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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Name: ____________________   Date: ____________

1.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x53. What is the pattern's value N in decimal?

0x53
N =
2.Easy
place valuesB25631651

Convert the hexadecimal number 0xB35 to decimal. Find N.

0xB35A = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −22 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −228 bit
U =
4.Medium
place values in two's complement1−12816413201608040211

The 8-bit pattern 1110 0001 stores a signed integer in two's complement. What is its value N in decimal?

1110 00018 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0101 1100 >> 2. What is the result's value R in decimal?

0101 1100>> 2
R =
6.Hard
3939 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 3939 items its own binary code of the same length. What is the smallest number of bits b needed?

3939
b = bit

Answer key

  1. 1. N = 83
  2. 2. N = 2869
  3. 3. U = 234
  4. 4. N = −31
  5. 5. R = 23
  6. 6. b = 12 bit

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