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
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xD8. What is the pattern's value N in decimal?

0xD8
N =
2.Easy
place values425661651

Convert the hexadecimal number 0x465 to decimal. Find N.

0x465A = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −13 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −138 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −116 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1168 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0100 1100 XOR 1111 1010. What is the result's value R in decimal?

0100 1100XOR1111 1010
R =
6.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

Answer key

  1. 1. N = 216
  2. 2. N = 1125
  3. 3. U = 243
  4. 4. U = 140
  5. 5. R = 182
  6. 6. M = 1800 KiB

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