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

0xCA
N =
2.Easy
place values1256F1631

Convert the hexadecimal number 0x1F3 to decimal. Find N.

0x1F3A = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −63 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −638 bit
U =
4.Medium
place values in two's complement0−12816403201618140201

The 8-bit pattern 0100 1100 stores a signed integer in two's complement. What is its value N in decimal?

0100 11008 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1010 1011 >> 1. What is the result's value R in decimal?

1010 1011>> 1
R =
6.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 =

Answer key

  1. 1. N = 202
  2. 2. N = 499
  3. 3. U = 193
  4. 4. N = 76
  5. 5. R = 85
  6. 6. N = −512

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