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 0xB9. What is the pattern's value N in decimal?

0xB9
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
place values in two's complement1−12806413201618141201

The 8-bit pattern 1010 1110 stores a signed integer in two's complement. What is its value N in decimal?

1010 11108 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −100 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1008 bit
U =
5.Hard
10-bit two's complement, N = ??sign?????????

What is the most negative integer N that can be stored in 10-bit two's complement?

10 bit
N =
6.Hard
4985 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 4985 items its own binary code of the same length. What is the smallest number of bits b needed?

4985
b = bit

Answer key

  1. 1. N = 185
  2. 2. N = 126
  3. 3. N = −82
  4. 4. U = 156
  5. 5. N = −512
  6. 6. b = 13 bit

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