Cards (78)

    • What is the base of the binary number system?
      2
    • The binary number system uses only two digits: 0 and 1
    • Binary is essential in computing because computers process data using binary code.
    • Match the position in a binary number with its corresponding decimal value:
      1st (rightmost) ↔️ 1
      2nd ↔️ 2
      3rd ↔️ 4
      4th ↔️ 8
    • What is the decimal equivalent of the binary number 1011_{2}</latex>?
      11
    • To convert a decimal number to binary, use the division by 2
    • Steps to convert a decimal number to binary using the division by 2 method:
      1️⃣ Divide the decimal number by 2
      2️⃣ Record the remainder
      3️⃣ Repeat the process until the quotient is 0
      4️⃣ Read the remainders from bottom to top
    • The binary equivalent of 251025_{10} is 11001211001_{2}.
    • What does each position in a binary number represent?
      A power of 2
    • To convert a binary number to decimal, multiply each digit by its corresponding power of 2
    • What is the decimal equivalent of the binary number 101101_{2}</latex>?
      45
    • In binary addition,1 + 1 equals 10.
    • In binary addition, if the sum is 10, you carry 1
    • What is the result of adding 101121011_{2} and1101_{2}</latex> in binary?

      11000211000_{2}
    • What base does binary addition use?
      Base-2
    • In binary addition, 1+1 +1= 1 =10 10, which carries 1 to the next column.
    • The result of adding 1011_{2}</latex> and 110121101_{2} is 11000211000_{2}
    • In binary subtraction, 01=0 - 1 =1 1, which requires a borrow from the next column.
    • What is the result of 1101_{2} - 101_{2}</latex>?
      100021000_{2}
    • What two digits are used in the binary number system?
      0 and 1
    • In a binary number, each position represents a power of 2.
    • 10112=1011_{2} =1110 11_{10}
    • What method is used to convert a decimal number to binary?
      Division by 2
    • The binary equivalent of 251025_{10} is 11001_{2}</latex>.
    • How is a binary number converted to decimal?
      Multiply by powers of 2
    • 1011012=101101_{2} =4510 45_{10}
    • In binary addition, 1+1 +1= 1 =10 10, which carries 1 to the next column.
    • What is the result of adding 101121011_{2} and 1101_{2}</latex>?

      11000211000_{2}
    • What is the result of 1101210121101_{2} - 101_{2}?

      100021000_{2}
    • What is the result of 0 - 0 in binary subtraction?
      0
    • What is the result of 1 - 0 in binary subtraction?
      1
    • What is the result of 1 - 1 in binary subtraction?
      0
    • 110121012=1101_{2} - 101_{2} =10002 1000_{2} is an example of binary subtraction
    • Binary subtraction uses only two digits: 0 and 1
    • What is the result of 1 - 1 in binary subtraction with no borrow?
      0
    • Binary multiplication is based on the concepts of repeated addition and shift
    • What is the result of 10112×1021011_{2} \times 10_{2} in binary?

      10110210110_{2}
    • Binary multiplication is simpler than decimal multiplication due to using only 0s and 1s
    • Steps for binary division
      1️⃣ Set up the division like long division
      2️⃣ Compare the divisor with the leftmost digits of the dividend
      3️⃣ Subtract the divisor if it is less than or equal
      4️⃣ Write "1" in the quotient
      5️⃣ Write "0" in the quotient if the divisor is greater
      6️⃣ Bring down the next digit from the dividend
      7️⃣ Repeat until all digits are processed
    • What is the quotient when 1011012101101_{2} is divided by 1012101_{2}?

      100121001_{2}