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 valuesB256816A1

Convert the hexadecimal number 0xB8A to decimal. Find N.

0xB8AA = 10 … F = 15
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x15. What is the pattern's value N in decimal?

0x15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −112 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1128 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −35 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −358 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 1101 AND 0011 1100. What is the result's value R in decimal?

1001 1101AND0011 1100
R =
6.Hard
4519 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 4519 items its own binary code of the same length. What is the smallest number of bits b needed?

4519
b = bit

Answer key

  1. 1. N = 2954
  2. 2. N = 21
  3. 3. U = 144
  4. 4. U = 221
  5. 5. R = 28
  6. 6. b = 13 bit

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