Digital Arithmetic Operations and Circuits Questions

• What logic function is the sum output of a half-adder?
• Solve this binary problem: 01110010 – 01001000 =
• Solving –11 + (–2) will yield which two's-complement answer?
• Perform subtraction on each of the following binary numbers by taking the two's-complement of the number being subtracted and then adding it to the first number. 01001 01100 00011 00111
• Which of the following is the primary advantage of using binary-coded decimal (BCD) instead of straight binary coding?
• A half-adder circuit would normally be used each time a carry input is required in an added circuit.
• Fast-look-ahead carry circuits found in most 4-bit full-adder circuits:
• Solve the following:
• Solve this binary problem: 01000110 ÷ 00001010 =
• One way to make a four-bit adder perform subtraction is by:
• The two's-complement system is to be used to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.
• Solve this BCD problem: 0100 + 0110 =
• The truth table for a full adder is shown below. What are the values of X, Y, and Z?
• Convert each of the following signed binary numbers (two's-complement) to a signed decimal number. 00000101 11111100 11111000
• Subtract the following binary numbers. 0101 1000 1010 0011 1101 1110 –0010 0011 –0011 1000 –0101 0111
• The 2's-complement system is to be used to add the signed binary numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.
• Find the 2's complement of –1101102.
• The carry propagation delay in full-adder circuits:
• Why is a fast-look-ahead carry circuit used in the 7483 4-bit full-adder?
• Convert each of the signed decimal numbers to an 8-bit signed binary number (two's-complement). +7 –3 –12