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 values5256B16A1

Convert the hexadecimal number 0x5BA to decimal. Find N.

0x5BAA = 10 … F = 15
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x28. What is the pattern's value N in decimal?

0x28
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −58 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −588 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −2 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −28 bit
U =
5.Hard
16 bit1 px1280 px720 pxM = ? KiB

An uncompressed image is 1280 × 720 pixels with 16 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1280 × 720 px16 bit/px1 KiB = 1024 B
M = KiB
6.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 =

Answer key

  1. 1. N = 1466
  2. 2. N = 40
  3. 3. U = 198
  4. 4. U = 254
  5. 5. M = 1800 KiB
  6. 6. N = −524288

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