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
place values1256C16C1

Convert the hexadecimal number 0x1CC to decimal. Find N.

0x1CCA = 10 … F = 15
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x12. What is the pattern's value N in decimal?

0x12
N =
3.Medium
place values in two's complement1−12816403211618141211

The 8-bit pattern 1101 1111 stores a signed integer in two's complement. What is its value N in decimal?

1101 11118 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −120 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1208 bit
U =
5.Hard
8 bit1 px800 px600 pxM = ? KiB

An uncompressed image is 800 × 600 pixels with 8 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

800 × 600 px8 bit/px1 KiB = 1024 B
M = KiB
6.Hard
32 bits, unsigned, N = ?????????????????????????????????

What is the largest unsigned integer N that fits in 32 bits?

32 bit
N =

Answer key

  1. 1. N = 460
  2. 2. N = 18
  3. 3. N = −33
  4. 4. U = 136
  5. 5. M = 468.8 KiB
  6. 6. N = 4.295 × 10⁹

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