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

0xDE
N =
2.Easy
place values112806413201618041201

Convert the binary number 1010 1010₂ to decimal. Find N.

1010 1010₂
N =
3.Medium
place values in two's complement1−12806403211608140211

The 8-bit pattern 1001 0101 stores a signed integer in two's complement. What is its value N in decimal?

1001 01018 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −52 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −528 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1000 0000 XOR 1010 0000. What is the result's value R in decimal?

1000 0000XOR1010 0000
R =
6.Hard
32-bit two's complement, N = ??sign???????????????????????????????

What is the most negative integer N that can be stored in 32-bit two's complement?

32 bit
N =

Answer key

  1. 1. N = 222
  2. 2. N = 170
  3. 3. N = −107
  4. 4. U = 204
  5. 5. R = 32
  6. 6. N = −2.147 × 10⁹

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