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 values112806413201618141211

Convert the binary number 1010 1111₂ to decimal. Find N.

1010 1111₂
N =
2.Easy
place valuesB25691641

Convert the hexadecimal number 0xB94 to decimal. Find N.

0xB94A = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −34 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −348 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

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

N = −88 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
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1000 0000 XOR 1001 0000. What is the result's value R in decimal?

1000 0000XOR1001 0000
R =

Answer key

  1. 1. N = 175
  2. 2. N = 2964
  3. 3. U = 222
  4. 4. U = 248
  5. 5. M = 1800 KiB
  6. 6. R = 16

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