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 0x4F. What is the pattern's value N in decimal?

0x4F
N =
2.Easy
place values6256E1661

Convert the hexadecimal number 0x6E6 to decimal. Find N.

0x6E6A = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −42 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −428 bit
U =
4.Medium
place values in two's complement1−12816403211618041211

The 8-bit pattern 1101 1011 stores a signed integer in two's complement. What is its value N in decimal?

1101 10118 bit
N =
5.Hard
16 bit1 px512 px512 pxM = ? KiB

An uncompressed image is 512 × 512 pixels with 16 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

512 × 512 px16 bit/px1 KiB = 1024 B
M = KiB
6.Hard
4735 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 4735 items its own binary code of the same length. What is the smallest number of bits b needed?

4735
b = bit

Answer key

  1. 1. N = 79
  2. 2. N = 1766
  3. 3. U = 214
  4. 4. N = −37
  5. 5. M = 512 KiB
  6. 6. b = 13 bit

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