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

0xFB
N =
2.Easy
place values112806403201618140201

Convert the binary number 1000 1100₂ to decimal. Find N.

1000 1100₂
N =
3.Medium
place values in two's complement1−12816413201608140201

The 8-bit pattern 1110 0100 stores a signed integer in two's complement. What is its value N in decimal?

1110 01008 bit
N =
4.Medium
place values in two's complement1−12806403211608141201

The 8-bit pattern 1001 0110 stores a signed integer in two's complement. What is its value N in decimal?

1001 01108 bit
N =
5.Hard
32 bits, unsigned, N = ?????????????????????????????????

What is the largest unsigned integer N that fits in 32 bits?

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

Set the bits to the 8-bit result of 0011 0100 << 1. What is the result's value R in decimal?

0011 0100<< 1
R =

Answer key

  1. 1. N = 251
  2. 2. N = 140
  3. 3. N = −28
  4. 4. N = −106
  5. 5. N = 4.295 × 10⁹
  6. 6. R = 104

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