How To Use This Three sets of conversion challenges build on what the demo activity showed you. Each problem has its own answer box and feedback. You can attempt any problem in any order, and you can re-check after editing your answer. Keep the demo open in another browser tab so you can flip the bit switches, use the ASCII table, and apply what you learned here.

Set 1 · Binary to Decimal 0 of 10 solved

Reading base 2

For each binary number, calculate its decimal value. Use the place value table. A binary 1 means “include this place value”; a binary 0 means “skip it.” Add up the included values.

Reminder. Read binary right to left. The rightmost bit is always the smallest place value (1).

Position Bit 8Bit 7Bit 6Bit 5 Bit 4Bit 3Bit 2Bit 1
Place value 128643216 8421

    Set 2 · Binary to Hex 0 of 8 solved

    Compressing binary into base 16

    Split each byte into two nibbles (4 bits each). Convert each nibble using the reference table. The upper nibble is the first hex digit; the lower nibble is the second. Type your answer as 0x followed by two hex digits, or just the two digits. Either form is accepted.

    BinaryDecimalHexBinaryDecimalHex
    000000100088
    000111100199
    001022101010A
    001133101111B
    010044110012C
    010155110113D
    011066111014E
    011177111115F

      Forensic note: A file that begins with FF D8 FF is a JPEG, regardless of what the filename says. Recognizing hex signatures is a real forensic skill.

      Set 3 · Hex to ASCII 0 of 2 solved

      Bytes become letters

      Each hex pair below is one ASCII character. Use the reference to convert each pair into a letter, then type the full decoded word into the answer box. Capitalization does not matter.

      0x41 = A
      0x42 = B
      0x43 = C
      0x44 = D
      0x45 = E
      0x46 = F
      0x47 = G
      0x48 = H
      0x49 = I
      0x4A = J
      0x4B = K
      0x4C = L
      0x4D = M
      0x4E = N
      0x4F = O
      0x50 = P
      0x51 = Q
      0x52 = R
      0x53 = S
      0x54 = T
      0x55 = U
      0x56 = V
      0x57 = W
      0x58 = X
      0x59 = Y
      0x5A = Z
      0x20 = space
      0x21 = !
        Bonus Capstone

        Binary → Hex → ASCII chain

        Convert each binary byte to its hex value, then look up the ASCII letter. The five letters form a word you have heard a lot today.

        01010011  01010100  01000001  01010010  01001011