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 values525601641

Convert the hexadecimal number 0x504 to decimal. Find N.

0x504A = 10 … F = 15
N =
2.Easy
place valuesC25651691

Convert the hexadecimal number 0xC59 to decimal. Find N.

0xC59A = 10 … F = 15
N =
3.Medium
place values in two's complement1−12816413211608141201

The 8-bit pattern 1111 0110 stores a signed integer in two's complement. What is its value N in decimal?

1111 01108 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −18 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −188 bit
U =
5.Hard
32 bit1 px1280 px720 pxM = ? KiB

An uncompressed image is 1280 × 720 pixels with 32 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1280 × 720 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 0011 1101 AND 1111 0101. What is the result's value R in decimal?

0011 1101AND1111 0101
R =

Answer key

  1. 1. N = 1284
  2. 2. N = 3161
  3. 3. N = −10
  4. 4. U = 238
  5. 5. M = 3600 KiB
  6. 6. R = 53

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