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 0xC0. What is the pattern's value N in decimal?

0xC0
N =
2.Easy
place values4256916D1

Convert the hexadecimal number 0x49D to decimal. Find N.

0x49DA = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −45 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −458 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −6 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −68 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0100 0110 << 3. What is the result's value R in decimal?

0100 0110<< 3
R =
6.Hard
24-bit two's complement, N = ??sign???????????????????????

What is the most negative integer N that can be stored in 24-bit two's complement?

24 bit
N =

Answer key

  1. 1. N = 192
  2. 2. N = 1181
  3. 3. U = 211
  4. 4. U = 250
  5. 5. R = 48
  6. 6. N = −8.389 × 10⁶

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