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 values112816413211608140211

Convert the binary number 1111 0101₂ to decimal. Find N.

1111 0101₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x1E. What is the pattern's value N in decimal?

0x1E
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −50 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −508 bit
U =
4.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 =
5.Hard
click the bits to set them012806403201608040201

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

0111 0101>> 2
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1101 0100 << 3. What is the result's value R in decimal?

1101 0100<< 3
R =

Answer key

  1. 1. N = 245
  2. 2. N = 30
  3. 3. U = 206
  4. 4. N = −28
  5. 5. R = 29
  6. 6. R = 160

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