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 0x8E. What is the pattern's value N in decimal?

0x8E
N =
2.Easy
place valuesD256016A1

Convert the hexadecimal number 0xD0A to decimal. Find N.

0xD0AA = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −14 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −148 bit
U =
4.Medium
place values in two's complement0−12806413201618040211

The 8-bit pattern 0010 1001 stores a signed integer in two's complement. What is its value N in decimal?

0010 10018 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0110 0110 XOR 0100 0010. What is the result's value R in decimal?

0110 0110XOR0100 0010
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 0100 AND 0111 0101. What is the result's value R in decimal?

1001 0100AND0111 0101
R =

Answer key

  1. 1. N = 142
  2. 2. N = 3338
  3. 3. U = 242
  4. 4. N = 41
  5. 5. R = 36
  6. 6. R = 20

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