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 0x1D. What is the pattern's value N in decimal?

0x1D
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x42. What is the pattern's value N in decimal?

0x42
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −112 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1128 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −40 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −408 bit
U =
5.Hard
20-bit two's complement, N = ??sign???????????????????

What is the most negative integer N that can be stored in 20-bit two's complement?

20 bit
N =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 1010 OR 0111 0011. What is the result's value R in decimal?

1001 1010OR0111 0011
R =

Answer key

  1. 1. N = 29
  2. 2. N = 66
  3. 3. U = 144
  4. 4. U = 216
  5. 5. N = −524288
  6. 6. R = 251

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