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 values625651601

Convert the hexadecimal number 0x650 to decimal. Find N.

0x650A = 10 … F = 15
N =
2.Easy
place values825601601

Convert the hexadecimal number 0x800 to decimal. Find N.

0x800A = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −94 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −948 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −50 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −508 bit
U =
5.Hard
1369 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 1369 items its own binary code of the same length. What is the smallest number of bits b needed?

1369
b = bit
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0101 1111 OR 0100 0011. What is the result's value R in decimal?

0101 1111OR0100 0011
R =

Answer key

  1. 1. N = 1616
  2. 2. N = 2048
  3. 3. U = 162
  4. 4. U = 206
  5. 5. b = 11 bit
  6. 6. R = 95

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