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 0x94. What is the pattern's value N in decimal?

0x94
N =
2.Easy
place valuesB256F1611

Convert the hexadecimal number 0xBF1 to decimal. Find N.

0xBF1A = 10 … F = 15
N =
3.Medium
place values in two's complement1−12806413201608040201

The 8-bit pattern 1010 0000 stores a signed integer in two's complement. What is its value N in decimal?

1010 00008 bit
N =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −55 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −558 bit
U =
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 0111 1000 AND 0011 1111. What is the result's value R in decimal?

0111 1000AND0011 1111
R =

Answer key

  1. 1. N = 148
  2. 2. N = 3057
  3. 3. N = −96
  4. 4. U = 201
  5. 5. N = −2.147 × 10⁹
  6. 6. R = 56

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