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 values112806413211608140201

Convert the binary number 1011 0100₂ to decimal. Find N.

1011 0100₂
N =
2.Easy
place valuesD256B1661

Convert the hexadecimal number 0xDB6 to decimal. Find N.

0xDB6A = 10 … F = 15
N =
3.Medium
place values in two's complement1−12816413211608140211

The 8-bit pattern 1111 0101 stores a signed integer in two's complement. What is its value N in decimal?

1111 01018 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
20-bit two's complement, N = ??sign???????????????????

What is the most negative integer N that can be stored in 20-bit two's complement?

20 bit
N =
6.Hard
24 bit1 px1024 px768 pxM = ? KiB

An uncompressed image is 1024 × 768 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1024 × 768 px24 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 180
  2. 2. N = 3510
  3. 3. N = −11
  4. 4. U = 238
  5. 5. N = −524288
  6. 6. M = 2304 KiB

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