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 valuesA25611681

Convert the hexadecimal number 0xA18 to decimal. Find N.

0xA18A = 10 … F = 15
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x86. What is the pattern's value N in decimal?

0x86
N =
3.Medium
place values in two's complement1−12816403211608041201

The 8-bit pattern 1101 0010 stores a signed integer in two's complement. What is its value N in decimal?

1101 00108 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −97 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −978 bit
U =
5.Hard
16 bit1 px640 px480 pxM = ? KiB

An uncompressed image is 640 × 480 pixels with 16 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

640 × 480 px16 bit/px1 KiB = 1024 B
M = KiB
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 0101 XOR 1101 1111. What is the result's value R in decimal?

0111 0101XOR1101 1111
R =

Answer key

  1. 1. N = 2584
  2. 2. N = 134
  3. 3. N = −46
  4. 4. U = 159
  5. 5. M = 600 KiB
  6. 6. R = 170

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