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
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xB8. What is the pattern's value N in decimal?

0xB8
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x29. What is the pattern's value N in decimal?

0x29
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
8-bit two's complement0−12806403201608040201

Set the bits so they store −116 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1168 bit
U =
5.Hard
571 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 571 items its own binary code of the same length. What is the smallest number of bits b needed?

571
b = bit
6.Hard
32-bit two's complement, N = ??sign???????????????????????????????

What is the most negative integer N that can be stored in 32-bit two's complement?

32 bit
N =

Answer key

  1. 1. N = 184
  2. 2. N = 41
  3. 3. U = 192
  4. 4. U = 140
  5. 5. b = 10 bit
  6. 6. N = −2.147 × 10⁹

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