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 0x33. What is the pattern's value N in decimal?

0x33
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x74. What is the pattern's value N in decimal?

0x74
N =
3.Medium
place values in two's complement1−12816403211618140201

The 8-bit pattern 1101 1100 stores a signed integer in two's complement. What is its value N in decimal?

1101 11008 bit
N =
4.Medium
place values in two's complement0−12806413201618041211

The 8-bit pattern 0010 1011 stores a signed integer in two's complement. What is its value N in decimal?

0010 10118 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0010 0001 >> 1. What is the result's value R in decimal?

0010 0001>> 1
R =
6.Hard
1634 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 1634 items its own binary code of the same length. What is the smallest number of bits b needed?

1634
b = bit

Answer key

  1. 1. N = 51
  2. 2. N = 116
  3. 3. N = −36
  4. 4. N = 43
  5. 5. R = 16
  6. 6. b = 11 bit

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