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 0xF2. What is the pattern's value N in decimal?

0xF2
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x62. What is the pattern's value N in decimal?

0x62
N =
3.Medium
place values in two's complement1−12816413211618140211

The 8-bit pattern 1111 1101 stores a signed integer in two's complement. What is its value N in decimal?

1111 11018 bit
N =
4.Medium
place values in two's complement1−12806403201618041211

The 8-bit pattern 1000 1011 stores a signed integer in two's complement. What is its value N in decimal?

1000 10118 bit
N =
5.Hard
1961 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 1961 items its own binary code of the same length. What is the smallest number of bits b needed?

1961
b = bit
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0110 1101 AND 1101 1100. What is the result's value R in decimal?

0110 1101AND1101 1100
R =

Answer key

  1. 1. N = 242
  2. 2. N = 98
  3. 3. N = −3
  4. 4. N = −117
  5. 5. b = 11 bit
  6. 6. R = 76

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