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 0x18. What is the pattern's value N in decimal?

0x18
N =
2.Easy
place values3256116C1

Convert the hexadecimal number 0x31C to decimal. Find N.

0x31CA = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −109 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1098 bit
U =
4.Medium
place values in two's complement1−12806403201618041201

The 8-bit pattern 1000 1010 stores a signed integer in two's complement. What is its value N in decimal?

1000 10108 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1111 1000 << 1. What is the result's value R in decimal?

1111 1000<< 1
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0001 1000 OR 1001 1100. What is the result's value R in decimal?

0001 1000OR1001 1100
R =

Answer key

  1. 1. N = 24
  2. 2. N = 796
  3. 3. U = 147
  4. 4. N = −118
  5. 5. R = 240
  6. 6. R = 156

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