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 values112816413201608140201

Convert the binary number 1110 0100₂ to decimal. Find N.

1110 0100₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x60. What is the pattern's value N in decimal?

0x60
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −43 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −438 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −42 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −428 bit
U =
5.Hard
16 bits, unsigned, N = ?????????????????

What is the largest unsigned integer N that fits in 16 bits?

16 bit
N =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 0000 AND 1100 0101. What is the result's value R in decimal?

0111 0000AND1100 0101
R =

Answer key

  1. 1. N = 228
  2. 2. N = 96
  3. 3. U = 213
  4. 4. U = 214
  5. 5. N = 65535
  6. 6. R = 64

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