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
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x1C. What is the pattern's value N in decimal?

0x1C
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x41. What is the pattern's value N in decimal?

0x41
N =
3.Medium
place values in two's complement0−12816413211618040201

The 8-bit pattern 0111 1000 stores a signed integer in two's complement. What is its value N in decimal?

0111 10008 bit
N =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −51 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −518 bit
U =
5.Hard
32-bit two's complement, N = ??sign???????????????????????????????

What is the most negative integer N that can be stored in 32-bit two's complement?

32 bit
N =
6.Hard
8 bit1 px800 px600 pxM = ? KiB

An uncompressed image is 800 × 600 pixels with 8 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

800 × 600 px8 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 28
  2. 2. N = 65
  3. 3. N = 120
  4. 4. U = 205
  5. 5. N = −2.147 × 10⁹
  6. 6. M = 468.8 KiB

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