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 values012806413211618041211

Convert the binary number 0011 1011₂ to decimal. Find N.

0011 1011₂
N =
2.Easy
click the bits to set them012806403201608040201

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

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

Set the bits so they store −64 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −648 bit
U =
4.Medium
place values in two's complement1−12816413201618140211

The 8-bit pattern 1110 1101 stores a signed integer in two's complement. What is its value N in decimal?

1110 11018 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1100 0111 AND 0010 0100. What is the result's value R in decimal?

1100 0111AND0010 0100
R =
6.Hard
16 bits, unsigned, N = ?????????????????

What is the largest unsigned integer N that fits in 16 bits?

16 bit
N =

Answer key

  1. 1. N = 59
  2. 2. N = 203
  3. 3. U = 192
  4. 4. N = −19
  5. 5. R = 4
  6. 6. N = 65535

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