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 values112816413201618041211

Convert the binary number 1110 1011₂ to decimal. Find N.

1110 1011₂
N =
2.Easy
place values012806413211608140211

Convert the binary number 0011 0101₂ to decimal. Find N.

0011 0101₂
N =
3.Medium
place values in two's complement1−12816413211608040211

The 8-bit pattern 1111 0001 stores a signed integer in two's complement. What is its value N in decimal?

1111 00018 bit
N =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −97 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −978 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 0101 AND 1011 0101. What is the result's value R in decimal?

1001 0101AND1011 0101
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1010 1111 AND 1010 1100. What is the result's value R in decimal?

1010 1111AND1010 1100
R =

Answer key

  1. 1. N = 235
  2. 2. N = 53
  3. 3. N = −15
  4. 4. U = 159
  5. 5. R = 149
  6. 6. R = 172

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