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 values2256E1671

Convert the hexadecimal number 0x2E7 to decimal. Find N.

0x2E7A = 10 … F = 15
N =
2.Easy
place values012816403201618141211

Convert the binary number 0100 1111₂ to decimal. Find N.

0100 1111₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −3 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −38 bit
U =
4.Medium
place values in two's complement1−12816403211608041201

The 8-bit pattern 1101 0010 stores a signed integer in two's complement. What is its value N in decimal?

1101 00108 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0001 1000 << 1. What is the result's value R in decimal?

0001 1000<< 1
R =
6.Hard
10 bits, unsigned, N = ???????????

What is the largest unsigned integer N that fits in 10 bits?

10 bit
N =

Answer key

  1. 1. N = 743
  2. 2. N = 79
  3. 3. U = 253
  4. 4. N = −46
  5. 5. R = 48
  6. 6. N = 1023

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