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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1.Easy
place valuesD25691631

Convert the hexadecimal number 0xD93 to decimal. Find N.

0xD93A = 10 … F = 15
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xB0. What is the pattern's value N in decimal?

0xB0
N =
3.Medium
place values in two's complement1−12806403201608041211

The 8-bit pattern 1000 0011 stores a signed integer in two's complement. What is its value N in decimal?

1000 00118 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −76 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −768 bit
U =
5.Hard
10-bit two's complement, N = ??sign?????????

What is the most negative integer N that can be stored in 10-bit two's complement?

10 bit
N =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0010 0101 << 3. What is the result's value R in decimal?

0010 0101<< 3
R =

Answer key

  1. 1. N = 3475
  2. 2. N = 176
  3. 3. N = −125
  4. 4. U = 180
  5. 5. N = −512
  6. 6. R = 40

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