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 0xC6. What is the pattern's value N in decimal?

0xC6
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x47. What is the pattern's value N in decimal?

0x47
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −52 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −528 bit
U =
4.Medium
place values in two's complement1−12816403211618141211

The 8-bit pattern 1101 1111 stores a signed integer in two's complement. What is its value N in decimal?

1101 11118 bit
N =
5.Hard
4387 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 4387 items its own binary code of the same length. What is the smallest number of bits b needed?

4387
b = bit
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1000 0101 XOR 0011 1100. What is the result's value R in decimal?

1000 0101XOR0011 1100
R =

Answer key

  1. 1. N = 198
  2. 2. N = 71
  3. 3. U = 204
  4. 4. N = −33
  5. 5. b = 13 bit
  6. 6. R = 185

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