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 0x87. What is the pattern's value N in decimal?

0x87
N =
2.Easy
place valuesE256116B1

Convert the hexadecimal number 0xE1B to decimal. Find N.

0xE1BA = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −28 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −288 bit
U =
4.Medium
place values in two's complement1−12816413201608040211

The 8-bit pattern 1110 0001 stores a signed integer in two's complement. What is its value N in decimal?

1110 00018 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 0011 0000 << 3. What is the result's value R in decimal?

0011 0000<< 3
R =

Answer key

  1. 1. N = 135
  2. 2. N = 3611
  3. 3. U = 228
  4. 4. N = −31
  5. 5. N = −2.147 × 10⁹
  6. 6. R = 128

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