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 values012816413211608040201

Convert the binary number 0111 0000₂ to decimal. Find N.

0111 0000₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xC2. What is the pattern's value N in decimal?

0xC2
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −47 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −478 bit
U =
4.Medium
place values in two's complement1−12816403201618041201

The 8-bit pattern 1100 1010 stores a signed integer in two's complement. What is its value N in decimal?

1100 10108 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1101 1011 << 1. What is the result's value R in decimal?

1101 1011<< 1
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0011 1100 >> 1. What is the result's value R in decimal?

0011 1100>> 1
R =

Answer key

  1. 1. N = 112
  2. 2. N = 194
  3. 3. U = 209
  4. 4. N = −54
  5. 5. R = 182
  6. 6. R = 30

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