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
place valuesB256416A1

Convert the hexadecimal number 0xB4A to decimal. Find N.

0xB4AA = 10 … F = 15
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x69. What is the pattern's value N in decimal?

0x69
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −88 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −888 bit
U =
4.Medium
place values in two's complement1−12806413201608040201

The 8-bit pattern 1010 0000 stores a signed integer in two's complement. What is its value N in decimal?

1010 00008 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1000 1010 >> 3. What is the result's value R in decimal?

1000 1010>> 3
R =
6.Hard
4914 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 4914 items its own binary code of the same length. What is the smallest number of bits b needed?

4914
b = bit

Answer key

  1. 1. N = 2890
  2. 2. N = 105
  3. 3. U = 168
  4. 4. N = −96
  5. 5. R = 17
  6. 6. b = 13 bit

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