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 0x48. What is the pattern's value N in decimal?

0x48
N =
2.Easy
place valuesE25691651

Convert the hexadecimal number 0xE95 to decimal. Find N.

0xE95A = 10 … F = 15
N =
3.Medium
place values in two's complement1−12816413211618140201

The 8-bit pattern 1111 1100 stores a signed integer in two's complement. What is its value N in decimal?

1111 11008 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −44 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −448 bit
U =
5.Hard
32 bit1 px640 px480 pxM = ? KiB

An uncompressed image is 640 × 480 pixels with 32 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

640 × 480 px32 bit/px1 KiB = 1024 B
M = KiB
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1000 0011 XOR 1001 0100. What is the result's value R in decimal?

1000 0011XOR1001 0100
R =

Answer key

  1. 1. N = 72
  2. 2. N = 3733
  3. 3. N = −4
  4. 4. U = 212
  5. 5. M = 1200 KiB
  6. 6. R = 23

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