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

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

Set the bits so the 8-bit register holds 0x7E. What is the pattern's value N in decimal?

0x7E
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −107 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1078 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −112 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1128 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1101 1100 AND 1110 0101. What is the result's value R in decimal?

1101 1100AND1110 0101
R =
6.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 =

Answer key

  1. 1. N = 188
  2. 2. N = 126
  3. 3. U = 149
  4. 4. U = 144
  5. 5. R = 196
  6. 6. N = −32768

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