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 values225611661

Convert the hexadecimal number 0x216 to decimal. Find N.

0x216A = 10 … F = 15
N =
2.Easy
place values012816413211608141211

Convert the binary number 0111 0111₂ to decimal. Find N.

0111 0111₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −113 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1138 bit
U =
4.Medium
place values in two's complement1−12806403211618040201

The 8-bit pattern 1001 1000 stores a signed integer in two's complement. What is its value N in decimal?

1001 10008 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1101 1110 >> 2. What is the result's value R in decimal?

1101 1110>> 2
R =
6.Hard
1532 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 1532 items its own binary code of the same length. What is the smallest number of bits b needed?

1532
b = bit

Answer key

  1. 1. N = 534
  2. 2. N = 119
  3. 3. U = 143
  4. 4. N = −104
  5. 5. R = 55
  6. 6. b = 11 bit

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