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 valuesE256D16C1

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

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

Set the bits so the 8-bit register holds 0x11. What is the pattern's value N in decimal?

0x11
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −65 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −658 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −111 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1118 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 0010 AND 1100 1110. What is the result's value R in decimal?

0111 0010AND1100 1110
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 1110 << 3. What is the result's value R in decimal?

0111 1110<< 3
R =

Answer key

  1. 1. N = 3804
  2. 2. N = 17
  3. 3. U = 191
  4. 4. U = 145
  5. 5. R = 66
  6. 6. R = 240

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