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 values112816403201608040201

Convert the binary number 1100 0000₂ to decimal. Find N.

1100 0000₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x5F. What is the pattern's value N in decimal?

0x5F
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −4 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −48 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −37 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −378 bit
U =
5.Hard
12-bit two's complement, N = ??sign???????????

What is the most negative integer N that can be stored in 12-bit two's complement?

12 bit
N =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0101 1001 XOR 1110 0101. What is the result's value R in decimal?

0101 1001XOR1110 0101
R =

Answer key

  1. 1. N = 192
  2. 2. N = 95
  3. 3. U = 252
  4. 4. U = 219
  5. 5. N = −2048
  6. 6. R = 188

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