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
click the bits to set them012806403201608040201

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

0xDD
N =
2.Easy
place values625621601

Convert the hexadecimal number 0x620 to decimal. Find N.

0x620A = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −58 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −588 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −2 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −28 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1010 0011 OR 1011 1011. What is the result's value R in decimal?

1010 0011OR1011 1011
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0101 0110 XOR 0110 0111. What is the result's value R in decimal?

0101 0110XOR0110 0111
R =

Answer key

  1. 1. N = 221
  2. 2. N = 1568
  3. 3. U = 198
  4. 4. U = 254
  5. 5. R = 187
  6. 6. R = 49

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