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 values012816403211608040201

Convert the binary number 0101 0000₂ to decimal. Find N.

0101 0000₂
N =
2.Easy
place values112816413211608041201

Convert the binary number 1111 0010₂ to decimal. Find N.

1111 0010₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −55 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −558 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −71 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −718 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0001 1101 << 3. What is the result's value R in decimal?

0001 1101<< 3
R =
6.Hard
12-bit two's complement, N = ??sign???????????

What is the most negative integer N that can be stored in 12-bit two's complement?

12 bit
N =

Answer key

  1. 1. N = 80
  2. 2. N = 242
  3. 3. U = 201
  4. 4. U = 185
  5. 5. R = 232
  6. 6. N = −2048

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