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 values325631661

Convert the hexadecimal number 0x336 to decimal. Find N.

0x336A = 10 … F = 15
N =
2.Easy
place values112806413201618141211

Convert the binary number 1010 1111₂ to decimal. Find N.

1010 1111₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −10 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −108 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −120 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1208 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0101 0000 << 3. What is the result's value R in decimal?

0101 0000<< 3
R =
6.Hard
10-bit two's complement, N = ??sign?????????

What is the most negative integer N that can be stored in 10-bit two's complement?

10 bit
N =

Answer key

  1. 1. N = 822
  2. 2. N = 175
  3. 3. U = 246
  4. 4. U = 136
  5. 5. R = 128
  6. 6. N = −512

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