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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1.Easy
place values012816413211608041201

Convert the binary number 0111 0010₂ to decimal. Find N.

0111 0010₂
N =
2.Easy
place valuesB256C1651

Convert the hexadecimal number 0xBC5 to decimal. Find N.

0xBC5A = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −114 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1148 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −83 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −838 bit
U =
5.Hard
20-bit two's complement, N = ??sign???????????????????

What is the most negative integer N that can be stored in 20-bit two's complement?

20 bit
N =
6.Hard
16-bit two's complement, N = ??sign???????????????

What is the most negative integer N that can be stored in 16-bit two's complement?

16 bit
N =

Answer key

  1. 1. N = 114
  2. 2. N = 3013
  3. 3. U = 142
  4. 4. U = 173
  5. 5. N = −524288
  6. 6. N = −32768

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