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 0xA5. What is the pattern's value N in decimal?

0xA5
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xE1. What is the pattern's value N in decimal?

0xE1
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −66 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −668 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −37 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −378 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1011 1000 >> 3. What is the result's value R in decimal?

1011 1000>> 3
R =
6.Hard
12 bits, unsigned, N = ?????????????

What is the largest unsigned integer N that fits in 12 bits?

12 bit
N =

Answer key

  1. 1. N = 165
  2. 2. N = 225
  3. 3. U = 190
  4. 4. U = 219
  5. 5. R = 23
  6. 6. N = 4095

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