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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1.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x9D. What is the pattern's value N in decimal?

0x9D
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x8B. What is the pattern's value N in decimal?

0x8B
N =
3.Medium
place values in two's complement0−12816403211608041201

The 8-bit pattern 0101 0010 stores a signed integer in two's complement. What is its value N in decimal?

0101 00108 bit
N =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −66 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −668 bit
U =
5.Hard
16-bit two's complement, N = ??sign???????????????

What is the most negative integer N that can be stored in 16-bit two's complement?

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

Set the bits to the 8-bit result of 0100 1011 XOR 1011 0011. What is the result's value R in decimal?

0100 1011XOR1011 0011
R =

Answer key

  1. 1. N = 157
  2. 2. N = 139
  3. 3. N = 82
  4. 4. U = 190
  5. 5. N = −32768
  6. 6. R = 248

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