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
place valuesA25681621

Convert the hexadecimal number 0xA82 to decimal. Find N.

0xA82A = 10 … F = 15
N =
2.Easy
click the bits to set them012806403201608040201

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

0xEF
N =
3.Medium
place values in two's complement0−12806403201618041211

The 8-bit pattern 0000 1011 stores a signed integer in two's complement. What is its value N in decimal?

0000 10118 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −34 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −348 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0101 1100 >> 2. What is the result's value R in decimal?

0101 1100>> 2
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0101 0111 << 2. What is the result's value R in decimal?

0101 0111<< 2
R =

Answer key

  1. 1. N = 2690
  2. 2. N = 239
  3. 3. N = 11
  4. 4. U = 222
  5. 5. R = 23
  6. 6. R = 92

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