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
place values012816403201618141201

Convert the binary number 0100 1110₂ to decimal. Find N.

0100 1110₂
N =
2.Easy
place values5256A1621

Convert the hexadecimal number 0x5A2 to decimal. Find N.

0x5A2A = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −114 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −1148 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −104 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1048 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1111 0011 AND 0011 1110. What is the result's value R in decimal?

1111 0011AND0011 1110
R =
6.Hard
12-bit two's complement, N = ??sign???????????

What is the most negative integer N that can be stored in 12-bit two's complement?

12 bit
N =

Answer key

  1. 1. N = 78
  2. 2. N = 1442
  3. 3. U = 142
  4. 4. U = 152
  5. 5. R = 50
  6. 6. N = −2048

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