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 0xF9. What is the pattern's value N in decimal?

0xF9
N =
2.Easy
place valuesC256A16B1

Convert the hexadecimal number 0xCAB to decimal. Find N.

0xCABA = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −92 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −928 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −115 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1158 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1010 1100 XOR 0110 1110. What is the result's value R in decimal?

1010 1100XOR0110 1110
R =
6.Hard
20 bits, unsigned, N = ?????????????????????

What is the largest unsigned integer N that fits in 20 bits?

20 bit
N =

Answer key

  1. 1. N = 249
  2. 2. N = 3243
  3. 3. U = 164
  4. 4. U = 141
  5. 5. R = 194
  6. 6. N = 1.049 × 10⁶

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