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 0x6A. What is the pattern's value N in decimal?

0x6A
N =
2.Easy
click the bits to set them012806403201608040201

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

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

Set the bits so they store −39 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −398 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −34 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −348 bit
U =
5.Hard
16 bit1 px1024 px768 pxM = ? KiB

An uncompressed image is 1024 × 768 pixels with 16 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1024 × 768 px16 bit/px1 KiB = 1024 B
M = KiB
6.Hard
186 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 186 items its own binary code of the same length. What is the smallest number of bits b needed?

186
b = bit

Answer key

  1. 1. N = 106
  2. 2. N = 205
  3. 3. U = 217
  4. 4. U = 222
  5. 5. M = 1536 KiB
  6. 6. b = 8 bit

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