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 values3256B16E1

Convert the hexadecimal number 0x3BE to decimal. Find N.

0x3BEA = 10 … F = 15
N =
2.Easy
place values225651601

Convert the hexadecimal number 0x250 to decimal. Find N.

0x250A = 10 … F = 15
N =
3.Medium
place values in two's complement0−12816403211608040201

The 8-bit pattern 0101 0000 stores a signed integer in two's complement. What is its value N in decimal?

0101 00008 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −59 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −598 bit
U =
5.Hard
3034 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 3034 items its own binary code of the same length. What is the smallest number of bits b needed?

3034
b = bit
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 0010 AND 0010 1101. What is the result's value R in decimal?

0111 0010AND0010 1101
R =

Answer key

  1. 1. N = 958
  2. 2. N = 592
  3. 3. N = 80
  4. 4. U = 197
  5. 5. b = 12 bit
  6. 6. R = 32

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