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 values012806413201618040201

Convert the binary number 0010 1000₂ to decimal. Find N.

0010 1000₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x72. What is the pattern's value N in decimal?

0x72
N =
3.Medium
place values in two's complement1−12806403211608040201

The 8-bit pattern 1001 0000 stores a signed integer in two's complement. What is its value N in decimal?

1001 00008 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −14 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −148 bit
U =
5.Hard
32 bit1 px256 px256 pxM = ? KiB

An uncompressed image is 256 × 256 pixels with 32 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

256 × 256 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 0110 0110 << 2. What is the result's value R in decimal?

0110 0110<< 2
R =

Answer key

  1. 1. N = 40
  2. 2. N = 114
  3. 3. N = −112
  4. 4. U = 242
  5. 5. M = 256 KiB
  6. 6. R = 152

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