 80
  3. 3. U = 140
  4. 4. N = −111
  5. 5. N = 4.295 × 10⁹
  6. 6. M = 1200 KiB

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