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 values012806413211608040211

Convert the binary number 0011 0001₂ to decimal. Find N.

0011 0001₂
N =
2.Easy
place values112816403201618040211

Convert the binary number 1100 1001₂ to decimal. Find N.

1100 1001₂
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −38 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −388 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −95 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −958 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0101 1111 << 1. What is the result's value R in decimal?

0101 1111<< 1
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1110 1010 >> 2. What is the result's value R in decimal?

1110 1010>> 2
R =

Answer key

  1. 1. N = 49
  2. 2. N = 201
  3. 3. U = 218
  4. 4. U = 161
  5. 5. R = 190
  6. 6. R = 58

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