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 values925601651

Convert the hexadecimal number 0x905 to decimal. Find N.

0x905A = 10 … F = 15
N =
2.Easy
place values6256D16E1

Convert the hexadecimal number 0x6DE to decimal. Find N.

0x6DEA = 10 … F = 15
N =
3.Medium
place values in two's complement0−12816413211618040211

The 8-bit pattern 0111 1001 stores a signed integer in two's complement. What is its value N in decimal?

0111 10018 bit
N =
4.Medium
place values in two's complement1−12806403201618141201

The 8-bit pattern 1000 1110 stores a signed integer in two's complement. What is its value N in decimal?

1000 11108 bit
N =
5.Hard
32-bit two's complement, N = ??sign???????????????????????????????

What is the most negative integer N that can be stored in 32-bit two's complement?

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

Set the bits to the 8-bit result of 1110 0001 XOR 0111 0101. What is the result's value R in decimal?

1110 0001XOR0111 0101
R =

Answer key

  1. 1. N = 2309
  2. 2. N = 1758
  3. 3. N = 121
  4. 4. N = −114
  5. 5. N = −2.147 × 10⁹
  6. 6. R = 148

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