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 0xF9. What is the pattern's value N in decimal?

0xF9
N =
2.Easy
place values2256F1681

Convert the hexadecimal number 0x2F8 to decimal. Find N.

0x2F8A = 10 … F = 15
N =
3.Medium
place values in two's complement1−12806413201618040211

The 8-bit pattern 1010 1001 stores a signed integer in two's complement. What is its value N in decimal?

1010 10018 bit
N =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −84 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −848 bit
U =
5.Hard
24 bit1 px1024 px768 pxM = ? KiB

An uncompressed image is 1024 × 768 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1024 × 768 px24 bit/px1 KiB = 1024 B
M = KiB
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0100 1110 << 2. What is the result's value R in decimal?

0100 1110<< 2
R =

Answer key

  1. 1. N = 249
  2. 2. N = 760
  3. 3. N = −87
  4. 4. U = 172
  5. 5. M = 2304 KiB
  6. 6. R = 56

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