ASCII Representation of “BAT” in Binary – Single Character Focus

Answer: The letter “B” in ASCII is 66, which in binary is 1000010.
Description:

• In ASCII, each character is assigned a decimal value:
  • “A” = 65
  • “B” = 66 (since it follows A in the alphabet)
  • “T” = 84
• To convert 66 (decimal) to binary:
  • 66 ÷ 2 = 33 remainder 0
  • 33 ÷ 2 = 16 remainder 1
  • 16 ÷ 2 = 8 remainder 0
  • 8 ÷ 2 = 4 remainder 0
  • 4 ÷ 2 = 2 remainder 0
  • 2 ÷ 2 = 1 remainder 0
  • 1 ÷ 2 = 0 remainder 1
  • Read remainders bottom to top: 1000010 (7 bits, standard for ASCII).
• ASCII typically uses 7 or 8 bits; with 8 bits, it’s 01000010 (leading zero added).

Answer: The word “BAT” in ASCII binary is:

• B = 66 = 1000010
• A = 65 = 1000001
• T = 84 = 1010100
• Combined (7-bit per character): 1000010 1000001 1010100.
  Description:
• ASCII values:
  • “B” = 66 → Binary: 1000010 (divide 66 by 2 repeatedly: 33r0, 16r1, 8r0, 4r0, 2r0, 1r0, 0r1).
  • “A” = 65 → Binary: 1000001 (divide 65: 32r1, 16r0, 8r0, 4r0, 2r0, 1r0, 0r1).
  • “T” = 84 → Binary: 1010100 (divide 84: 42r0, 21r0, 10r1, 5r0, 2r1, 1r0, 0r1).
• Each character uses 7 bits in basic ASCII; with 8 bits, add a leading zero (e.g., 01000010 01000001 01010100).
• The binary string represents “BAT” as stored or transmitted in a computer.

Answer: In BCD, the digit 9 is represented as 1001. For 99, each 9 is 1001, so it’s 1001 1001.
Description:

• BCD (Binary-Coded Decimal) encodes each decimal digit (0-9) using 4 bits:
  • 0 = 0000, 1 = 0001, 2 = 0010, 3 = 0011, 4 = 0100, 5 = 0101, 6 = 0110, 7 = 0111, 8 = 1000, 9 = 1001.
• For the number 99, break it into individual digits: 9 and 9.
• First 9 = 1001 (binary for 9 in BCD).
• Second 9 = 1001 (same).
• Thus, one 9 from 99 is 1001 in BCD. The full number 99 is two sets of 4 bits, but this focuses on a single digit’s representation.

Answer: The BCD representation of 99 is 1001 1001 (8 bits total). In pure binary, 99 is 1100011 (7 bits).
Description:

• BCD Conversion:
  • In BCD, each decimal digit is encoded separately with 4 bits:
    • 9 = 1001.
    • 99 = 9 and 9 → 1001 (first 9) and 1001 (second 9) = 1001 1001.
• Pure Binary Conversion:
  • Convert 99 to binary:
    • 99 ÷ 2 = 49r1, 49 ÷ 2 = 24r1, 24 ÷ 2 = 12r0, 12 ÷ 2 = 6r0, 6 ÷ 2 = 3r0, 3 ÷ 2 = 1r1, 1 ÷ 2 = 0r1.
    • Bottom to top: 1100011 (7 bits).
• Difference:
  • BCD uses 8 bits (4 per digit) and directly represents each decimal digit, making it less efficient but easier for decimal display systems.
  • Pure binary uses 7 bits, compacting the value into a single binary number, which is more efficient for computation but not digit-by-digit readable.