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 0x5C. What is the pattern's value N in decimal?

0x5C
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x90. What is the pattern's value N in decimal?

0x90
N =
3.Medium
place values in two's complement1−12806403211618140201

The 8-bit pattern 1001 1100 stores a signed integer in two's complement. What is its value N in decimal?

1001 11008 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −105 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1058 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 1110 >> 1. What is the result's value R in decimal?

1001 1110>> 1
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 = 92
  2. 2. N = 144
  3. 3. N = −100
  4. 4. U = 151
  5. 5. R = 79
  6. 6. N = 1.049 × 10⁶

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