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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Name: ____________________   Date: ____________

1.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xB8. What is the pattern's value N in decimal?

0xB8
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x11. What is the pattern's value N in decimal?

0x11
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −65 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −658 bit
U =
4.Medium
place values in two's complement1−12806413201618041201

The 8-bit pattern 1010 1010 stores a signed integer in two's complement. What is its value N in decimal?

1010 10108 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1110 1101 AND 1101 1100. What is the result's value R in decimal?

1110 1101AND1101 1100
R =
6.Hard
12 bits, unsigned, N = ?????????????

What is the largest unsigned integer N that fits in 12 bits?

12 bit
N =

Answer key

  1. 1. N = 184
  2. 2. N = 17
  3. 3. U = 191
  4. 4. N = −86
  5. 5. R = 204
  6. 6. N = 4095

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