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 values012816403201618040201

Convert the binary number 0100 1000₂ to decimal. Find N.

0100 1000₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x97. What is the pattern's value N in decimal?

0x97
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −91 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −918 bit
U =
4.Medium
place values in two's complement1−12806403211618040201

The 8-bit pattern 1001 1000 stores a signed integer in two's complement. What is its value N in decimal?

1001 10008 bit
N =
5.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 =
6.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 =

Answer key

  1. 1. N = 72
  2. 2. N = 151
  3. 3. U = 165
  4. 4. N = −104
  5. 5. N = −32768
  6. 6. N = −524288

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