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 0x32. What is the pattern's value N in decimal?

0x32
N =
2.Easy
click the bits to set them012806403201608040201

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

0xAD
N =
3.Medium
place values in two's complement1−12806403201608040201

The 8-bit pattern 1000 0000 stores a signed integer in two's complement. What is its value N in decimal?

1000 00008 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −90 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −908 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1000 0100 << 2. What is the result's value R in decimal?

1000 0100<< 2
R =
6.Hard
32 bits, unsigned, N = ?????????????????????????????????

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

32 bit
N =

Answer key

  1. 1. N = 50
  2. 2. N = 173
  3. 3. N = −128
  4. 4. U = 166
  5. 5. R = 16
  6. 6. N = 4.295 × 10⁹

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