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
place values112806413211618141211

Convert the binary number 1011 1111₂ to decimal. Find N.

1011 1111₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x3B. What is the pattern's value N in decimal?

0x3B
N =
3.Medium
place values in two's complement0−12816413211608040211

The 8-bit pattern 0111 0001 stores a signed integer in two's complement. What is its value N in decimal?

0111 00018 bit
N =
4.Medium
place values in two's complement1−12816403201618141211

The 8-bit pattern 1100 1111 stores a signed integer in two's complement. What is its value N in decimal?

1100 11118 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1101 1111 << 3. What is the result's value R in decimal?

1101 1111<< 3
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1111 0010 OR 0011 0001. What is the result's value R in decimal?

1111 0010OR0011 0001
R =

Answer key

  1. 1. N = 191
  2. 2. N = 59
  3. 3. N = 113
  4. 4. N = −49
  5. 5. R = 248
  6. 6. R = 243

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